publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2018-03-15 | Improving the capacity of quantum dense coding by weak measurement and reversal measurement | A protocol of quantum dense coding protection of two qubits is proposed in
amplitude damping (AD) channel using weak measurement and reversal measurement.
It is found that the capacity of quantum dense coding under the weak
measurement and reversal measurement is always greater than that without weak
measurement and re... | 1803.05678v1 |
2018-05-08 | Optomechanical damping as the origin of sideband asymmetry | Sideband asymmetry in cavity optomechanics has been explained by particle
creation and annihilation processes, which bestow an amplitude proportional to
'n+1' and 'n' excitations to each of the respective sidebands. We discuss the
issues with this as well as other interpretations, such as quantum backaction
and noise i... | 1805.02952v4 |
2018-05-11 | On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term | We consider the 2D Boussinesq equations with a velocity damping term in a
strip $\mathbb{T}\times[-1,1]$, with impermeable walls. In this physical
scenario, where the \textit{Boussinesq approximation} is accurate when
density/temperature variations are small, our main result is the asymptotic
stability for a specific t... | 1805.05179v2 |
2018-06-30 | A linearized and conservative Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation in three dimensions | In this paper, we propose a linearized Fourier pseudo-spectral method, which
preserves the total mass and energy conservation laws, for the damped nonlinear
Schr\"{o}dinger equation in three dimensions. With the aid of the semi-norm
equivalence between the Fourier pseudo-spectral method and the finite
difference method... | 1807.00091v3 |
2018-07-11 | Global existence and blow-up for semilinear damped wave equations in three space dimensions | We consider initial value problem for semilinear damped wave equations in
three space dimensions. We show the small data global existence for the problem
without the spherically symmetric assumption and obtain the sharp lifespan of
the solutions. This paper is devoted to a proof of the Takamura's conjecture on
the life... | 1807.04327v3 |
2018-07-18 | B-field induced mixing between Langmuir waves and axions | We present an analytic study of the dispersion relation for an isotropic
magnetized plasma interacting with axions. We provide a quantitative picture of
the electromagnetic plasma oscillations in both the ultrarelativistic and
nonrelativistic regimes and considering both non-degenerate and degenerate
media, accounting ... | 1807.06828v2 |
2018-07-26 | Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms | In this report we obtain higher order asymptotic expansions of solutions to
wave equations with frictional and viscoelastic damping terms. Although the
diffusion phenomena are dominant, differences between the solutions we deal
with and those of heat equations can be seen by comparing the second order
expansions of the... | 1807.10020v1 |
2018-08-16 | Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary | In this paper we are interested in the behavior of the solutions of
non-autonomous damped wave equations when some reaction terms are concentrated
in a neighborhood of the boundary and this neighborhood shrinks to boundary as
a parameter \varepsilon goes to zero. We prove the conti- nuity of the set
equilibria of these... | 1808.05667v1 |
2018-08-30 | Protecting temporal correlations of two-qubit states using quantum channels with memory | Quantum temporal correlations exhibited by violations of Leggett-Garg
Inequality (LGI) and Temporal Steering Inequality (TSI) are in general found to
be non-increasing under decoherence channels when probed on two-qubit pure
entangled states. We study the action of decoherence channels, such as
amplitude damping, phase... | 1808.10345v1 |
2018-09-17 | Global existence for weakly coupled systems of semi-linear structurally damped $σ$-evolution models with different power nonlinearities | In this paper, we study the Cauchy problems for weakly coupled systems of
semi-linear structurally damped $\sigma$-evolution models with different power
nonlinearities. By assuming additional $L^m$ regularity on the initial data,
with $m \in [1,2)$, we use $(L^m \cap L^2)- L^2$ and $L^2- L^2$ estimates for
solutions to... | 1809.06744v2 |
2018-09-25 | On the energy decay rates for the 1D damped fractional Klein-Gordon equation | We consider the fractional Klein-Gordon equation in one spatial dimension,
subjected to a damping coefficient, which is non-trivial and periodic, or more
generally strictly positive on a periodic set. We show that the energy of the
solution decays at the polynomial rate $O(t^{-\frac{s}{4-2s}})$ for $0< s<2 $
and at som... | 1809.09531v1 |
2018-10-15 | Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism | We prove the global well-posedness in the critical Besov spaces for the
incompressible Oldroyd-B model without damping mechanism on the stress tensor
in $\mathbb{R}^d$ for the small initial data. Our proof is based on the
observation that the behaviors of Green's matrix to the system of
$\big(u,(-\Delta)^{-\frac12}\mat... | 1810.06171v1 |
2018-10-18 | Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism | The present work is dedicated to the global solutions to the incompressible
Oldroyd-B model without damping on the stress tensor in $\mathbb{R}^n(n=2,3)$.
This result allows to construct global solutions for a class of highly
oscillating initial velocity. The proof uses the special structure of the
system. Moreover, ou... | 1810.08048v3 |
2018-10-30 | Global well-posedness for nonlinear wave equations with supercritical source and damping terms | We prove the global well-posedness of weak solutions for nonlinear wave
equations with supercritical source and damping terms on a three-dimensional
torus $\mathbb T^3$ of the prototype \begin{align*} &u_{tt}-\Delta
u+|u_t|^{m-1}u_t=|u|^{p-1}u, \;\; (x,t) \in \mathbb T^3 \times \mathbb R^+ ;
\notag\\ &u(0)=u_0 \in H^1(... | 1810.12476v1 |
2018-11-02 | Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability | In this paper, we consider nonlinear thermoelastic systems of Timoshenko type
in a one-dimensional bounded domain. The system has two dissipative mechanisms
being present in the equation for transverse displacement and rotation angle -
a frictional damping and a dissipation through hyperbolic heat conduction
modelled b... | 1811.01128v1 |
2018-11-14 | Quantum witness of a damped qubit with generalized measurements | We evaluate the quantum witness based on the no-signaling-in-time condition
of a damped two-level system for nonselective generalized measurements of
varying strength. We explicitly compute its dependence on the measurement
strength for a generic example. We find a vanishing derivative for weak
measurements and an infi... | 1811.06013v1 |
2018-12-11 | Blow up of solutions to semilinear non-autonomous wave equations under Robin boundary conditions | The problem of blow up of solutions to the initial boundary value problem for
non-autonomous semilinear wave equation with damping and accelerating terms
under the Robin boundary condition is studied. Sufficient conditions of blow up
in a finite time of solutions to semilinear damped wave equations with
arbitrary large... | 1812.04595v1 |
2018-12-23 | Global existence of weak solutions for strongly damped wave equations with nonlinear boundary conditions and balanced potentials | We demonstrate the global existence of weak solutions to a class of
semilinear strongly damped wave equations possessing nonlinear hyperbolic
dynamic boundary conditions. Our work assumes $(-\Delta_W)^\theta \partial_tu$
with $\theta\in[\frac{1}{2},1)$ and where $\Delta_W$ is the Wentzell-Laplacian.
Hence, the associat... | 1812.09781v1 |
2018-12-24 | Cold Damping of an Optically Levitated Nanoparticle to micro-Kelvin Temperatures | We implement a cold damping scheme to cool one mode of the center-of-mass
motion of an optically levitated nanoparticle in ultrahigh vacuum from room
temperature to a record-low temperature of 100 micro-Kelvin. The measured
temperature dependence on feedback gain and thermal decoherence rate is in
excellent agreement w... | 1812.09875v1 |
2019-01-18 | Decay of semilinear damped wave equations:cases without geometric control condition | We consider the semilinear damped wave equation $\partial_{tt}^2
u(x,t)+\gamma(x)\partial_t u(x,t)=\Delta u(x,t)-\alpha u(x,t)-f(x,u(x,t))$. In
this article, we obtain the first results concerning the stabilization of this
semilinear equation in cases where $\gamma$ does not satisfy the geometric
control condition. Whe... | 1901.06169v1 |
2019-02-04 | Non-Markovian Effects on Overdamped Systems | We study the consequences of adopting the memory dependent, non-Markovian,
physics with the memory-less over-damped approximation usually employed to
investigate Brownian particles. Due to the finite correlation time scale
associated with the noise, the stationary behavior of the system is not
described by the Boltzman... | 1902.01356v1 |
2019-02-06 | Stability analysis of a 1D wave equation with a nonmonotone distributed damping | This paper is concerned with the asymptotic stability analysis of a one
dimensional wave equation subject to a nonmonotone distributed damping. A
well-posedness result is provided together with a precise characterization of
the asymptotic behavior of the trajectories of the system under consideration.
The well-posednes... | 1902.02050v1 |
2019-02-13 | Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)] | A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a
Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that
non-Hermiticity of this Hamiltonian has been ignored to find real discrete
eigenvalues which are actually non-real. We emphasize that non-Hermiticity in
Hamiltonian is cru... | 1902.04895v1 |
2019-02-15 | Memory effects teleportation of quantum Fisher information under decoherence | We have investigated how memory effects on the teleportation of quantum
Fisher information(QFI) for a single qubit system using a class of X-states as
resources influenced by decoherence channels with memory, including amplitude
damping, phase-damping and depolarizing channels. Resort to the definition of
QFI, we first... | 1902.05668v1 |
2019-02-23 | Uniform decay rates for a suspension bridge with locally distributed nonlinear damping | We study a nonlocal evolution equation modeling the deformation of a bridge,
either a footbridge or a suspension bridge. Contrarily to the previous
literature we prove the asymptotic stability of the considered model with a
minimum amount of damping which represents less cost of material. The result is
also numerically... | 1902.09963v1 |
2019-03-01 | Spectra of the Dissipative Spin Chain | This paper generalizes the (0+1)-dimensional spin-boson problem to the
corresponding (1+1)-dimensional version. Monte Carlo simulation is used to find
the phase diagram and imaginary time correlation function. The real frequency
spectrum is recovered by the newly developed P\'ade regression analytic
continuation method... | 1903.00567v1 |
2019-03-17 | Sensing Kondo correlations in a suspended carbon nanotube mechanical resonator with spin-orbit coupling | We study electron mechanical coupling in a suspended carbon nanotube (CNT)
quantum dot device. Electron spin couples to the flexural vibration mode due to
spin-orbit coupling in the electron tunneling processes. In the weak coupling
limit, i.e. electron-vibration coupling is much smaller than the electron
energy scale,... | 1903.07049v1 |
2019-03-27 | Lifespan of semilinear generalized Tricomi equation with Strauss type exponent | In this paper, we consider the blow-up problem of semilinear generalized
Tricomi equation. Two blow-up results with lifespan upper bound are obtained
under subcritical and critical Strauss type exponent. In the subcritical case,
the proof is based on the test function method and the iteration argument. In
the critical ... | 1903.11351v2 |
2019-04-01 | A remark on semi-linear damped $σ$-evolution equations with a modulus of continuity term in nonlinearity | In this article, we indicate that under suitable assumptions of a modulus of
continuity we obtain either the global (in time) existence of small data
Sobolev solutions or the blow-up result of local (in time) Sobolev solutions to
semi-linear damped $\sigma$-evolution equations with a modulus of continuity
term in nonli... | 1904.00698v3 |
2019-04-05 | Critical regularity of nonlinearities in semilinear classical damped wave equations | In this paper we consider the Cauchy problem for the semilinear damped wave
equation
$u_{tt}-\Delta u + u_t = h(u);\qquad u(0;x) = f(x); \quad u_t(0;x) = g(x);$
where $h(s) = |s|^{1+2/n}\mu(|s|)$. Here n is the space dimension and $\mu$
is a modulus of continuity. Our goal is to obtain sharp conditions on $\mu$ to
... | 1904.02939v1 |
2019-04-29 | Origin of the DAMPE 1.4 TeV peak | Recent accurate measurements of cosmic ray electron flux by the Dark Matter
Particle Explorer (DAMPE) reveal a sharp peak structure near 1.4 TeV, which is
difficult to explain by standard astrophysical processes. In this letter, we
propose a simple model that the enhanced dark matter annihilation via the
$e^+e^-$ chann... | 1904.12418v1 |
2019-05-07 | Decay estimate for the solution of the evolutionary damped $p$-Laplace equation | In this note, we study the asymptotic behavior, as $t$ tends to infinity, of
the solution $u$ to the evolutionary damped $p$-Laplace equation
\begin{equation*}
u_{tt}+a\, u_t =\Delta_p u \end{equation*}
with Dirichlet boundary values. Let $u^*$ denote the stationary solution with
same boundary values, then the $W^{... | 1905.03597v2 |
2019-05-10 | Asymptotic profiles for damped plate equations with rotational inertia terms | We consider the Cauchy problem for plate equations with rotational inertia
and frictional damping terms. We will derive asymptotic profiles of the
solution in L^2-sense as time goes to infinity in the case when the initial
data have high and low regularity, respectively. Especially, in the low
regularity case of the in... | 1905.04012v1 |
2019-05-20 | Small perturbations for a Duffing-like evolution equation involving non-commuting operators | We consider an abstract evolution equation with linear damping, a nonlinear
term of Duffing type, and a small forcing term. The abstract problem is
inspired by some models for damped oscillations of a beam subject to external
loads or magnetic fields, and shaken by a transversal force.
The main feature is that very n... | 1905.07942v1 |
2019-05-30 | A study of coherence based measure of quantumness in (non) Markovian channels | We make a detailed analysis of quantumness for various quantum noise
channels, both Markovian and non-Markovian. The noise channels considered
include dephasing channels like random telegraph noise, non-Markovian dephasing
and phase damping, as well as the non-dephasing channels such as generalized
amplitude damping an... | 1905.12872v1 |
2019-05-30 | Stabilization for vibrating plate with singular structural damping | We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli
plate equation, with a locally distributed singular structural (or viscoelastic
) damping in a boundary domain. Using a frequency domain method combined, based
on the Burq's result, combined with an estimate of Carleman type we provide
precise ... | 1905.13089v1 |
2019-06-12 | A no-go result for the quantum damped harmonic oscillator | In this letter we show that it is not possible to set up a canonical
quantization for the damped harmonic oscillator using the Bateman lagrangian.
In particular, we prove that no square integrable vacuum exists for the {\em
natural} ladder operators of the system, and that the only vacua can be found
as distributions. ... | 1906.05121v2 |
2019-06-26 | Mismatched Estimation of Polynomially Damped Signals | In this work, we consider the problem of estimating the parameters of
polynomially damped sinusoidal signals, commonly encountered in, for instance,
spectroscopy. Generally, finding the parameter values of such signals
constitutes a high-dimensional problem, often further complicated by not
knowing the number of signal... | 1906.11113v1 |
2019-06-27 | Temperature-Dependent Lifetimes of Low-Frequency Adsorbate Modes from Non-Equilibrium Molecular Dynamics Simulations | We present calculations on the damping of a low-frequency adsorbate mode on a
metal surface, namely the frustrated translation of Na on Cu(100). For the
first time, vibrational lifetimes of excited adlayers are extracted from
non-equilibrium molecular dynamics calculations accounting for both the
phononic and the elect... | 1906.11776v1 |
2019-07-10 | Formal expansions in stochastic model for wave turbulence 1: kinetic limit | We consider the damped/driver (modified) cubic NLS equation on a large torus
with a properly scaled forcing and dissipation, and decompose its solutions to
formal series in the amplitude. We study the second order truncation of this
series and prove that when the amplitude goes to zero and the torus' size goes
to infin... | 1907.04531v4 |
2019-07-22 | Thresholds for low regularity solutions to wave equations with structural damping | We study the asymptotic behavior of solutions to wave equations with a
structural damping term \[ u_{tt}-\Delta u+\Delta^2 u_t=0, \qquad
u(0,x)=u_0(x), \,\,\, u_t(0,x)=u_1(x), \] in the whole space. New thresholds
are reported in this paper that indicate which of the diffusion wave property
and the non-diffusive struct... | 1907.09299v1 |
2019-08-03 | Lindblad dynamics of the damped and forced quantum harmonic oscillator | The quantum dynamics of a damped and forced harmonic oscillator is
investigated in terms of a Lindblad master equation. Elementary algebraic
techniques are employed allowing for example to analyze the long time behavior,
i.e. the quantum limit cycle. The time evolution of various expectation values
is obtained in close... | 1908.01187v2 |
2019-08-07 | Decay estimates for the linear damped wave equation on the Heisenberg group | This paper is devoted to the derivation of $L^2$ - $L^2$ decay estimates for
the solution of the homogeneous linear damped wave equation on the Heisenberg
group $\mathbf{H}_n$, for its time derivative and for its horizontal gradient.
Moreover, we consider the improvement of these estimates when further
$L^1(\mathbf{H}_... | 1908.02657v1 |
2019-08-08 | Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity | In this paper, we consider the Cauchy problem for the semilinear damped wave
equation on the Heisenberg group with power nonlinearity. We prove that the
critical exponent is the Fujita exponent $p_{\mathrm{Fuj}}(\mathscr{Q}) = 1+2 /
\mathscr{Q}$, where $\mathscr{Q}$ is the homogeneous dimension of the
Heisenberg group.... | 1908.02989v1 |
2019-09-01 | Invariant measures for stochastic damped 2D Euler equations | We study the two-dimensional Euler equations, damped by a linear term and
driven by an additive noise. The existence of weak solutions has already been
studied; pathwise uniqueness is known for solutions that have vorticity in
$L^\infty$. In this paper, we prove the Markov property and then the existence
of an invarian... | 1909.00424v2 |
2019-09-03 | A blow-up result for semi-linear structurally damped $σ$-evolution equations | We would like to prove a blow-up result for semi-linear structurally damped
$\sigma$-evolution equations, where $\sigma \ge 1$ and $\delta\in [0,\sigma)$
are assumed to be any fractional numbers. To deal with the fractional Laplacian
operators $(-\Delta)^\sigma$ and $(-\Delta)^\delta$ as well-known non-local
operators,... | 1909.01181v1 |
2019-09-09 | Action Functional for a Particle with Damping | In this brief report we discuss the action functional of a particle with
damping, showing that it can be obtained from the dissipative equation of
motion through a modification which makes the new dissipative equation
invariant for time reversal symmetry. This action functional is exactly the
effective action of Caldei... | 1909.03694v2 |
2019-09-11 | Equilibrium radiation in a plasma medium with spatial and frequency dispersion | Examination of equilibrium radiation in plasma media shows that the spectral
energy distribution of such radiation is different from the Planck equilibrium
radiation. Using the approach of quantum electrodynamics the general relation
for the spectral energy density of equilibrium radiation in a system of charged
partic... | 1909.08056v1 |
2019-10-14 | Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain | In this paper, we consider the initial boundary value problem in an exterior
domain for semilinear strongly damped wave equations with power nonlinear term
of the derivative-type $|u_t|^q$ or the mixed-type $|u|^p+|u_t|^q$, where
$p,q>1$. On one hand, employing the Banach fixed-point theorem we prove local
(in time) ex... | 1910.05981v1 |
2019-11-03 | Linear Inviscid Damping in Sobolev and Gevrey Spaces | In a recent article Jia established linear inviscid damping in Gevrey
regularity for compactly supported Gevrey regular shear flows in a finite
channel, which is of great interest in view of existing nonlinear results. In
this article we provide an alternative very short proof of stability in Gevrey
regularity as a con... | 1911.00880v1 |
2019-11-03 | A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain | We study two-dimensional semilinear strongly damped wave equation with mixed
nonlinearity $|u|^p+|u_t|^q$ in an exterior domain, where $p,q>1$. Assuming the
smallness of initial data in exponentially weighted spaces and some conditions
on powers of nonlinearity, we prove global (in time) existence of small data
energy ... | 1911.00899v1 |
2019-11-05 | Critical exponent for a weakly coupled system of semi-linear $σ$-evolution equations with frictional damping | We are interested in studying the Cauchy problem for a weakly coupled system
of semi-linear $\sigma$-evolution equations with frictional damping. The main
purpose of this paper is two-fold. We would like to not only prove the global
(in time) existence of small data energy solutions but also indicate the
blow-up result... | 1911.01946v1 |
2019-11-11 | Existence and nonexistence of global solutions for a structurally damped wave system with power nonlinearities | Our interest itself of this paper is strongly inspired from an open problem
in the paper [1] published by D'Abbicco. In this article, we would like to
study the Cauchy problem for a weakly coupled system of semi-linear
structurally damped wave equations. Main goal is to find the threshold, which
classifies the global (... | 1911.04412v1 |
2019-11-15 | Some $L^1$-$L^1$ estimates for solutions to visco-elastic damped $σ$-evolution models | This note is to conclude $L^1-L^1$ estimates for solutions to the following
Cauchy problem for visco-elastic damped $\sigma$-evolution models:
\begin{equation} \begin{cases} u_{tt}+ (-\Delta)^\sigma u+ (-\Delta)^\sigma u_t
= 0, &\quad x\in \mathbb{R}^n,\, t \ge 0, \\ u(0,x)= u_0(x),\quad
u_t(0,x)=u_1(x), &\quad x\in \m... | 1911.06563v1 |
2019-11-22 | Long-time asymptotics for a coupled thermoelastic plate-membrane system | In this paper we consider a transmission problem for a system of a
thermoelastic plate with (or without) rotational inertia term coupled with a
membrane with different variants of damping for the plate and/or the membrane.
We prove well-posedness of the problem and higher regularity of the solution
and study the asympt... | 1911.10161v1 |
2019-11-28 | Tikhonov regularization of a second order dynamical system with Hessian driven damping | We investigate the asymptotic properties of the trajectories generated by a
second-order dynamical system with Hessian driven damping and a Tikhonov
regularization term in connection with the minimization of a smooth convex
function in Hilbert spaces. We obtain fast convergence results for the function
values along the... | 1911.12845v2 |
2019-12-15 | Negative mobility, sliding and delocalization for stochastic networks | We consider prototype configurations for quasi-one-dimensional stochastic
networks that exhibit negative mobility, meaning that current decreases or even
reversed as the bias is increased. We then explore the implications of
disorder. In particular we ask whether lower and upper bias thresholds restrict
the possibility... | 1912.07059v2 |
2019-12-23 | On a damped Szego equation (with an appendix in collaboration with Christian Klein) | We investigate how damping the lowest Fourier mode modifies the dynamics of
the cubic Szeg{\"o} equation. We show that there is a nonempty open subset of
initial data generating trajec-tories with high Sobolev norms tending to
infinity. In addition, we give a complete picture of this phenomenon on a
reduced phase space... | 1912.10933v1 |
2020-01-29 | The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems | In this paper we propose new numerical algorithms in the setting of
unconstrained optimization problems and we study the rate of convergence in the
iterates of the objective function. Furthermore, our algorithms are based upon
splitting and symplectic methods and they preserve the energy properties of the
inherent cont... | 2001.10831v2 |
2020-02-05 | Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation | For the one-dimensional nonlinear damped Klein-Gordon equation \[
\partial_{t}^{2}u+2\alpha\partial_{t}u-\partial_{x}^{2}u+u-|u|^{p-1}u=0 \quad
\mbox{on $\mathbb{R}\times\mathbb{R}$,}\] with $\alpha>0$ and $p>2$, we prove
that any global finite energy solution either converges to $0$ or behaves
asymptotically as $t\to ... | 2002.01826v1 |
2020-02-11 | Distributional Solutions of the Damped Wave Equation | This work presents results on solutions of the one-dimensional damped wave
equation, also called telegrapher's equation, when the initial conditions are
general distributions, not only functions. We make a complete deduction of its
fundamental solutions, both for positive and negative times. To obtain them we
use only ... | 2002.04249v2 |
2020-02-13 | Description of the wavevector dispersion of surface plasmon-phonon-polaritons | We reported here the results of the calculations of wavevector dispersion of
oscillations frequencies, $\omega'(k)$, and damping $\omega''(k)$ of the
surface plasmon phonon polaritons (\mbox{SPPhP}) for the heavy-doped GaN
sample. We showed that $\omega'(k)$- dependence consists of the three branches
with the specific ... | 2002.05473v1 |
2020-03-20 | The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping | In the present paper, we prove time decay estimates of solutions in weighted
Sobolev spaces to the second order evolution equation with fractional Laplacian
and damping for data in Besov spaces. Our estimates generalize the estimates
obtained in the previous studies. The second aim of this article is to apply
these est... | 2003.09239v1 |
2020-03-31 | Time-Asymptotics of Physical Vacuum Free Boundaries for Compressible Inviscid Flows with Damping | In this paper, we prove the leading term of time-asymptotics of the moving
vacuum boundary for compressible inviscid flows with damping to be that for
Barenblatt self-similar solutions to the corresponding porous media equations
obtained by simplifying momentum equations via Darcy's law plus the possible
shift due to t... | 2003.14072v2 |
2020-04-13 | Landau damping for analytic and Gevrey data | In this paper, we give an elementary proof of the nonlinear Landau damping
for the Vlasov-Poisson system near Penrose stable equilibria on the torus
$\mathbb{T}^d \times \mathbb{R}^d$ that was first obtained by Mouhot and
Villani in \cite{MV} for analytic data and subsequently extended by Bedrossian,
Masmoudi, and Mouh... | 2004.05979v3 |
2020-04-16 | Strichartz estimates for mixed homogeneous surfaces in three dimensions | We obtain sharp mixed norm Strichartz estimates associated to mixed
homogeneous surfaces in $\mathbb{R}^3$. Both cases with and without a damping
factor are considered. In the case when a damping factor is considered our
results yield a wide generalization of a result of Carbery, Kenig, and Ziesler
[CKZ13]. The approac... | 2004.07751v1 |
2020-04-17 | Critical exponent for semi-linear structurally damped wave equation of derivative type | Main purpose of this paper is to study the following semi-linear structurally
damped wave equation with nonlinearity of derivative type: $$u_{tt}- \Delta u+
\mu(-\Delta)^{\sigma/2} u_t= |u_t|^p,\quad u(0,x)= u_0(x),\quad
u_t(0,x)=u_1(x),$$ with $\mu>0$, $n\geq1$, $\sigma \in (0,2]$ and $p>1$. In
particular, we are goin... | 2004.08486v2 |
2020-04-29 | Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds | We study the decay of the global energy for the damped Klein-Gordon equation
on non-compact manifolds with finitely many cylindrical and subconic ends up to
bounded perturbation. We prove that under the Geometric Control Condition, the
decay is exponential, and that under the weaker Network Control Condition, the
decay... | 2004.13894v2 |
2020-05-06 | Zero-dimensional models for gravitational and scalar QED decoherence | We investigate the dynamics of two quantum mechanical oscillator system-bath
toy models obtained by truncating to zero spatial dimensions linearized gravity
coupled to a massive scalar field and scalar QED. The scalar-gravity toy model
maps onto the phase damped oscillator, while the scalar QED toy model
approximately ... | 2005.02554v2 |
2020-05-16 | On the asymptotic stability of wave equations coupled by velocities of anti-symmetric type | In this paper, we study the asymptotic stability of two wave equations
coupled by velocities of anti-symmetric type via only one damping. We adopt the
frequency domain method to prove that the system with smooth initial data is
logarithmically stable, provided that the coupling domain and the damping
domain intersect e... | 2005.07977v2 |
2020-05-27 | On the blow-up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups | In this note, we prove a blow-up result for the semilinear damped wave
equation in a compact Lie group with power nonlinearity $|u|^p$ for any $p>1$,
under suitable integral sign assumptions for the initial data, by using an
iteration argument. A byproduct of this method is the upper bound estimate for
the lifespan of ... | 2005.13479v2 |
2020-06-13 | On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations | We study the time-harmonic Galbrun equation describing the propagation of
sound in the presence of a steady background flow. With additional rotational
and gravitational terms these equations are also fundamental in helio- and
asteroseismology as a model for stellar oscillations. For a simple damping
model we prove wel... | 2006.07658v1 |
2020-06-22 | Prediction of short time qubit readout via measurement of the next quantum jump of a coupled damped driven harmonic oscillator | The dynamics of the next quantum jump for a qubit [two level system] coupled
to a readout resonator [damped driven harmonic oscillator] is calculated. A
quantum mechanical treatment of readout resonator reveals non exponential short
time behavior which could facilitate detection of the state of the qubit faster
than th... | 2006.11950v1 |
2020-07-08 | The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations | We would like to study a weakly coupled system of semi-linear classical
damped wave equations with moduli of continuity in nonlinearities whose powers
belong to the critical curve in the $p-q$ plane. The main goal of this paper is
to find out the sharp conditions of these moduli of continuity which classify
between glo... | 2007.04157v1 |
2020-07-09 | Semi-uniform stability of operator semigroups and energy decay of damped waves | Only in the last fifteen years or so has the notion of semi-uniform
stability, which lies between exponential stability and strong stability,
become part of the asymptotic theory of $C_0$-semigroups. It now lies at the
very heart of modern semigroup theory. After briefly reviewing the notions of
exponential and strong ... | 2007.04711v1 |
2020-07-10 | Quasi-periodic travelling waves for a class of damped beams on rectangular tori | This article concerns a class of beam equations with damping on rectangular
tori. When the generators satisfy certain relationship, by excluding some value
of two model parameters, we prove that such models admit small amplitude
quasi-periodic travelling wave solutions with two frequencies, which are
continuations of t... | 2007.05154v1 |
2020-07-24 | A Framework to Control Inter-Area Oscillations with Local Measurement | Inter-area oscillations in power system limit of power transfer capability
though tie-lines. For stable operation, wide-area power system stabilizers are
deployed to provide sufficient damping. However, as the feedback is through a
communication network, it brings challenges such as additional communication
layer and c... | 2007.12426v1 |
2020-07-24 | Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems | In this paper, we propose a second-order continuous primal-dual dynamical
system with time-dependent positive damping terms for a separable convex
optimization problem with linear equality constraints. By the Lyapunov function
approach, we investigate asymptotic properties of the proposed dynamical system
as the time $... | 2007.12428v1 |
2020-08-17 | Dynamics of spatially indistinguishable particles and entanglement protection | We provide a general framework which allows one to obtain the dynamics of $N$
noninteracting spatially indistinguishable particles locally coupled to
separated environments. The approach is universal, being valid for both bosons
and fermions and for any type of system-environment interaction. It is then
applied to stud... | 2008.07471v1 |
2020-09-02 | Discriminating qubit amplitude damping channels | We address the issue of the discrimination between two-qubit amplitude
damping channels by exploring several strategies. For the single-shot, we show
that the excited state does not always give the optimal input, and that side
entanglement assistance has limited benefit. On the contrary, feedback
assistance from the en... | 2009.01000v3 |
2020-09-03 | Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation | This article is concerned with the asymptotic behavior of the two-dimensional
inviscid Boussinesq equations with a damping term in the velocity equation.
Precisely, we provide the time-decay rates of the smooth solutions to that
system. The key ingredient is a careful analysis of the Green kernel of the
linearized prob... | 2009.01578v2 |
2020-08-05 | The perturbational stability of the Schr$\ddot{o}$dinger equation | By using the Wigner transform, it is shown that the nonlinear
Schr$\ddot{\textmd{o}}$dinger equation can be described, in phase space, by a
kinetic theory similar to the Vlasov equation which is used for describing a
classical collisionless plasma. In this paper we mainly show Landau damping in
the quantum sense, namel... | 2009.09855v1 |
2020-10-12 | Long time behavior of solutions for a damped Benjamin-Ono equation | We consider the Benjamin-Ono equation on the torus with an additional damping
term on the smallest Fourier modes (cos and sin). We first prove global
well-posedness of this equation in $L^2_{r,0}(\mathbb{T})$. Then, we describe
the weak limit points of the trajectories in $L^2_{r,0}(\mathbb{T})$ when time
goes to infin... | 2010.05520v1 |
2020-10-21 | Initial boundary value problem for a strongly damped wave equation with a general nonlinearity | In this paper, a strongly damped semilinear wave equation with a general
nonlinearity is considered. With the help of a newly constructed auxiliary
functional and the concavity argument, a general finite time blow-up criterion
is established for this problem. Furthermore, the lifespan of the weak solution
is estimated ... | 2010.10696v1 |
2020-10-21 | MRI Image Recovery using Damped Denoising Vector AMP | Motivated by image recovery in magnetic resonance imaging (MRI), we propose a
new approach to solving linear inverse problems based on iteratively calling a
deep neural-network, sometimes referred to as plug-and-play recovery. Our
approach is based on the vector approximate message passing (VAMP) algorithm,
which is kn... | 2010.11321v1 |
2020-11-05 | Mathematical modelling of an unstable bent flow using the selective frequency damping method | The selective frequency damping method was applied to a bent flow. The method
was used in an adaptive formulation. The most dangerous frequency was
determined by solving an eigenvalue problem. It was found that one of the
patterns, steady-state or pulsating, may exist at some relatively high Reynolds
numbers. The perio... | 2011.02646v1 |
2020-11-04 | The "Dark disk" model in the light of DAMPE experiment | There are a lot of models considering the Dark Matter (DM) to be the origin
of cosmic ray (CR) positron excess. However, they face an obstacle in the form
of gamma-rays. Simple DM models tend to overproduce gamma-rays, leading to
contradiction with isotropic gamma-ray background (IGRB). The <<dark disk>>
model has been... | 2011.04425v2 |
2020-12-15 | On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force | In this paper, we investigate the stabilization of a linear Bresse system
with one discontinuous local internal viscoelastic damping of Kelvin-Voigt type
acting on the axial force, under fully Dirichlet boundary conditions. First,
using a general criteria of Arendt-Batty, we prove the strong stability of our
system. Fi... | 2012.08219v1 |
2021-01-16 | Convergence of non-autonomous attractors for subquintic weakly damped wave equation | We study the non-autonomous weakly damped wave equation with subquintic
growth condition on the nonlinearity. Our main focus is the class of
Shatah--Struwe solutions, which satisfy the Strichartz estimates and are
coincide with the class of solutions obtained by the Galerkin method. For this
class we show the existence... | 2101.06523v1 |
2021-01-20 | A Damped Newton Algorithm for Generated Jacobian Equations | Generated Jacobian Equations have been introduced by Trudinger [Disc. cont.
dyn. sys (2014), pp. 1663-1681] as a generalization of Monge-Amp{\`e}re
equations arising in optimal transport. In this paper, we introduce and study a
damped Newton algorithm for solving these equations in the semi-discrete
setting, meaning th... | 2101.08080v1 |
2021-02-14 | Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping | We find a sharp condition on the density-dependent coefficient of damping of
a one-dimensional repulsive Euler-Poisson system, which makes it possible to
suppress the formation of singularities in the solution of the Cauchy problem
with arbitrary smooth data. In the context of plasma physics, this means the
possibility... | 2102.07176v2 |
2021-02-15 | Piezoelectric beam with magnetic effect, time-varying delay and time-varying weights | The main result of this work is to obtain the exponential decay of the
solutions of a piezoelectric beam model with magnetic effect and delay term.
The dampings are inserted into the equation of longitudinal displacement. The
terms of damping, whose weight associated with them varies over time, are of
the friction type... | 2102.07538v1 |
2021-02-23 | Effects of ground-state correlations on damping of giant dipole resonaces in $LS$ closed shell nuclei | The effects of ground-state correlations on the damping of isovector giant
dipole resonances in $LS$ closed shell nuclei $^{16}$O and $^{40}$Ca are
studied using extended random-phase-approximation (RPA) approaches derived from
the time-dependent density-matrix theory. It is pointed out that unconventional
two-body amp... | 2102.11505v2 |
2021-02-28 | The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization | In this paper, we investigate the stabilization of a linear Bresse system
with one singular local frictional damping acting in the longitudinal
displacement, under fully Dirichlet boundary conditions. First, we prove the
strong stability of our system. Next, using a frequency domain approach
combined with the multiplie... | 2103.00628v2 |
2021-03-01 | On a damped nonlinear beam equation | In this note we analyze the large time behavior of solutions to an
initial/boundary problem involving a damped nonlinear beam equation. We show
that under physically realistic conditions on the nonlinear terms in the
equation of motion the energy is a decreasing function of time and solutions
converge to a stationary s... | 2103.00969v3 |
2021-03-05 | Universal spin wave damping in magnetic Weyl semimetals | We analyze the decay of spin waves into Stoner excitations in magnetic Weyl
semimetals. The lifetime of a mode is found to have a universal dependence on
its frequency and momentum, and on a few parameters that characterize the
relativistic Weyl spectrum. At the same time, Gilbert damping by Weyl electrons
is absent. T... | 2103.03885v1 |
2021-03-23 | Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics | In this paper, we propose in a Hilbertian setting a second-order
time-continuous dynamic system with fast convergence guarantees to solve
structured convex minimization problems with an affine constraint. The system
is associated with the augmented Lagrangian formulation of the minimization
problem. The corresponding d... | 2103.12675v1 |
2021-03-29 | Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation | We analyze the analytic Landau damping problem for the Vlasov-HMF equation,
by fixing the asymptotic behavior of the solution. We use a new method for this
"scattering problem", closer to the one used for the Cauchy problem. In this
way we are able to compare the two results, emphasizing the different influence
of the ... | 2103.15932v2 |
2021-04-06 | Realising Einstein's mirror: Optomechanical damping with a thermal photon gas | In 1909 Einstein described the thermalization of a mirror within a blackbody
cavity by collisions with thermal photons. While the time to thermalize the
motion of even a microscale or nanoscale object is so long that it is not
feasible, we show that it is using the high intensity light from an amplified
thermal light s... | 2104.02708v2 |
2021-04-12 | Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation | In this paper we consider the inverse problem of identifying the initial data
in a fractionally damped wave equation from time trace measurements on a
surface, as relevant in photoacoustic or thermoacoustic tomography. We derive
and analyze a time stepping method for the numerical solution of the
corresponding forward ... | 2104.05577v1 |
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