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2021-04-15 | Explaining Neptune's Eccentricity | Early migration damped Neptune's eccentricity. Here, we assume that the
damped value was much smaller than the value observed today, and show that the
closest flyby of $\sim 0.1 \; \mathrm{M_{\odot}}$ star over $\sim 4.5
\mathrm{\; Gyr}$ in the field, at a distance of $\sim 10^3 \mathrm{\; AU}$
would explain the value ... | 2104.07672v3 |
2021-04-17 | Lifespan estimates for wave equations with damping and potential posed on asymptotically Euclidean manifolds | In this work, we investigate the problem of finite time blow up as well as
the upper bound estimates of lifespan for solutions to small-amplitude
semilinear wave equations with time dependent damping and potential, and mixed
nonlinearities $c_1 |u_t|^p+c_2 |u|^q$, posed on asymptotically Euclidean
manifolds, which is r... | 2104.08497v2 |
2021-06-02 | Convergent dynamics of optimal nonlinear damping control | Following Demidovich's concept and definition of convergent systems, we
analyze the optimal nonlinear damping control, recently proposed [1] for the
second-order systems. Targeting the problem of output regulation,
correspondingly tracking of $\mathcal{C}^1$-trajectories, it is shown that all
solutions of the control s... | 2106.00962v1 |
2021-06-26 | Role of Dissipation on the Stability of a Parametrically Driven Quantum Harmonic Oscillator | We study the dissipative dynamics of a single quantum harmonic oscillator
subjected to a parametric driving with in an effective Hamiltonian approach.
Using Liouville von Neumann approach, we show that the time evolution of a
parametrically driven dissipative quantum oscillator has a strong connection
with the classica... | 2106.14018v1 |
2021-07-11 | Space-time arithmetic quasi-periodic homogenization for damped wave equations | This paper is concerned with space-time homogenization problems for damped
wave equations with spatially periodic oscillating elliptic coefficients and
temporally (arithmetic) quasi-periodic oscillating viscosity coefficients. Main
results consist of a homogenization theorem, qualitative properties of
homogenized matri... | 2107.04966v1 |
2021-07-29 | Global existence for damped $σ$-evolution equations with nonlocal nonlinearity | In this research, we would like to study the global (in time) existence of
small data solutions to the following damped $\sigma$-evolution equations with
nonlocal (in space) nonlinearity: \begin{equation*}
\partial_{t}^{2}u+(-\Delta)^{\sigma}u+\partial_{t}u+(-\Delta)^{\sigma}\partial_{t}u=I_{\alpha}(|u|^{p}),
\ \ t>0, ... | 2107.13924v1 |
2021-08-17 | Estimate of the attractive velocity of attractors for some dynamical systems | In this paper, we first prove an abstract theorem on the existence of
polynomial attractors and the concrete estimate of their attractive velocity
for infinite-dimensional dynamical systems, then apply this theorem to a class
of wave equations with nonlocal weak damping and anti-damping in case that the
nonlinear term~... | 2108.07410v4 |
2021-08-27 | Distributed Mirror Descent Algorithm with Bregman Damping for Nonsmooth Constrained Optimization | To solve distributed optimization efficiently with various constraints and
nonsmooth functions, we propose a distributed mirror descent algorithm with
embedded Bregman damping, as a generalization of conventional distributed
projection-based algorithms. In fact, our continuous-time algorithm well
inherits good capabili... | 2108.12136v1 |
2021-08-27 | Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation | We study the non relativistic and ultra relativistic limits in the
two-dimensional nonlinear damped Klein-Gordon equation driven by a space-time
white noise on the torus. In order to take the limits, it is crucial to clarify
the parameter dependence in the estimates of solution. In this paper we present
two methods to ... | 2108.12183v4 |
2021-09-08 | The isothermal limit for the compressible Euler equations with damping | We consider the isothermal Euler system with damping. We rigorously show the
convergence of Barenblatt solutions towards a limit Gaussian profile in the
isothermal limit $\gamma$ $\rightarrow$ 1, and we explicitly compute the
propagation and the behavior of Gaussian initial data. We then show the weak L
1 convergence o... | 2109.03590v1 |
2021-11-01 | Strong solution of modified 3D-Navier-stockes equations | In this paper we study the incompressible Navier-Stokes equations with
logarithme damping {\alpha} log(e + |u|2)|u|2u, where we used new methods, new
tools and Fourier analysis | 2111.00859v2 |
2021-11-02 | Blow-up of solutions to semilinear wave equations with a time-dependent strong damping | The paper investigates a class of a semilinear wave equation with
time-dependent damping term ($-\frac{1}{{(1+t)}^{\beta}}\Delta u_t$) and a
nonlinearity $|u|^p$. We will show the influence of the the parameter $\beta$
in the blow-up results under some hypothesis on the initial data and the
exponent $p$ by using the te... | 2111.01433v1 |
2021-11-02 | Around plane waves solutions of the Schr{ö}dinger-Langevin equation | We consider the logarithmic Schr{\"o}dinger equations with damping, also
called Schr{\"o}dinger-Langevin equation. On a periodic domain, this equation
possesses plane wave solutions that are explicit. We prove that these solutions
are asymptotically stable in Sobolev regularity. In the case without damping,
we prove th... | 2111.01487v1 |
2021-11-11 | Stabilization for Euler-Bernoulli beam equation with a local degenerated Kelvin-Voigt damping | We consider the Euler-Bernoulli beam equation with a local Kelvin-Voigt
dissipation type in the interval $(-1,1)$. The coefficient damping is only
effective in $(0,1)$ and is degenerating near the $0$ point with a speed at
least equal to $x^{\alpha}$ where $\alpha\in(0,5)$. We prove that the semigroup
corresponding to ... | 2111.06431v1 |
2021-11-12 | GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method | We propose an eigensolver and the corresponding package, GCGE, for solving
large scale eigenvalue problems. This method is the combination of damping
idea, subspace projection method and inverse power method with dynamic shifts.
To reduce the dimensions of projection subspaces, a moving mechanism is
developed when the ... | 2111.06552v1 |
2021-11-25 | Continuity and topological structural stability for nonautonomous random attractors | In this work, we study continuity and topological structural stability of
attractors for nonautonomous random differential equations obtained by small
bounded random perturbations of autonomous semilinear problems. First, we study
existence and permanence of unstable sets of hyperbolic solutions. Then, we use
this to e... | 2111.13006v1 |
2021-11-30 | Determining damping terms in fractional wave equations | This paper deals with the inverse problem of recovering an arbitrary number
of fractional damping terms in a wave equation. We develop several approaches
on uniqueness and reconstruction, some of them relying on Tauberian theorems on
the relation between the asymptotics of solutions in time and Laplace domain.
Also the... | 2112.00080v2 |
2021-12-20 | Dense Coding Capacity in Correlated Noisy Channels with Weak Measurement | Capacity of dense coding via correlated noisy channel is greater than that in
uncorrelated noisy channel. It is shown that weak measurement and reversal
measurement can make further effort to improve quantum dense coding capacity in
correlated amplitude damping channel, but this effort is very small in
correlated phase... | 2112.10346v1 |
2021-12-22 | Low-frequency squeezing spectrum of a laser drivenpolar quantum emitter | It was shown by a study of the incoherent part of the low-frequency resonance
fluorescence spectrum of the polar quantum emitter driven by semiclassical
external laser field and damped by non-squeezed vacuum reservoir that the
emitted fluorescence field is squeezed to some degree nevertheless. As was also
found, a high... | 2112.11809v1 |
2022-01-13 | Cavity optomechanics in a fiber cavity: the role of stimulated Brillouin scattering | We study the role of stimulated Brillouin scattering in a fiber cavity by
numerical simulations and a simple theoretical model and find good agreement
between experiment, simulation and theory. We also investigate an
optomechanical system based on a fiber cavity in the presence on the nonlinear
Brillouin scattering. Us... | 2201.04987v1 |
2022-01-20 | Vacuum and singularity formation for compressible Euler equations with time-dependent damping | In this paper, vacuum and singularity formation are considered for
compressible Euler equations with time-dependent damping. For $1<\gamma\leq 3$,
by constructing some new control functions ingeniously, we obtain the lower
bounds estimates on density for arbitrary classical solutions. Basing on these
lower estimates, w... | 2201.07957v1 |
2022-01-22 | Absorption of charged particles in Perfectly-Matched-Layers by optimal damping of the deposited current | Perfectly-Matched Layers (PML) are widely used in Particle-In-Cell
simulations, in order to absorb electromagnetic waves that propagate out of the
simulation domain. However, when charged particles cross the interface between
the simulation domain and the PMLs, a number of numerical artifacts can arise.
In order to mit... | 2201.09084v2 |
2022-03-19 | The Equilibrium Temperature of Planets on Eccentric Orbits: Time Scales and Averages | From estimates of the near-surface heat capacity of planets it is shown that
the thermal time scale is larger than the orbital period in the presence of a
global ocean that is well-mixed to a depth of 100 m, or of an atmosphere with a
pressure of several tens of bars. As a consequence, the temperature
fluctuations of s... | 2203.11723v1 |
2022-03-31 | Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings | This paper is concerned with the long-time dynamical behavior of a
piezoelectric system with magnetic effect, which has nonlinear damping terms
and external forces with a parameter. At first, we use the nonlinear semigroup
theory to prove the well-posedness of solutions. Then, we investigate the
properties of global at... | 2203.16736v1 |
2022-04-08 | Effect of Tamm surface states on hot electron generation and Landau damping in nanostructures metal-semiconductor | The hot electron generation in plasmonic nanoparticles is the key to
efficient plasmonic photocatalysis. In the paper, we study theoretically for
the first time the effect of Tamm states (TSs) at the interface
metal-semiconductor on hot electron generation and Landau damping (LD) in metal
nanoparticles. TSs can lead to... | 2204.04021v1 |
2022-04-11 | Certified Reduced Basis Method for the Damped Wave Equations on Networks | In this paper we present a reduced basis method which yields
structure-preservation and a tight a posteriori error bound for the simulation
of the damped wave equations on networks. The error bound is based on the
exponential decay of the energy inside the system and therefore allows for
sharp bounds without the need o... | 2204.05010v1 |
2022-04-27 | Spectrum of the wave equation with Dirac damping on a non-compact star graph | We consider the wave equation on non-compact star graphs, subject to a
distributional damping defined through a Robin-type vertex condition with
complex coupling. It is shown that the non-self-adjoint generator of the
evolution problem admits an abrupt change in its spectral properties for a
special coupling related to... | 2204.12747v1 |
2022-04-27 | Dependence on the thermodynamic state of self-diffusion of pseudo hard-spheres | Self-diffusion, $D$, in a system of particles that interact with a pseudo
hard sphere potential is analyzed. Coupling with a solvent is represented by a
Langevin thermostat, characterized by the damping time $t_d$. The hypotheses
that $D=D_0 \varphi$ is proposed, where $D_0$ is the small concentration
diffusivity and $... | 2204.12969v1 |
2022-04-29 | Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure | The Coulomb excitations of charge density oscillation are calculated for a
double-layer heterostructure. Specifically, we consider two-dimensional (2D)
layers of silicene and graphene on a substrate. From the obtained surface
response function, we calculated the plasmon dispersion relations which
demonstrate the way in... | 2205.00053v1 |
2022-05-08 | A regularity criterion for a 3D tropical climate model with damping | In this paper we deal with the 3D tropical climate model with damping terms
in the equation of the barotropic mode $u$ and in the equation of the first
baroclinic mode $v$ of the velocity, and we establish a regularity criterion
for this system thanks to which the local smooth solution $(u, v, \theta)$ can
actually be ... | 2205.03841v3 |
2022-06-04 | Radiation backreaction in axion electrodynamics | Energy-momentum conservation of classical axion-electrodynamics is carefully
analyzed in the Hamiltonian formulation of the theory. The term responsible for
the energy transfer between the electromagnetic and the axion sectors is
identified. As a special application the axion-to-light Primakoff-process in
the backgroun... | 2206.02052v1 |
2022-06-07 | Strong attractors for weakly damped quintic wave equation in bounded domains | In this paper, we study the longtime dynamics for the weakly damped wave
equation with quintic non-linearity in a bounded smooth domain of
$\mathbb{R}^3.$ Based on the Strichartz estimates for the case of bounded
domains, we establish the existence of a strong global attractor in the phase
space $H^2(\Omega)\cap H^1_0(... | 2206.03158v1 |
2022-06-07 | Long-time dynamics of the wave equation with nonlocal weak damping and sup-cubic nonlinearity in 3-D domains | In this paper, we study the long-time dynamics for the wave equation with
nonlocal weak damping and sup-cubic nonlinearity in a bounded smooth domain of
$\mathbb{R}^3.$ Based on the Strichartz estimates for the case of bounded
domains, we first prove the global well-posedness of the Shatah-Struwe
solutions. Then we est... | 2206.03163v1 |
2022-06-10 | Spin Pumping into Anisotropic Dirac Electrons | We study spin pumping into an anisotropic Dirac electron system induced by
microwave irradiation to an adjacent ferromagnetic insulator theoretically. We
formulate the Gilbert damping enhancement due to the spin current flowing into
the Dirac electron system using second-order perturbation with respect to the
interfaci... | 2206.04899v1 |
2022-06-20 | Harmonic Oscillators of Mathematical Biology: Many Faces of a Predator-Prey Model | We show that a number of models in virus dynamics, epidemiology and plant
biology can be presented as ``damped" versions of the Lotka-Volterra
predator-prey model, by analogy to the damped harmonic oscillator. The analogy
deepens with the use of Lyapunov functions, which allow us to characterize
their dynamics and even... | 2206.09561v1 |
2022-06-21 | Phase-covariant mixtures of non-unital qubit maps | We analyze convex combinations of non-unital qubit maps that are
phase-covariant. In particular, we consider the behavior of maps that combine
amplitude damping, inverse amplitude damping, and pure dephasing. We show that
mixing non-unital channels can result in restoring the unitality, whereas
mixing commutative maps ... | 2206.10742v1 |
2022-07-01 | Stabilization results of a Lorenz piezoelectric beam with partial viscous dampings | In this paper, we investigate the stabilization of a one-dimensional Lorenz
piezoelectric (Stretching system) with partial viscous dampings. First, by
using Lorenz gauge conditions, we reformulate our system to achieve the
existence and uniqueness of the solution. Next, by using General criteria of
Arendt-Batty, we pro... | 2207.00488v1 |
2022-07-06 | Quantum Decomposition Algorithm For Master Equations of Stochastic Processes: The Damped Spin Case | We introduce a quantum decomposition algorithm (QDA) that decomposes the
problem $\frac{\partial \rho}{\partial t}=\mathcal{L}\rho=\lambda \rho$ into a
summation of eigenvalues times phase-space variables. One interesting feature
of QDA stems from its ability to simulate damped spin systems by means of pure
quantum har... | 2207.02755v3 |
2022-07-25 | Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport | In this paper we describe a fast algorithm for generating periodic RVEs of
polycrystalline materials. In particular, we use the damped Newton method from
semi-discrete optimal transport theory to generate 3D periodic Laguerre
tessellations (or power diagrams) with cells of given volumes. Complex,
polydisperse RVEs with... | 2207.12036v1 |
2022-07-27 | Subsonic time-periodic solution to compressible Euler equations with damping in a bounded domain | In this paper, we consider the one-dimensional isentropic compressible Euler
equations with linear damping $\beta(t,x)\rho u$ in a bounded domain, which can
be used to describe the process of compressible flows through a porous
medium.~And the model is imposed a dissipative subsonic time-periodic boundary
condition.~Ou... | 2207.13433v1 |
2022-09-10 | Landau damping on the torus for the Vlasov-Poisson system with massless electrons | This paper studies the nonlinear Landau damping on the torus $\mathbb{T}^d$
for the Vlasov-Poisson system with massless electrons (VPME). We consider
solutions with analytic or Gevrey ($\gamma > 1/3$) initial data, close to a
homogeneous equilibrium satisfying a Penrose stability condition. We show that
for such soluti... | 2209.04676v2 |
2022-09-25 | Polynomial mixing of a stochastic wave equation with dissipative damping | We study the long time statistics of a class of semi--linear wave equations
modeling the motions of a particle suspended in continuous media while being
subjected to random perturbations via an additive Gaussian noise. By comparison
with the nonlinear reaction settings, of which the solutions are known to
possess geome... | 2209.12151v2 |
2022-09-30 | A Lyapunov approach for the exponential stability of a damped Timoshenko beam | In this technical note, we consider the stability properties of a viscously
damped Timoshenko beam equation with spatially varying parameters. With the
help of the port-Hamiltonian framework, we first prove the existence of
solutions and show, by an appropriate Lyapunov function, that the system is
exponentially stable... | 2209.15281v1 |
2022-11-01 | Well-posedness and strong attractors for a beam model with degenerate nonlocal strong damping | This paper is devoted to initial-boundary value problem of an extensible beam
equation with degenerate nonlocal energy damping in
$\Omega\subset\mathbb{R}^n$: $u_{tt}-\kappa\Delta u+\Delta^2u-\gamma(\Vert
\Delta u\Vert^2+\Vert u_t\Vert^2)^q\Delta u_t+f(u)=0$. We prove the global
existence and uniqueness of weak solutio... | 2211.00287v3 |
2022-12-01 | The viscous damping of three dimensional spherical gas bubble inside unbounded compressible liquid | The present paper considers a homogeneous bubble inside an unbounded
polytropic compressible liquid with viscosity. The system is governed by the
Navier-Stokes equation with free boundary which is determined by the kinematic
and dynamic boundary conditions on the bubble-liquid interface. The global
existence of solutio... | 2212.00299v1 |
2023-02-17 | Control of magnon-photon coupling by spin torque | We demonstrate the influence of damping and field-like torques in the
magnon-photon coupling process by classically integrating the generalized
Landau-Lifshitz-Gilbert equation with RLC equation in which a phase correlation
between dynamic magnetization and microwave current through combined Amp\`ere
and Faraday effect... | 2302.08910v1 |
2023-02-23 | Hopf-Like Bifurcation in a Wave Equation at a Removable Singularity | It is shown that a one-dimensional damped wave equation with an odd time
derivative nonlinearity exhibits small amplitude bifurcating time periodic
solutions, when the bifurcation parameter is the linear damping coefficient is
positive and accumulates to zero. The upshot is that the singularity of the
linearized operat... | 2302.12092v2 |
2023-03-02 | Spin Pumping into Carbon Nanotubes | We theoretically study spin pumping from a ferromagnetic insulator (FI) into
a carbon nanotube (CNT). By employing the bosonization method, we formulate the
Gilbert damping induced by the FI/CNT junction, which can be measured by
ferromagnetic resonance. We show that the increase in the Gilbert damping has a
temperatur... | 2303.01343v2 |
2023-03-11 | Control estimates for 0th order pseudodifferential operators | We introduce the control conditions for 0th order pseudodifferential
operators $\mathbf{P}$ whose real parts satisfy the Morse--Smale dynamical
condition. We obtain microlocal control estimates under the control conditions.
As a result, we show that there are no singular profiles in the solution to the
evolution equati... | 2303.06443v2 |
2023-03-24 | Exponential decay estimates for semilinear wave-type equations with time-dependent time delay | In this paper, we analyze a semilinear damped second order evolution equation
with time-dependent time delay and time-dependent delay feedback coefficient.
The nonlinear term satisfies a local Lipschitz continuity assumption. Under
appropriate conditions, we prove well-posedness and exponential stability of
our model f... | 2303.14208v1 |
2023-03-25 | Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory | This paper is concerned with the existence and regularity of global attractor
$\mathcal A$ for a Kirchhoff wave equation with strong damping and memory in
the weighted time-dependent spaces $\mathcal H$ and $\mathcal H^{1}$,
respectively. In order to obtain the existence of $\mathcal A$, we mainly use
the energy method... | 2303.14387v1 |
2023-03-27 | Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions | This paper concerns the linear Landau damping for the two species
Vlasov-Poisson system for ions and electrons near Penrose stable equilibria.
The result is an extension of the result on the one species Vlasov-Poisson
equation by Mouhout and Villani. Different from their work we do not describe
the ions as a background... | 2303.14981v2 |
2023-03-28 | Role of intersublattice exchange interaction on ultrafast longitudinal and transverse magnetization dynamics in Permalloy | We report about element specific measurements of ultrafast demagnetization
and magnetization precession damping in Permalloy (Py) thin films.
Magnetization dynamics induced by optical pump at $1.5$eV is probed
simultaneously at the $M_{2,3}$ edges of Ni and Fe with High order Harmonics
for moderate demagnetization rate... | 2303.15837v1 |
2023-03-31 | Polynomial Mixing for a Weakly Damped Stochastic Nonlinear Schrödinger Equation | This paper is devoted to proving the polynomial mixing for a weakly damped
stochastic nonlinear Schr\"{o}dinger equation with additive noise on a 1D
bounded domain. The noise is white in time and smooth in space. We consider
both focusing and defocusing nonlinearities, respectively, with exponents of
the nonlinearity $... | 2303.18082v1 |
2023-05-07 | Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms | We consider a semilinear wave equation involving a time-dependent structural
damping term of the form
$\displaystyle\frac{1}{{(1+t)}^{\beta}}(-\Delta)^{\sigma/2} u_t$. Our results
show the influence of the parameters $\beta,\sigma$ on the nonexistence of
global weak solutions under assumptions on the given system data. | 2305.04278v1 |
2023-05-15 | Blow-up phenomena for a class of extensible beam equations | In this paper, we investigate the initial boundary value problem of the
following nonlinear extensible beam equation with nonlinear damping term $$u_{t
t}+\Delta^2 u-M\left(\|\nabla u\|^2\right) \Delta u-\Delta
u_t+\left|u_t\right|^{r-1} u_t=|u|^{p-1} u$$ which was considered by Yang et
al. (Advanced Nonlinear Studies ... | 2305.08398v1 |
2023-06-08 | Vanishing of long time average p-enstrophy dissipation rate in the inviscid limit of the 2D damped Navier-Stokes equations | In 2007, Constantin and Ramos proved a result on the vanishing long time
average enstrophy dissipation rate in the inviscid limit of the 2D damped
Navier-Stokes equations. In this work, we prove a generalization of this for
the p-enstrophy, sequences of distributions of initial data and sequences of
strongly converging... | 2306.05081v1 |
2023-06-13 | Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations | A class of asymptotically autonomous systems on the plane with oscillatory
coefficients is considered. It is assumed that the limiting system is
Hamiltonian with a stable equilibrium. The effect of damped multiplicative
stochastic perturbations of white noise type on the stability of the system is
discussed. It is show... | 2306.07694v1 |
2023-06-16 | Algorithm MGB to solve highly nonlinear elliptic PDEs in $\tilde{O}(n)$ FLOPS | We introduce Algorithm MGB (Multi Grid Barrier) for solving highly nonlinear
convex Euler-Lagrange equations. This class of problems includes many highly
nonlinear partial differential equations, such as $p$-Laplacians. We prove
that, if certain regularity hypotheses are satisfied, then our algorithm
converges in $\til... | 2306.10183v1 |
2023-06-28 | Global solutions and blow-up for the wave equation with variable coefficients: II. boundary supercritical source | In this paper, we consider the wave equation with variable coefficients and
boundary damping and supercritical source terms. The goal of this work is
devoted to prove the local and global existence, and classify decay rate of
energy depending on the growth near zero on the damping term. Moreover, we
prove the blow-up o... | 2306.15897v4 |
2023-07-24 | On the stability of a double porous elastic system with visco-porous dampings | In this paper we consider a one dimensional elastic system with double
porosity structure and with frictional damping in both porous equations. We
introduce two stability numbers $\chi_{0}$ and $\chi_{1}$ and prove that the
solution of the system decays exponentially provided that $\chi_{0}=0$ and
$\chi_{1}\neq0.$ Othe... | 2307.12690v1 |
2023-07-29 | An inverse problem for the fractionally damped wave equation | We consider an inverse problem for a Westervelt type nonlinear wave equation
with fractional damping. This equation arises in nonlinear acoustic imaging,
and we show the forward problem is locally well-posed. We prove that the smooth
coefficient of the nonlinearity can be uniquely determined, based on the
knowledge of ... | 2307.16065v1 |
2023-08-02 | Blow-up and lifespan estimate for the generalized tricomi equation with the scale-invariant damping and time derivative nonlinearity on exterior domain | The article is devoted to investigating the initial boundary value problem
for the damped wave equation in the scale-invariant case with time-dependent
speed of propagation on the exterior domain. By presenting suitable multipliers
and applying the test-function technique, we study the blow-up and the lifespan
of the s... | 2308.01272v2 |
2023-08-03 | Gravitational Wave Heating | It was shown in previous work that when a gravitational wave (GW) passes
through a viscous shell of matter the magnitude of the GW will be damped and
there are astrohysical circumstances in which the damping is almost complete.
The energy transfer from the GWs to the fluid will increase its temperature. We
construct a ... | 2308.01615v2 |
2023-08-08 | Stabilization of piezoelectric beam with Coleman-Gurtin or Gurtin-Pipkin thermal law and under Lorenz gauge condition | In this paper, we present the analysis of stability for a piezoelectric beam
subject to a thermal law (Coleman-Gurtin or Gurtin-Pipkin thermal law) adding
some viscous damping mechanism to the electric field in $x-$direction and
$z-$direction, and we discuss several cases. Then, there is no need to control
the electric... | 2308.04231v2 |
2023-08-11 | Well-posedness and global attractor for wave equation with nonlinear damping and super-cubic nonlinearity | In the paper, we study the semilinear wave equation involving the nonlinear
damping $g(u_t) $ and nonlinearity $f(u)$. Under the wider ranges of exponents
of $g$ and $f$, the well-posedness of the weak solution is achieved by
establishing a priori space-time estimates. Then, the existence of the global
attractor in the... | 2308.06208v1 |
2023-08-16 | Stability for degenerate wave equations with drift under simultaneous degenerate damping | In this paper we study the stability of two different problems. The first one
is a one-dimensional degenerate wave equation with degenerate damping,
incorporating a drift term and a leading operator in non-divergence form. In
the second problem we consider a system that couples degenerate and
non-degenerate wave equati... | 2308.08645v3 |
2023-09-02 | Existence and nonexistence of global solutions for time-dependent damped NLS equations | We investigate the Cauchy problem for the nonlinear Schr\"odinger equation
with a time-dependent linear damping term. Under non standard assumptions on
the loss dissipation, we prove the blow-up in the inter-critical regime, and
the global existence in the energy subcritical case. Our results generalize and
improve the... | 2309.00849v1 |
2023-09-04 | On the small-mass limit for stationary solutions of stochastic wave equations with state dependent friction | We investigate the convergence, in the small mass limit, of the stationary
solutions of a class of stochastic damped wave equations, where the friction
coefficient depends on the state and the noisy perturbation if of
multiplicative type. We show that the Smoluchowski-Kramers approximation that
has been previously show... | 2309.01549v1 |
2023-09-09 | Finite-dimensionality of attractors for wave equations with degenerate nonlocal damping | In this paper we study the fractal dimension of global attractors for a class
of wave equations with (single-point) degenerate nonlocal damping. Both the
equation and its linearization degenerate into linear wave equations at the
degenerate point and the usual approaches to bound the dimension of the
entirety of attrac... | 2309.04712v2 |
2023-09-19 | The Raman gap and collisional absorption | One of the long-standing puzzles observed in many laser-plasma experiments is
the gap in the Raman backscattering spectrum. This gap is characterized by the
absence of backscattered light between some critical wavelength and twice the
incident laser wavelength. The latter is associated with the absolute Raman
instabili... | 2309.10366v1 |
2023-09-21 | Inverse problems for a quasilinear strongly damped wave equation arising in nonlinear acoustics | We consider inverse problems for a Westervelt equation with a strong damping
and a time-dependent potential $q$. We first prove that all boundary
measurements, including the initial data, final data, and the lateral boundary
measurements, uniquely determine $q$ and the nonlinear coefficient $\beta$. The
proof is based ... | 2309.11775v1 |
2023-09-28 | On inverse problems for a strongly damped wave equation on compact manifolds | We consider a strongly damped wave equation on compact manifolds, both with
and without boundaries, and formulate the corresponding inverse problems. For
closed manifolds, we prove that the metric can be uniquely determined, up to an
isometry, from the knowledge of the source-to-solution map. Similarly, for
manifolds w... | 2309.16182v1 |
2023-10-10 | Emerging Spin-Orbit Torques in Low Dimensional Dirac Materials | We report a theoretical description of novel spin-orbit torque components
emerging in two-dimensional Dirac materials with broken inversion symmetry. In
contrast to usual metallic interfaces where field-like and damping-like torque
components are competing, we find that an intrinsic damping-like torque which
derives fr... | 2310.06447v1 |
2023-10-26 | Efficient Numerical Algorithm for Large-Scale Damped Natural Gradient Descent | We propose a new algorithm for efficiently solving the damped Fisher matrix
in large-scale scenarios where the number of parameters significantly exceeds
the number of available samples. This problem is fundamental for natural
gradient descent and stochastic reconfiguration. Our algorithm is based on
Cholesky decomposi... | 2310.17556v1 |
2023-11-09 | Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings | We study the global well-posedness and asymptotic behavior for a semilinear
damped wave equation with Neumann boundary conditions, modelling a
one-dimensional linearly elastic body interacting with a rigid substrate
through an adhesive material. The key feature of of the problem is that the
interplay between the nonlin... | 2311.05295v1 |
2023-11-29 | On the exponential stability of uniformly damped wave equations | We study damped wave propagation problems phrased as abstract evolution
equations in Hilbert spaces. Under some general assumptions, including a
natural compatibility condition for initial values, we establish exponential
decay estimates for all mild solutions using the language and tools of Hilbert
complexes. This fra... | 2311.18084v1 |
2023-12-01 | Semilinear wave inequalities with double damping and potential terms on Riemannian Manifolds | We study a semilinear wave inequality with double damping on a complete
noncompact Riemannian manifold. The considered problem involves a potential
function $V$ depending on the space variable in front of the power nonlinearity
and an inhomogeneous term $W$ depending on both time and space variables.
Namely, we establi... | 2312.00617v1 |
2023-12-29 | On damping a control system of arbitrary order with global aftereffect on a tree | We study a problem of damping a control system described by
functional-differential equations of natural order $n$ and neutral type with
non-smooth complex coefficients on an arbitrary tree with global delay. The
latter means that the delay propagates through internal vertices of the tree.
Minimization of the energy fu... | 2312.17592v1 |
2024-01-11 | Weak collision effect on nonlinear Landau damping for the Vlasov-Poisson-Fokker-Planck system | We investigate the impact of weak collisions on Landau damping in the
Vlasov-Poisson-Fokker-Planck system on a torus, specifically focusing on its
proximity to a Maxwellian distribution. In the case where the Gevrey index
satisfies $\frac{1}{s}<3$, we establish the global stability and enhanced
dissipation of small ini... | 2401.05601v3 |
2024-01-23 | Revisit on global existence of solutions for semilinear damped wave equations in $\mathbb{R}^N$ with noncompactly supported initial data | In this note, we study the Cauchy problem of the semilinear damped wave
equation and our aim is the small data global existence for noncompactly
supported initial data. For this problem, Ikehata and Tanizawa [5] introduced
the energy method with the exponential-type weight function $e^{|x|^2/(1+t)}$,
which is the so-ca... | 2401.12530v1 |
2024-01-24 | Eigenmode analysis of the damped Jaynes-Cummings model | The generating functions for density matrix elements of the Jaynes-Cummings
model with cavity damping are analysed in terms of their eigenmodes, which are
characterised by a specific temporal behaviour. These eigenmodes are shown to
be proportional to particular generalised hypergeometric functions. The
relative weight... | 2401.13348v1 |
2024-02-15 | A comprehensive modelling and experimental approach for damped oscillations in U-tubes via Easy JavaScript Simulations | In recent years, science simulations have become popular among educators due
to their educational usefulness, availability, and potential for increasing the
students' knowledge on scientific topics. In this paper, we introduce the
implementation of a user-friendly simulation based on Easy Java/JavaScript
Simulations (E... | 2402.09866v1 |
2024-02-21 | Hybrid Multi-Directional Quantum Communication Protocol | The way a new type of state called a hybrid state, which contains more than
one degree of freedom, is used in many practical applications of quantum
communication tasks with lesser amount of resources. Similarly, our aim is here
to perform multi-quantum communication tasks in a protocol to approach quantum
information ... | 2402.14043v1 |
2024-03-19 | Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions | We derive a posteriori error estimates for the the scalar wave equation
discretized in space by continuous finite elements and in time by the explicit
leapfrog scheme. Our analysis combines the idea of invoking extra
time-regularity for the right-hand side, as previously introduced in the space
semi-discrete setting, w... | 2403.12954v1 |
2009-02-10 | A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants | A recurrence relation for the Li/Keiper constants in terms of the Stieltjes
constants is derived in this paper. In addition, we also report a formula for
the Stieltjes constants in terms of the higher derivatives of the Riemann zeta
function. A formula for the Stieltjes constants in terms of the (exponential)
complete ... | 0902.1691v1 |
2020-04-04 | Generalized Von Neumann-Jordan Constant for Morrey Spaces and Small Morrey Spaces | In this paper we calculate some geometric constants for Morrey spaces and
small Morrey spaces, namely generalized Von Neumann-Jordan constant, modified
Von Neumann-Jordan constants, and Zb\'{a}ganu constant. All these constants
measure the uniformly nonsquareness of the spaces. We obtain that their values
are the same ... | 2004.01895v1 |
1995-02-09 | A linear thermohaline oscillator driven by stochastic atmospheric forcing | The interdecadal variability of a stochastically forced four-box model of the
oceanic meridional thermohaline circulation (THC) is described and compared to
the THC variability in the coupled ocean-atmosphere GCM of Delworth, Manabe,
and Stouffer (1993). The box model is placed in a linearly stable thermally
dominant m... | 9502002v2 |
1993-09-30 | The metal systems in Q0000--2619 at high resolution | We have obtained high, 11 and 14 \kms, and medium, 40 and 53 \kms, resolution
spectra of the $z_{em} = 4.11$ quasar Q0000--2619 covering the range 4400 \AA\
to 9265 \AA . We identify nine metal absorption systems, of which four were
previously known. A fifth previously suggested system at $z_{abs} \approx
3.409$ (Turns... | 9309053v1 |
1994-12-27 | The z=0.8596 Damped Lyman Alpha Absorbing Galaxy Toward PKS 0454+039 | We present {\it Hubble Space Telescope} and ground--based data on the
$z_{abs}=0.8596$ metal line absorption system along the line of sight to PKS
0454+0356. The system is a moderate redshift damped Lyman alpha system, with
${\rm N(HI)}=(5.7\pm0.3)\times10^{20}$~cm$^{-2}$ as measured from the {\it
Faint Object Spectrog... | 9412093v2 |
1996-08-22 | APM z>4 QSO Survey: Distribution and Evolution of High Column Density HI Absorbers | Eleven candidate damped Lya absorption systems were identified in 27 spectra
of the quasars from the APM z>4 survey covering the redshift range
2.8<z(abs)<4.4 (8 with z(abs)>3.5). High resolution echelle spectra (0.8A FWHM)
have been obtained for three quasars, including 2 of the highest redshift
objects in the survey.... | 9608146v1 |
1997-05-16 | Testing Cosmological Models Against the Abundance of Damped Lyman-Alpha Absorbers | We calculate the number of damped Lyman-alpha absorbers expected in various
popular cosmological models as a function of redshift and compare our
predictions with observed abundances. The Press-Schechter formalism is used to
obtain the distribution of halos with circular velocity in different
cosmologies, and we calibr... | 9705118v1 |
1997-05-28 | Zinc and Chromium Abundances in a Third Damped Lyman alpha System at Intermediate Redshift | We have determined the metallicity of the $z_{abs} = 1.0093$ damped Lyman
alpha system in the bright QSO EX 0302-223; this is only the third such
measurement at redshifts $z \simlt 1$. Unlike the previous two cases, we find
that the abundance of Zn is only a factor of $\sim 2$ lower than in the
Galactic interstellar me... | 9705222v1 |
1998-11-18 | The Closest Damped Lyman Alpha System | A difficulty of studying damped Lyman alpha systems is that they are distant,
so one knows little about the interstellar medium of the galaxy. Here we report
upon a damped Lyman alpha system in the nearby galaxy NGC 4203, which is so
close (v_helio = 1117 km/s) and bright (B_o = 11.62) that its HI disk has been
mapped.... | 9811274v1 |
1999-07-29 | Ionized Gas in Damped Lyman-alpha Systems and Its Effects on Elemental Abundance Studies | Recent high-resolution observations of metal absorption lines in
high-redshift damped Ly-alpha systems have shown that Al III, a tracer of
moderately-ionized gas, very often has a velocity structure indistinguishable
from that of low-ionization gas. Regions of ionized and neutral hydrogen in
these systems are likely co... | 9907428v1 |
1999-11-09 | Detection of Warm and Cold Phases of the Neutral ISM in a Damped Ly-alpha Absorber | We present a detailed study of the HI 21cm absorption system at z=0.0912
towards the radio quasar B0738+313. The uncommonly narrow main absorption line
and weak secondary line are resolved for the first time. In addition we find it
necessary to add a third, broader shallow component to obtain a good fit to the
spectrum... | 9911142v1 |
2001-03-23 | First Investigation of the Clustering Environment of Damped Lyman Alpha Absorbers at z=4 | We report the first observations of the clustering environment of damped
Lyman alpha absorption systems at z=4. Color selection and photometric
redshifts were used to select 44 candidate Lyman-break galaxies brighter than
I_AB=25.5 from deep BRI images of the 35 sq. arcmin field containing the quasar
BR 0951-04. Multis... | 0103387v2 |
2002-11-11 | Damped Lyman alpha systems and galaxy formation models - II. High ions and Lyman limit systems | We investigate a model for the high-ionization state gas associated with
observed damped Lyman-alpha systems, based on a semi-analytic model of galaxy
formation set within the paradigm of hierarchical structure formation. In our
model, the hot gas in halos and sub-halos gives rise to CIV absorption, while
the low-ioniz... | 0211231v1 |
2003-05-16 | The Age-Metallicity Relation of the Universe in Neutral Gas: The First 100 Damped Lya Systems | We present accurate metallicity measurements for 121 damped Lya systems at
0.5<z<5 including ~50 new measurements from our recently published Echellette
Spectrograph and Imager surveys. This dataset is analysed to determine the
age-metallicity relation of neutral gas in the universe. Contrary to previous
datasets this ... | 0305314v1 |
2003-09-24 | WIMP matter power spectra and small scale power generation | Dark Matter (DM) is generally assumed to be massive, cold and collisionless
from the structure formation point of view. A more correct statement however is
that DM indeed experiences collisional damping, but on a scale which is
supposed to be too small to be relevant for structure formation. The aim of
this paper is to... | 0309652v1 |
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