publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
|---|---|---|---|
2008-12-18 | Exponential decay for solutions to semilinear damped wave equation | This paper is concerned with decay estimate of solutions to the semilinear
wave equation with strong damping in a bounded domain. Introducing an
appropriate Lyaponuv function, we prove that when the damping is linear, we can
find initial data, for which the solution decays exponentially. This result
improves an early o... | 0812.3637v3 |
2009-05-27 | Difference between penetration and damping lengths in photonic crystal mirrors | Different mirror geometries in two-dimensional photonic crystal slabs are
studied with fully-vectorial calculations. We compare their optical properties
and, in particular, we show that, for heterostructure mirrors, the penetration
length associated with the delay induced by distributed reflection is not
correlated to ... | 0905.4449v2 |
2009-06-01 | Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation | The exponential decay rate of $L^2-$norm related to the Korteweg-de Vries
equation with localized damping posed on whole real line will be established.
In addition, by using classical arguments we determine the $H^1-$norm of the
solution associated to Korteweg-de Vries equation with damping in whole domain,
can not hav... | 0906.0285v2 |
2009-07-02 | Damping and decoherence of a nanomechanical resonator due to a few two level systems | We consider a quantum model of a nanomechanical flexing beam resonator
interacting with a bath comprising a few damped tunneling two level systems
(TLS's). In contrast with a resonator interacting bilinearly with an ohmic free
oscillator bath (modeling clamping loss, for example), the mechanical resonator
damping is am... | 0907.0431v1 |
2009-07-29 | High performance single-error-correcting quantum codes for amplitude damping | We construct families of high performance quantum amplitude damping codes.
All of our codes are nonadditive and most modestly outperform the best possible
additive codes in terms of encoded dimension. One family is built from
nonlinear error-correcting codes for classical asymmetric channels, with which
we systematical... | 0907.5149v1 |
2009-10-12 | Suppression of Landau damping via electron band gap | The pondermotive potential in the X-ray Raman compression can generate an
electron band gap which suppresses the Landau damping. The regime is identified
where a Langmuir wave can be driven without damping in the stimulated Raman
compression. It is shown that the partial wave breaking and the frequency
detuning due to ... | 0910.2196v3 |
2009-10-27 | Rabi type oscillations in damped single 2D-quantum dot | We present a quantized model of harmonically confined dot atom with inherent
damping in the presence of a transverse magnetic field. The model leads to a
non hermitian Hamiltonian in real coordinate. We have analytically studied the
effects that damping has on the Rabi type oscillations of the system. The model
explain... | 0910.5184v1 |
2009-12-16 | Toward a dynamical shift condition for unequal mass black hole binary simulations | Moving puncture simulations of black hole binaries rely on a specific gauge
choice that leads to approximately stationary coordinates near each black hole.
Part of the shift condition is a damping parameter, which has to be properly
chosen for stable evolutions. However, a constant damping parameter does not
account fo... | 0912.3125v1 |
2010-03-09 | Damping of Nanomechanical Resonators | We study the transverse oscillatory modes of nanomechanical silicon nitride
strings under high tensile stress as a function of geometry and mode index m <=
9. Reproducing all observed resonance frequencies with classical elastic theory
we extract the relevant elastic constants. Based on the oscillatory local
strain we ... | 1003.1868v1 |
2010-03-24 | Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent | In this paper the long time behaviour of the solutions of 3-D strongly damped
wave equation is studied. It is shown that the semigroup generated by this
equation possesses a global attractor in H_{0}^{1}(\Omega)\times L_{2}(\Omega)
and then it is proved that this global attractor is a bounded subset of
H^{2}(\Omega)\ti... | 1003.4760v3 |
2010-04-12 | Entanglement properties of optical coherent states under amplitude damping | Through concurrence, we characterize the entanglement properties of optical
coherent-state qubits subject to an amplitude damping channel. We investigate
the distillation capabilities of known error correcting codes and obtain upper
bounds on the entanglement depending on the non-orthogonality of the coherent
states an... | 1004.1931v2 |
2010-05-20 | Nonclassical phase-space trajectories for the damped harmonic quantum oscillator | The phase-space path-integral approach to the damped harmonic oscillator is
analyzed beyond the Markovian approximation. It is found that pairs of
nonclassical trajectories contribute to the path-integral representation of the
Wigner propagating function. Due to the linearity of the problem, the sum
coordinate of a pai... | 1005.3839v1 |
2010-06-09 | Self frequency-locking of a chain of oscillators | The paper studies the vibrational modes of a slightly damped uniform chain,
with n masses coupled by elastic forces. It will be shown that, for certain
lengths of the chain, that is for certain values of n, the damping of one of
the masses at a specific position in the chain is able to constrain the
vibration of the sy... | 1006.1722v1 |
2010-08-20 | First principles quasiparticle damping rates in bulk lead | First principles calculations of the damping rates (inverse inelastic
lifetimes) of low energy quasiparticles in bulk Pb are presented. Damping rates
are obtained both for excited electrons and holes with energies up to 8 eV on a
set of k vectors throughout the Brillouin zone (BZ). Strong localization
effects in the ca... | 1008.3415v1 |
2011-03-18 | Single File Diffusion of particles with long ranged interactions: damping and finite size effects | We study the Single File Diffusion (SFD) of a cyclic chain of particles that
cannot cross each other, in a thermal bath, with long ranged interactions, and
arbitrary damping. We present simulations that exhibit new behaviors
specifically associated to systems of small number of particles and to small
damping. In order ... | 1103.3642v1 |
2011-04-21 | Spin Damping Monopole | We present theoretical evidence that a magnetic monopole emerges in dynamic
magnetic systems in the presence of the spin-orbit interaction. The monopole
field is expressed in terms of spin damping associated with magnetization
dynamics. We demonstrate that the observation of this spin damping monopole is
accomplished e... | 1104.4215v2 |
2011-08-16 | Long time dynamics for forced and weakly damped KdV on the torus | The forced and weakly damped Korteweg-de Vries (KdV) equation with periodic
boundary conditions is considered. Starting from $L^2$ and mean-zero initial
data we prove that the solution decomposes into two parts; a linear one which
decays to zero as time goes to infinity and a nonlinear one which always
belongs to a smo... | 1108.3358v1 |
2011-10-12 | Acceleration Control in Nonlinear Vibrating Systems based on Damped Least Squares | A discrete time control algorithm using the damped least squares is
introduced for acceleration and energy exchange controls in nonlinear vibrating
systems. It is shown that the damping constant of least squares and sampling
time step of the controller must be inversely related to insure that vanishing
the time step ha... | 1110.2811v2 |
2011-10-17 | Normal Mode Expansion of Damped Coupled Oscillators in 3 dimensions | In this paper, I aim to study free oscillations of a system of oscillators in
more than one dimensions in the absence of damping. The basic approach lies in
decoupling the motion in the individual perpendicular directions. Once the
equations are decoupled, the existent techniques of Normal mode expansion for
1-dimensio... | 1110.3773v1 |
2011-10-25 | Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells | For Bose-Einstein condensates in double wells, N-particle Rabi-like
oscillations often seem to be damped. Far from being a decoherence effect, the
apparent damping can indicate the emergence of quantum superpositions in the
many-particle quantum dynamics. However, in an experiment it would be difficult
to distinguish t... | 1110.5444v1 |
2011-11-23 | Wave Propagation And Landau-Type Damping In Liquids | Intermolecular forces are modeled by means of a modified Lennard-Jones
potential, introducing a distance of minimum approach, and the effect of
intermolecular interactions is accounted for with a self consistent field of
the Vlasov type. A Vlasov equation is then written and used to investigate the
propagation of pertu... | 1111.5519v3 |
2011-11-25 | Radiation Damping for Speeding-up NMR Applications | We demonstrate theoretically and numerically how to control the NMR
relaxation rate after application of the standard spin echo technique. Using
radiation damping, we return the nuclear magnetization to its equilibrium state
during a time interval that is negligible compared to the relaxation time. We
obtain an estimat... | 1111.7060v1 |
2011-12-09 | Perturbed damped pendulum: finding periodic solutions | Using the damped pendulum system we introduce the averaging method to study
the periodic solutions of a dynamical system with small perturbation. We
provide sufficient conditions for the existence of periodic solutions with
small amplitude of the non--linear perturbed damped pendulum. The averaging
theory provides a us... | 1112.2129v2 |
2011-12-28 | The role of damping for the driven anharmonic quantum oscillator | For the model of a linearly driven quantum anharmonic oscillator, the role of
damping is investigated. We compare the position of the stable points in phase
space obtained from a classical analysis to the result of a quantum mechanical
analysis. The solution of the full master equation shows that the stable points
beha... | 1112.6119v1 |
2012-01-03 | Creating and studying ion acoustic waves in ultracold neutral plasmas | We excite ion acoustic waves in ultracold neutral plasmas by imprinting
density modulations during plasma creation. Laser-induced fluorescence is used
to observe the density and velocity perturbations created by the waves. The
effect of expansion of the plasma on the evolution of the wave amplitude is
described by trea... | 1201.0786v1 |
2012-03-11 | Magnetic damping of a carbon nanotube NEMS resonator | A suspended, doubly clamped single wall carbon nanotube is characterized at
cryogenic temperatures. We observe specific switching effects in dc-current
spectroscopy of the embedded quantum dot. These have been identified previously
as nano-electromechanical self-excitation of the system, where positive
feedback from si... | 1203.2319v2 |
2012-04-02 | Random Symmetry Breaking and Freezing in Chaotic Networks | Parameter space of a driven damped oscillator in a double well potential
presents either a chaotic trajectory with sign oscillating amplitude or a
non-chaotic trajectory with a fixed sign amplitude. A network of such delay
coupled damped oscillators is shown to present chaotic dynamics while the
amplitude sign of each ... | 1204.0528v1 |
2012-04-04 | Nonlinear Damping in Graphene Resonators | Based on a continuum mechanical model for single-layer graphene we propose
and analyze a microscopic mechanism for dissipation in nanoelectromechanical
graphene resonators. We find that coupling between flexural modes and in-plane
phonons leads to linear and nonlinear damping of out-of-plane vibrations. By
tuning exter... | 1204.0911v2 |
2012-05-22 | Heavy quark damping rate in hot viscous QCD plasma | We derive an expression for the heavy quark damping rate in hot quark gluon
plasma in presence of flow. Here all the bath particles here are out of
equilibrium due to the existence of non-zero velocity gradient. The magnetic
sector shows similar infrared divergences even after hard thermal loop
corrections as one encou... | 1205.4895v3 |
2012-07-24 | Quantum capacity of an amplitude-damping channel with memory | We calculate the quantum capacity of an amplitude-damping channel with time
correlated Markov noise, for two channel uses. Our results show that memory of
the channel increases it's ability to transmit quantum information
significantly. We analyze and compare our findings with earlier numerical
results on amplitude-dam... | 1207.5612v3 |
2012-08-21 | Protecting quantum entanglement from amplitude damping | Quantum entanglement is a critical resource for quantum information and
quantum computation. However, entanglement of a quantum system is subjected to
change due to the interaction with the environment. One typical result of the
interaction is the amplitude damping that usually results in the reduction of
the entanglem... | 1208.4187v2 |
2012-10-03 | Exact solutions for discrete breathers in forced-damped chain | Exact solutions for symmetric discrete breathers (DBs) are obtained in
forced-damped linear chain with on-site vibro-impact constraints. The damping
is related to inelastic impacts; the forcing may be chosen from broad class of
periodic antisymmetric functions. Global conditions for existence and stability
of the DB ar... | 1210.1085v1 |
2012-12-18 | Using the mobile phone acceleration sensor in Physics experiments: free and damped harmonic oscillations | The mobile acceleration sensor has been used to in Physics experiments on
free and damped oscillations. Results for the period, frequency, spring
constant and damping constant match very well to measurements obtained by other
methods. The Accelerometer Monitor application for Android has been used to get
the outputs of... | 1212.4403v1 |
2012-12-20 | How long-range interactions tune the damping in compact stars | Long-range interactions lead to non-Fermi liquid effects in dense matter. We
show that, in contrast to other material properties, their effect on the bulk
viscosity of quark matter is significant since they shift its resonant maximum
and can thereby change the viscosity by many orders of magnitude. This is of
importanc... | 1212.5242v1 |
2013-02-12 | Impact of gluon damping on heavy-quark quenching | In this conference contribution, we discuss the influence of
gluon-bremsstrahlung damping in hot, absorptive QCD matter on the heavy-quark
radiation spectra. Within our Monte-Carlo implementation for the description of
the heavy-quark in-medium propagation we demonstrate that as a consequence of
gluon damping the quenc... | 1302.2934v1 |
2013-03-12 | On nonlinear Schrodinger type equations with nonlinear damping | We consider equations of nonlinear Schrodinger type augmented by nonlinear
damping terms. We show that nonlinear damping prevents finite time blow-up in
several situations, which we describe. We also prove that the presence of a
quadratic confinement in all spatial directions drives the solution of our
model to zero fo... | 1303.3033v2 |
2013-06-15 | A formula for damping interarea oscillations with generator redispatch | We derive a new formula for the sensitivity of electromechanical oscillation
damping with respect to generator redispatch. The formula could lead to some
combination of observations, computations and heuristics to more effectively
damp interarea oscillations. | 1306.3590v2 |
2013-07-24 | Eigenvalue asymptotics for the damped wave equation on metric graphs | We consider the linear damped wave equation on finite metric graphs and
analyse its spectral properties with an emphasis on the asymptotic behaviour of
eigenvalues. In the case of equilateral graphs and standard coupling conditions
we show that there is only a finite number of high-frequency abscissas, whose
location i... | 1307.6377v3 |
2013-08-03 | Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping | Presented here is a study of a viscoelastic wave equation with supercritical
source and damping terms. We employ the theory of monotone operators and
nonlinear semigroups, combined with energy methods to establish the existence
of a unique local weak solution. In addition, it is shown that the solution
depends continuo... | 1308.0720v2 |
2013-10-14 | Signatures of two-level defects in the temperature-dependent damping of nanomechanical silicon nitride resonators | The damping rates of high quality factor nanomechanical resonators are well
beyond intrinsic limits. Here, we explore the underlying microscopic loss
mechanisms by investigating the temperature-dependent damping of the
fundamental and third harmonic transverse flexural mode of a doubly clamped
silicon nitride string. I... | 1310.3671v1 |
2013-10-25 | Quenched decoherence in qubit dynamics due to strong amplitude-damping noise | We study non-perturbatively the time evolution of a qubit subject to
amplitude-damping noise. We show that at strong coupling the qubit decoherence
can be quenched owing to large environment feedbacks, such that the qubit can
evolve coherently even in the long-time limit. As an application, we show that
for a quantum c... | 1310.6843v2 |
2013-12-19 | Cyclotron dynamics of interacting bosons in artificial magnetic fields | We study theoretically quantum dynamics of interacting bosons in artificial
magnetic fields as engineered in recent ultracold atomic experiments, where
quantum cyclotron orbital motion has been observed. With exact numerical
simulations and perturbative analyses, we find that interactions induce damping
in the cyclotro... | 1312.5747v2 |
2014-01-11 | Damping in two component Bose gas | We investigate the Landau and Baliaev damping of the collective modes in a
two-component Bose gas using the mean-field approximation. We show that due to
the two body atom-atom interaction, oscillations of each component is coupled
to the thermal excitations of the other component which gives rise to creation
or destru... | 1401.2537v1 |
2014-04-25 | The time singular limit for a fourth-order damped wave equation for MEMS | We consider a free boundary problem modeling electrostatic
microelectromechanical systems. The model consists of a fourth-order damped
wave equation for the elastic plate displacement which is coupled to an
elliptic equation for the electrostatic potential. We first review some recent
results on existence and non-exist... | 1404.6342v1 |
2014-05-12 | A note on a strongly damped wave equation with fast growing nonlinearities | A strongly damped wave equation including the displacement depending
nonlinear damping term and nonlinear interaction function is considered. The
main aim of the note is to show that under the standard dissipativity
restrictions on the nonlinearities involved the initial boundary value problem
for the considered equati... | 1405.2707v1 |
2014-06-03 | Optimal Estimation of a Classical Force with a Damped Oscillator in the non-Markovian Bath | We solve the optimal quantum limit of probing a classical force exactly by a
damped oscillator initially prepared in the factorized squeezed state. The
memory effects of the thermal bath on the oscillator evolution are
investigated. We show that the optimal force sensitivity obtained by the
quantum estimation theory ap... | 1406.0658v1 |
2014-08-11 | Characterization and suppression techniques for degree of radiation damping in inversion recovery measurements | Radiation damping (RD) has been shown to affect T1 measurement in inversion
recovery experiments. In this work, we demonstrate that the extent of RD
depends upon the T1 of the sample. RD difference spectroscopy (RADDSY) is used
to characterize the severity of RD, while gradient inversion recovery (GIR) is
used for RD s... | 1408.2457v2 |
2014-09-28 | Spin-electron acoustic waves: The Landau damping and ion contribution in the spectrum | Separated spin-up and spin-down quantum kinetics is derived for more detailed
research of the spin-electron acoustic waves. Kinetic theory allows to obtain
spectrum of the spin-electron acoustic waves including effects of occupation of
quantum states more accurately than quantum hydrodynamics. We apply quantum
kinetic ... | 1409.7885v1 |
2014-10-05 | Ultimate limit of field confinement by surface plasmon polaritons | We show that electric field confinement in surface plasmon polaritons
propagating at the metal/dielectric interfaces enhances the loss due to Landau
damping and which effectively limits the degree of confinement itself. We prove
that Landau damping and associated with it surface collision damping follow
directly from L... | 1410.1226v1 |
2014-10-15 | Quasiparticle Damping of Surface Waves in Superfluid $^3$He and $^4$He | Oscillations on free surface of superfluids at the inviscid limit are damped
by quasiparticle scattering. We have studied this effect in both superfluids
$^3$He and $^4$He deep below the respective critical temperatures. Surface
oscillators offer several benefits over immersed mechanical oscillators
traditionally used ... | 1410.4071v1 |
2014-12-22 | Long time behavior for a semilinear hyperbolic equation with asymtotically vanishing damping term and convex potential | We investigate the asymptotic behavior, as t goes to infinity, for a
semilinear hyperbolic equation with asymptotically smal dissipation and convex
potential. We prove that if the damping term behaves like K/t^\alpha for t
large enough, k>0 and 0</alpha<1 then every global solution converges weakly to
an equilibrium po... | 1412.7008v1 |
2015-03-14 | Stabilization of the nonlinear damped wave equation via linear weak observability | We consider the problem of energy decay rates for nonlinearly damped abstract
infinite dimensional systems. We prove sharp, simple and quasi-optimal energy
decay rates through an indirect method, namely a weak observability estimate
for the corresponding undamped system. One of the main advantage of these
results is th... | 1503.04356v1 |
2015-06-02 | On the the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source | The aim of the paper is to study local Hadamard well-posedness for wave
equation with an hyperbolic dynamical boundary condition, internal and/or
boundary damping and sources for initial data in the natural energy space.
Moreover the regularity of solutions is studied. Finally a dynamical system is
generated when sourc... | 1506.00910v4 |
2015-06-15 | Tautochrone in the damped cycloidal pendulum | The tautochrone on a cycloid curve is usually considered without drag force.
In this work, we investigate the motion of a damped cycloidal pendulum under
presence of a drag force. Using the Lagrange formulation, and considering
linear dependence with velocity for damping force, we found the dynamics of the
system to re... | 1506.04943v2 |
2015-10-01 | Impact of surface collisions on enhancement and quenching of the luminescence near the metal nanoparticles | The fact that surface-induced damping rate of surface plasmon polaritons
(SPPs) in metal nanoparticles increases with the decrease of particle size is
well known. We show that this rate also increases with the degree of the mode
confinement, hence damping of the higher order nonradiative SPP modes in
spherical particle... | 1510.00321v1 |
2015-10-22 | On numerical Landau damping for splitting methods applied to the Vlasov-HMF model | We consider time discretizations of the Vlasov-HMF (Hamiltonian Mean-Field)
equation based on splitting methods between the linear and non-linear parts. We
consider solutions starting in a small Sobolev neighborhood of a spatially
homogeneous state satisfying a linearized stability criterion (Penrose
criterion). We pro... | 1510.06555v1 |
2015-11-02 | Asymptotic decomposition for nonlinear damped Klein-Gordon equations | In this paper, we proved that if the solution to damped focusing Klein-Gordon
equations is global forward in time, then it will decouple into a finite number
of equilibrium points with different shifts from the origin. The core
ingredient of our proof is the existence of the "concentration-compact
attractor" which yiel... | 1511.00437v3 |
2015-11-11 | Contact Stiffness and Damping of Liquid Films in Dynamic Atomic Force Microscopy | Small-amplitude dynamic atomic force microscopy (dynamic-AFM) in a simple
nonpolar liquid was studied through molecular dynamics simulations. We find
that within linear dynamics regime, the contact stiffness and damping of the
confined film exhibit the similar solvation force oscillations, and they are
generally out-of... | 1511.03580v1 |
2015-11-13 | Nonlinear Radiation Damping of Nuclear Spin Waves and Magnetoelastic Waves in Antiferromagnets | Parallel pumping of nuclear spin waves in antiferromagnetic CsMnF3 at liquid
helium temperatures and magnetoelastic waves in antiferromagnetic FeBO3 at
liquid nitrogen temperature in a helical resonator was studied. It was found
that the absorbed microwave power is approximately equal to the irradiated
power from the s... | 1511.04396v1 |
2016-03-01 | Damped vacuum states of light | We consider one-dimensional propagation of quantum light in the presence of a
block of material, with a full account of dispersion and absorption. The
electromagnetic zero-point energy for some frequencies is damped (suppressed)
by the block below the free-space value, while for other frequencies it is
increased. We al... | 1603.00233v2 |
2016-04-18 | Parameter Estimation of Gaussian-Damped Sinusoids from a Geometric Perspective | The five parameter gaussian damped sinusoid equation is a reasonable model
for betatron motion with chromatic decoherence of the proton bunch centroid
signal in the ring at the Spallation Neutron Source. A geometric method for
efficiently fitting this equation to the turn by turn signals to extract the
betatron tune an... | 1604.05167v1 |
2016-04-20 | Landau damping in finite regularity for unconfined systems with screened interactions | We prove Landau damping for the collisionless Vlasov equation with a class of
$L^1$ interaction potentials (including the physical case of screened Coulomb
interactions) on $\mathbb R^3_x \times \mathbb R^3_v$ for localized
disturbances of an infinite, homogeneous background. Unlike the confined case
$\mathbb T^3_x \ti... | 1604.05783v1 |
2016-04-26 | Trigonometric Splines for Oscillator Simulation | We investigate the effects of numerical damping for oscillator simulation
with spline methods. Numerical damping results in an artificial loss of energy
and leads therefore to unreliable results in the simulation of autonomous
systems, as e.g.\ oscillators. We show that the negative effects of numerical
damping can be ... | 1604.07607v1 |
2016-07-13 | Optimal decay rate for the wave equation on a square with constant damping on a strip | We consider the damped wave equation with Dirichlet boundary conditions on
the unit square. We assume the damping to be a characteristic function of a
strip. We prove the exact $t^{-4/3}$-decay rate for the energy of classical
solutions. This answers a question of Anantharaman and L\'eautaud (2014). | 1607.03633v2 |
2016-08-29 | Stochastic 3D Navier-Stokes equations with nonlinear damping: martingale solution, strong solution and small time large deviation principles | In this paper, by using classical Faedo-Galerkin approximation and
compactness method, the existence of martingale solutions for the stochastic 3D
Navier-Stokes equations with nonlinear damping is obtained. The existence and
uniqueness of strong solution are proved for $\beta > 3$ with any $\alpha>0$
and $\alpha \geq \... | 1608.07996v1 |
2016-09-05 | Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity | We study blow-up behavior of solutions for the Cauchy problem of the
semilinear wave equation with time-dependent damping. When the damping is
effective, and the nonlinearity is subcritical, we show the blow-up rates and
the sharp lifespan estimates of solutions. Upper estimates are proved by an ODE
argument, and lower... | 1609.01035v2 |
2016-09-06 | Numerical Convergence Rate for a Diffusive Limit of Hyperbolic Systems: p-System with Damping | This paper deals with diffusive limit of the p-system with damping and its
approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided
the system is endowed with an entropy-entropy flux pair, we give the
convergence rate of classical solutions of the p-system with damping towards
the smooth solutions ... | 1609.01436v1 |
2016-09-20 | Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping | We study the isentropic Euler equations with time-dependent damping, given by
$\frac{\mu}{(1+t)^\lambda}\rho u$. Here, $\lambda,\mu$ are two non-negative
constants to describe the decay rate of damping with respect to time. We will
investigate the global existence and asymptotic behavior of small data
solutions to the ... | 1609.06286v1 |
2016-11-08 | Emulated Inertia and Damping of Converter-Interfaced Power Source | Converter-interfaced power sources (CIPSs), like wind turbine and energy
storage, can be switched to the inertia emulation mode when the detected
frequency deviation exceeds a pre-designed threshold, i.e. dead band, to
support the frequency response of a power grid. This letter proposes an
approach to derive the emulat... | 1611.02698v1 |
2016-12-09 | Ornstein-Uhlenbeck Process with Fluctuating Damping | This paper studies Langevin equation with random damping due to
multiplicative noise and its solution. Two types of multiplicative noise,
namely the dichotomous noise and fractional Gaussian noise are considered.
Their solutions are obtained explicitly, with the expressions of the mean and
covariance determined explici... | 1612.03013v3 |
2016-12-20 | Symmetry group classification and optimal reduction of a class of damped Timoshenko beam system with a nonlinear rotational moment | We consider a nonlinear Timoshenko system of partial differential equations
(PDEs) with a frictional damping term in rotation angle. The nonlinearity is
due to the arbitrary dependence on the rotation moment. A Lie symmetry group
classification of the arbitrary function of rotation moment is presented. An
optimal syste... | 1612.06775v1 |
2017-03-14 | Landau damping in the multiscale Vlasov theory | Vlasov kinetic theory is extended by adopting an extra one particle
distribution function as an additional state variable characterizing the
micro-turbulence internal structure. The extended Vlasov equation keeps the
reversibility, the Hamiltonian structure, and the entropy conservation of the
original Vlasov equation.... | 1703.04577v2 |
2017-03-15 | Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation | We prove local and global energy decay for the asymptotically periodic damped
wave equation on the Euclidean space. Since the behavior of high frequencies is
already mostly understood, this paper is mainly about the contribution of low
frequencies. We show in particular that the damped wave behaves like a solution
of a... | 1703.05112v1 |
2017-04-03 | Linear inviscid damping and vorticity depletion for shear flows | In this paper, we prove the linear damping for the 2-D Euler equations around
a class of shear flows under the assumption that the linearized operator has no
embedding eigenvalues. For the symmetric flows, we obtain the explicit decay
estimates of the velocity, which is the same as one for monotone shear flows.
We conf... | 1704.00428v1 |
2017-04-25 | Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity | In this paper, we study the asymptotic behavior of solutions to the wave
equation with damping depending on the space variable and growing at the
spatial infinity. We prove that the solution is approximated by that of the
corresponding heat equation as time tends to infinity. The proof is based on
semigroup estimates f... | 1704.07650v1 |
2017-06-05 | Mixed finite elements for global tide models with nonlinear damping | We study mixed finite element methods for the rotating shallow water
equations with linearized momentum terms but nonlinear drag. By means of an
equivalent second-order formulation, we prove long-time stability of the system
without energy accumulation. We also give rates of damping in unforced systems
and various cont... | 1706.01352v1 |
2017-07-11 | Stability of partially locked states in the Kuramoto model through Landau damping with Sobolev regularity | The Kuramoto model is a mean-field model for the synchronisation behaviour of
oscillators, which exhibits Landau damping. In a recent work, the nonlinear
stability of a class of spatially inhomogeneous stationary states was shown
under the assumption of analytic regularity. This paper proves the nonlinear
Landau dampin... | 1707.03475v2 |
2017-08-27 | Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case | We study global existence of solutions to the Cauchy problem for the wave
equation with time-dependent damping and a power nonlinearity in the
overdamping case. We prove the global well-posedness for small data in the
energy space for the whole energy-subcritical case. This result implies that
small data blow-up does n... | 1708.08044v2 |
2017-09-04 | A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent | We concern the blow up problem to the scale invariant damping wave equations
with sub-Strauss exponent. This problem has been studied by Lai, Takamura and
Wakasa (\cite{Lai17}) and Ikeda and Sobajima \cite{Ikedapre} recently. In
present paper, we extend the blowup exponent from $p_F(n)\leq p<p_S(n+2\mu)$ to
$1<p<p_S(n+... | 1709.00866v2 |
2017-09-24 | Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations | We study the unphysical recurrence phenomenon arising in the numerical
simulation of the transport equations using Hermite-spectral method. From a
mathematical point of view, the suppression of this numerical artifact with
filters is theoretically analyzed for two types of transport equations. It is
rigorously proven t... | 1709.08194v1 |
2017-11-01 | Life-Span of Semilinear Wave Equations with Scale-invariant Damping: Critical Strauss Exponent Case | The blow up problem of the semilinear scale-invariant damping wave equation
with critical Strauss type exponent is investigated. The life span is shown to
be: $T(\varepsilon)\leq C\exp(\varepsilon^{-2p(p-1)})$ when $p=p_S(n+\mu)$ for
$0<\mu<\frac{n^2+n+2}{n+2}$. This result completes our previous study
\cite{Tu-Lin} on... | 1711.00223v1 |
2017-11-14 | Spin-Noise and Damping in Individual Metallic Ferromagnetic Nanoparticles | We introduce a highly sensitive and relatively simple technique to observe
magnetization motion in single Ni nanoparticles, based on charge sensing by
electron tunneling at millikelvin temperature. Sequential electron tunneling
via the nanoparticle drives nonequilibrium magnetization dynamics, which
induces an effectiv... | 1711.05142v1 |
2017-12-04 | Graviton-mediated dark matter model explanation the DAMPE electron excess and search at $e^+e^-$ colliders | The very recent result of the DAMPE cosmic ray spectrum of electrons shows a
narrow bump above the background at around 1.4 TeV. We attempt to explain the
DAMPE electron excess in a simplified Kaluza-Klein graviton-mediated dark
matter model, in which the graviton only interacts with leptons and dark
matter. The relate... | 1712.01143v1 |
2017-12-13 | On nonlinear damped wave equations for positive operators. I. Discrete spectrum | In this paper we study a Cauchy problem for the nonlinear damped wave
equations for a general positive operator with discrete spectrum. We derive the
exponential in time decay of solutions to the linear problem with decay rate
depending on the interplay between the bottom of the operator's spectrum and
the mass term. C... | 1712.05009v1 |
2018-03-14 | Damped Newton's Method on Riemannian Manifolds | A damped Newton's method to find a singularity of a vector field in
Riemannian setting is presented with global convergence study. It is ensured
that the sequence generated by the proposed method reduces to a sequence
generated by the Riemannian version of the classical Newton's method after a
finite number of iteratio... | 1803.05126v2 |
2018-05-29 | Asymptotic profile of solutions for strongly damped Klein-Gordon equations | We consider the Cauchy problem in the whole space for strongly damped
Klein-Gordon equations. We derive asymptotic profles of solutions with weighted
initial data by a simple method introduced by R. Ikehata. The obtained results
show that the wave effect will be weak because of the mass term, especially in
the low dime... | 1805.11975v1 |
2018-06-18 | Damped second order flow applied to image denoising | In this paper, we introduce a new image denoising model: the damped flow
(DF), which is a second order nonlinear evolution equation associated with a
class of energy functionals of image. The existence, uniqueness and
regularization property of DF are proven. For the numerical implementation,
based on the St\"{o}rmer-V... | 1806.06732v2 |
2018-07-10 | Cyclotron Damping along an Uniform Magnetic Field | We prove cyclotron damping for the collisionless Vlasov-Maxwell equations on
$\mathbb{T}_{x}^{3}\times\mathbb{R}_{v}^{3}$ under the assumptions that the
electric induction is zero and $(\mathcal{\mathbf{PSC}})$ holds. It is a
crucial step to solve the stability problem of the Vlasov-Maxwell equations.
Our proof is base... | 1807.05254v3 |
2018-08-22 | Radiation Damping of a Yang-Mills Particle Revisited | The problem of a color-charged point particle interacting with a four
dimensional Yang-Mills gauge theory is revisited. The radiation damping is
obtained inspired in the Dirac's computation. The difficulties in the
non-abelian case were solved by using an ansatz for the Li\'enard-Wiechert
potentials, already used in th... | 1808.07533v2 |
2018-08-28 | Enhancement of zonal flow damping due to resonant magnetic perturbations in the background of an equilibrium $E \times B$ sheared flow | Using a parametric interaction formalism, we show that the equilibrium
sheared rotation can enhance the zonal flow damping effect found in Ref. [M.
Leconte and P.H. Diamond, \emph{Phys. Plasmas} 19, 055903 (2012)]. This
additional damping contribution is proportional to $(L_s/L_V)^2 \times \delta
B_r^2 / B^2$, where $L... | 1808.09110v1 |
2018-08-30 | Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities | In this paper, by means of the Riesz basis approach, we study the stability
of a weakly damped system of two second order evolution equations coupled
through the velocities. If the fractional order damping becomes viscous and the
waves propagate with equal speeds, we prove exponential stability of the system
and, other... | 1808.10256v1 |
2018-09-10 | Linear inviscid damping for the $β$-plane equation | In this paper, we study the linear inviscid damping for the linearized
$\beta$-plane equation around shear flows. We develop a new method to give the
explicit decay rate of the velocity for a class of monotone shear flows. This
method is based on the space-time estimate and the vector field method in sprit
of the wave ... | 1809.03065v1 |
2018-10-23 | Perfect absorption of water waves by linear or nonlinear critical coupling | We report on experiments of perfect absorption for surface gravity waves
impinging a wall structured by a subwavelength resonator. By tuning the
geometry of the resonator, a balance is achieved between the radiation damping
and the intrinsic viscous damping, resulting in perfect absorption by critical
coupling. Besides... | 1810.09884v1 |
2018-12-16 | Damping of sound waves by bulk viscosity in reacting gases | The very long standing problem of sound waves propagation in fluids is
reexamined. In particular, from the analysis of the wave damping in reacting
gases following the work of Einsten \citep{Ein}, it is found that the damping
due to the chemical reactions occurs nonetheless the second (bulk) viscosity
introduced by Lan... | 1812.06478v1 |
2019-02-27 | Forward Discretely Self-Similar Solutions of the MHD Equations and the Viscoelastic Navier-Stokes Equations with Damping | In this paper, we prove the existence of forward discretely self-similar
solutions to the MHD equations and the viscoelastic Navier-Stokes equations
with damping with large weak $L^3$ initial data. The same proving techniques
are also applied to construct self-similar solutions to the MHD equations and
the viscoelastic... | 1902.10771v3 |
2019-03-11 | The effect of magnetic twist on resonant absorption of slow sausage waves in magnetic flux tubes | Observations show that twisted magnetic flux tubes are present throughout the
sun's atmosphere. The main aim of this work is to obtain the damping rate of
sausage modes in the presence of magnetic twist. Using the connection formulae
obtained by Sakurai et al. (1991), we investigate resonant absorption of the
sausage m... | 1903.04171v1 |
2019-03-14 | Endpoint Strichartz estimate for the damped wave equation and its application | Recently, the Strichartz estimates for the damped wave equation was obtained
by the first author except for the wave endpoint case. In the present paper, we
give the Strichartz estimate in the wave endpoint case. We slightly modify the
argument of Keel--Tao. Moreover, we apply the endpoint Strichartz estimate to
the un... | 1903.05891v2 |
2019-04-02 | Linear inviscid damping in Gevrey spaces | We prove linear inviscid damping near a general class of monotone shear flows
in a finite channel, in Gevrey spaces. It is an essential step towards proving
nonlinear inviscid damping for general shear flows that are not close to the
Couette flow, which is a major open problem in 2d Euler equations. | 1904.01188v2 |
2019-04-16 | Damping modes of harmonic oscillator in open quantum systems | Through a set of generators that preserves the hermiticity and trace of
density matrices, we analyze the damping of harmonic oscillator in open quantum
systems into four modes, distinguished by their specific effects on the
covariance matrix of position and momentum of the oscillator. The damping modes
could either cau... | 1904.07452v2 |
2019-05-20 | Stabilization of two strongly coupled hyperbolic equations in exterior domains | In this paper we study the behavior of the total energy and the $L^2$-norm of
solutions of two coupled hyperbolic equations by velocities in exterior
domains. Only one of the two equations is directly damped by a localized
damping term. We show that, when the damping set contains the coupling one and
the coupling term ... | 1905.08370v1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.