publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2018-08-19 | Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping | We consider the initial value problem for the semilinear wave equation with
time-dependent effective damping. The interest is the behavior of lifespan of
solutions in view of the asymptotic profile of the damping as $t\to \infty$.
The result of this paper is the sharp lifespan estimates of blowup solutions
for general ... | 1808.06189v2 |
2018-09-05 | Damping estimates for oscillatory integral operators with real-analytic phases and its applications | In this paper, we investigate sharp damping estimates for a class of one
dimensional oscillatory integral operators with real-analytic phases. By
establishing endpoint estimates for suitably damped oscillatory integral
operators, we are able to give a new proof of the sharp $L^p$ estimates which
have been proved by Xia... | 1809.01298v2 |
2018-09-26 | Global Attractor For Weakly Damped, Forced Mkdv Equation Below Energy Space | We prove the existence of the global attractor in $ \dot H^s$, $s > 11/12$
for the weakly damped and forced mKdV on the one dimensional torus. The
existence of global attractor below the energy space has not been known, though
the global well-posedness below the energy space is established. We directly
apply the I-meth... | 1809.09787v1 |
2018-10-03 | Damped Oscillator with delta-kicked frequency in probability representation of quantum mechanic | We obtain the tomogram of squeezed correlated states of a quantum parametric
damped oscillator in an explicit form. We study the damping within the
framework of the Caldirola--Kanai model and chose the parametric excitation in
the form of a very short pulse simulated by a delta-kick of frequency; the
squeezing phenomen... | 1810.01672v1 |
2018-10-26 | Drastic Reduction of Plasmon Damping in Two-Dimensional Electron Disks | The plasmon damping has been investigated using resonant microwave absorption
of two-dimensional electrons in disks with different diameters. We have found
an unexpected drastic reduction of the plasmon damping in the regime of strong
retardation. This finding implies large delocalization of retarded plasmon
field outs... | 1811.01040v1 |
2019-01-05 | Cauchy problem for thermoelastic plate equations with different damping mechanisms | In this paper we study Cauchy problem for thermoelastic plate equations with
friction or structural damping in $\mathbb{R}^n$, $n\geq1$, where the heat
conduction is modeled by Fourier's law. We explain some qualitative properties
of solutions influenced by different damping mechanisms. We show which damping
in the mod... | 1901.01423v2 |
2019-03-04 | Damping of cosmological tensor modes in Horndeski theories after GW170817 | This paper investigates the propagation of cosmological gravitational waves
interacting with free-streaming neutrinos within the context of Horndeski
theories of gravity constrained by the detection of GW170817. We apply the
theory of cosmological perturbations to explicitly derive the
Einstein-Boltzmann equation for t... | 1903.01502v2 |
2019-04-24 | On the Energy Decay Rate of the Fractional Wave Equation on $\mathbb{R}$ with Relatively Dense Damping | We establish upper bounds for the decay rate of the energy of the damped
fractional wave equation when the averages of the damping coefficient on all
intervals of a fixed length are bounded below. If the power of the fractional
Laplacian, $s$, is between 0 and 2, the decay is polynomial. For $s \ge 2$, the
decay is exp... | 1904.10946v3 |
2019-08-22 | Damping of the Anderson-Bogolyubov mode by spin and mass imbalance in Fermi mixtures | We study the temporally nonlocal contributions to the gradient expansion of
the pair fluctuation propagator for spin- and mass-imbalanced Fermi mixtures.
These terms are related to damping processes of sound-like
(Anderson-Bogolyubov) collective modes and are relevant for the structure of
the complex pole of the pair f... | 1908.08559v2 |
2019-11-05 | On the Smallness Condition in Linear Inviscid Damping: Monotonicity and Resonance Chains | We consider the linearized Euler equations around a smooth, bilipschitz shear
profile $U(y)$ on $\mathbb{T}_L \times \mathbb{R}$. We construct an explicit
flow which exhibits linear inviscid damping for $L$ sufficiently small, but for
which damping fails if $L$ is large. In particular, similar to the instability
result... | 1911.02066v1 |
2020-01-02 | On Echo Chains in Landau damping: Self-similar Solutions and Gevrey 3 as a Linear Stability Threshold | We show that the linearized Vlasov-Poisson equations around self-similar
non-homogeneous states near zero contain the full plasma echo mechanism,
yielding Gevrey 3 as a critical stability class. Moreover, here Landau damping
may persist despite blow-up: We construct a critical Gevrey regularity class in
which the force... | 2001.00513v1 |
2020-01-21 | Pseudospectra of the damped wave equation with unbounded damping | We analyze pseudospectra of the generator of the damped wave equation with
unbounded damping. We show that the resolvent norm diverges as $\Re z \to -
\infty$. The highly non-normal character of the operator is a robust effect
preserved even when a strong potential is added. Consequently, spectral
instabilities and oth... | 2001.07767v1 |
2020-02-09 | The damped wave equation with singular damping | We analyze the spectral properties and peculiar behavior of solutions of a
damped wave equation on a finite interval with a singular damping of the form
$\alpha/x$, $\alpha>0$. We establish the exponential stability of the semigroup
for all positive $\alpha$, and determine conditions for the spectrum to consist
of a fi... | 2002.03440v1 |
2020-03-12 | Optimal nonlinear damping control of second-order systems | Novel nonlinear damping control is proposed for the second-order systems. The
proportional output feedback is combined with the damping term which is
quadratic to the output derivative and inverse to the set-point distance. The
global stability, passivity property, and convergence time and accuracy are
demonstrated. Al... | 2003.05670v3 |
2020-06-24 | Stability of a star-shaped network with local Kelvin-Voigt damping and non-smooth coefficient at interface | In this paper, we study the stability problem of a star-shaped network of
elastic strings with a local Kelvin-Voigt damping. Under the assumption that
the damping coefficients have some singularities near the transmission point,
we prove that the semigroup corresponding to the system is polynomially stable
and the deca... | 2006.14949v1 |
2020-11-06 | A generalized finite element method for the strongly damped wave equation with rapidly varying data | We propose a generalized finite element method for the strongly damped wave
equation with highly varying coefficients. The proposed method is based on the
localized orthogonal decomposition introduced and is designed to handle
independent variations in both the damping and the wave propagation speed
respectively. The m... | 2011.03311v1 |
2020-12-28 | Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept | As the motions of nonconservative autonomous systems are typically not
periodic, the definition of nonlinear modes as periodic motions cannot be
applied in the classical sense. In this paper, it is proposed 'make the motions
periodic' by introducing an additional damping term of appropriate sign and
magnitude. It is sh... | 2101.00949v1 |
2021-04-12 | Lp-asymptotic stability of 1D damped wave equations with localized and linear damping | In this paper, we study the $L^p$-asymptotic stability of the one-dimensional
linear damped wave equation with Dirichlet boundary conditions in $[0,1]$, with
$p\in (1,\infty)$. The damping term is assumed to be linear and localized to an
arbitrary open sub-interval of $[0,1]$. We prove that the semi-group
$(S_p(t))_{t\... | 2104.05679v1 |
2021-05-13 | Sharp Polynomial Decay for Waves Damped from the Boundary in Cylindrical Waveguides | We study the decay of global energy for the wave equation with H\"older
continuous damping placed on the $C^{1,1}$-boundary of compact and non-compact
waveguides with star-shaped cross-sections. We show there is sharp
$t^{-1/2}$-decay when the damping is uniformly bounded from below on the
cylindrical wall of product c... | 2105.06566v1 |
2021-06-02 | Stabilisation of the generalised Rao-Nakra beam by partial viscous damping | In this paper, we consider the stabilization of the generalized Rao-Nakra
beam equation, which consists of four wave equations for the longitudinal
displacements and the shear angle of the top and bottom layers and one
Euler-Bernoulli beam equation for the transversal displacement. Dissipative
mechanism are provided th... | 2106.01189v1 |
2021-09-01 | Vibration damping platform for cavity quantum-electrodynamics experiments | We present a mechanical platform with enhanced vibration damping properties
for cavity quantum-electrodynamics experiments. It is based on a composite
design that combines a soft, vibration-damping core with a rigid shell
maintaining optical alignment. It passively damps the vibrations generated by
piezoelectric actuat... | 2109.00439v1 |
2021-09-05 | Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity | In this paper, we first establish a criterion based on contractive function
for the existence of polynomial attractors. This criterion only involves some
rather weak compactness associated with the repeated limit inferior and
requires no compactness, which makes it suitable for critical cases. Then by
this abstract the... | 2109.01967v2 |
2021-11-29 | Stabilization of coupled wave equations with viscous damping on cylindrical and non-regular domains: Cases without the geometric control condition | In this paper, we investigate the direct and indirect stability of locally
coupled wave equations with local viscous damping on cylindrical and
non-regular domains without any geometric control condition. If only one
equation is damped, we prove that the energy of our system decays polynomially
with the rate $t^{-\frac... | 2111.14554v1 |
2022-01-25 | Linear pair creation damping of high frequency plasma oscillation | We have studied the linear dispersion relation for Langmuir waves in plasmas
of very high density, based on the Dirac-Heisenberg-Wigner formalism. The
vacuum contribution to the physical observables leads to ultra-violet
divergences, that are removed by a charge renormalization. The remaining vacuum
contribution is sma... | 2201.10370v1 |
2022-03-13 | Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma | Recent extension of the topological ideas to continuous systems with broken
time-reversal symmetry, such as magnetized plasmas, provides new insights into
the nature of scattering-free topologically-protected surface plasma waves
(TSPWs). We demonstrate a unique characteristic of TSPWs propagating above the
electron cy... | 2203.06693v2 |
2022-04-21 | On scattering and damping of Toroidal Alfven eigenmode by drift wave turbulence | We demonstrate analytically that, in toroidal plasmas, scattering by drift
wave turbulence could lead to appreciable damping of toroidal Alfven eigenmodes
via generation of short-wavelength electron Landau damped kinetic Alfven waves.
A corresponding analytic expression of the damping rate is derived, and found
to be, ... | 2204.09876v1 |
2022-10-30 | Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models | We explore the energy decay properties related to a model in extensible beams
with the so-called energy damping. We investigate the influence of the
nonloncal damping coefficient in the stability of the model. We prove, for the
first time, that the corresponding energy functional is squeezed by
polynomial-like function... | 2210.16931v1 |
2023-02-13 | Damping of gravitational waves in f(R) gravity | We study the damping of $f(R)$ gravitational waves by matter in flat
spacetime and in expanding universe. In the former case, we find that the
Landau damping of scalar mode in $f(R)$ theory exists, while that of the tensor
mode in general relativity does not; we also present the viscosity coefficients
and dispersion re... | 2302.06402v2 |
2023-07-11 | Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping | The three-dimensional generalized tropical climate model with partial
viscosity and damping is considered in this paper. Global well-posedness of
solutions of the three-dimensional generalized tropical climate model with
partial viscosity and damping is proved for $\alpha\geq\frac{3}{2}$ and
$\beta\geq4$. Global smooth... | 2307.05145v3 |
2023-08-07 | Reconstruction of the initial data from the solutions of damped wave equations | In this paper, we consider two types of damped wave equations: the weakly
damped equation and the strongly damped equation and show that the initial
velocity from the solution on the unit sphere. This inverse problem is related
to Photoacoustic Tomography (PAT), a hybrid medical imaging technique. PAT is
based on gener... | 2308.03362v1 |
2023-09-26 | Sharp conditions for exponential and non-exponential uniform stabilization of the time dependent damped wave equation | It is classical that uniform stabilization of solutions to the damped wave
equation is equivalent to the geometric control condition The author previously
showed that, when the damping depends on time, a generalization of the
geometric control condition implies uniform stabilization at an exponential
rate. In this pape... | 2309.15005v1 |
2023-10-19 | The damped focusing cubic wave equation on a bounded domain | For the focusing cubic wave equation on a compact Riemannian manifold of
dimension $3$, the dichotomy between global existence and blow-up for solutions
starting below the energy of the ground state is known since the work of Payne
and Sattinger. In the case of a damped equation, we prove that the dichotomy
between glo... | 2310.12644v2 |
2024-04-03 | Damping Reveals Hidden Dimensions in Elastic Metastructures Through Induced Transparency | Damping typically results in attenuation of vibrations and elastic wave
propagation in mechanical systems. Contrary to this conventional understanding,
we demonstrate experimentally and explain theoretically the revival of an
elastic wave transmitted through a periodic metastructure when a weak
non-Hermitian defect (da... | 2404.02979v1 |
2000-03-16 | Non-existence of radiation damping of gravitational motions | A rigorous, non-perturbative proof that there is no radiation damping of
gravitational motions. | 0003230v1 |
2006-07-14 | Lagrangian description of the radiation damping | We present a Lagrangian formalism to the dissipative system of a charge
interacting with its own radiation field, which gives rise to the radiation
damping \cite{Heitler}, by the indirect representation doubling the phase-space
dimensions. | 0607370v1 |
1994-05-17 | Damping Rate of a Hard Photon in a Relativistic Plasma | The damping rate of a hard photon in a hot relativistic QED and QCD plasma is
calculated using the resummation technique by Braaten and Pisarski. | 9405309v1 |
1998-04-08 | Evidence for xi- and t-dependent damping of the Pomeron Flux in the proton | We show that a triple-Regge parametrization of inclusive single diffraction
agrees with the data in the following two domains: (a) xi > 0.03 at all t, (b)
|t| > 1 GeV^2 at all xi. Since the triple-Regge parametrization fails when
applied to the full xi-t range of the total single-diffractive cross section,
we conclude ... | 9804257v1 |
2001-11-27 | On the uniphase steady solutions of the nonlinear damped wave equation | We study the steady uniphase and multiphase solutions of the discretized
nonlinear damped wave equation.Conditions for the stability abd instability of
the steady solutions are given;in the instability case the linear stable and
unstable associated manifolds are described. | 0111281v1 |
2006-09-05 | Damping estimates for oscillatory integral operators with finite type singularities | We derive damping estimates and asymptotics of $L^p$ operator norms for
oscillatory integral operators with finite type singularities. The methods are
based on incorporating finite type conditions into $L^2$ almost orthogonality
technique of Cotlar-Stein. | 0609145v1 |
2002-02-19 | On "the authentic damping mechanism" of the phonon damping model. II | This article continues a discussion raised in previous publications (LANL
preprint server, nucl-th/0202006 and nucl-th/0202020). I try to convince my
opponents that general arguments are not "my case" and may be applied to their
model. | 0202058v1 |
1996-12-27 | Coherent and trajectory-coherent states of a damped harmonic oscillator | In this paper we construct the coherent and trajectory-coherent states of a
damped harmonic oscillator. We investigate the properties of this states. | 9612051v2 |
2003-05-21 | Probability representation of kinetic equation for open quantum system | The tomographic probability distribution is used to decribe the kinetic
equations for open quantum systems. Damped oscillator is studied. Purity
parameter evolution for different damping regime is considered. | 0305119v1 |
2007-08-09 | The resonant damping of fast magnetohydrodynamic oscillations in a system of two coronal slabs | Observations of transversal coronal loop oscillations very often show the
excitation and damping of oscillations in groups of coronal loops rather than
in individual and isolated structures. We present results on the oscillatory
properties (periods, damping rates, and spatial distribution of perturbations)
for resonant... | 0708.1251v1 |
2009-12-08 | Exact Invariant Solutions for Generalized Invicid Burgers' Equation with Damping | In this work we study the Lie group analysis of a generalized invicid
Burgers' equations with damping. Seven inequivalent classes of this generalized
equation were classified and many exact and transformed solutions were obtained
for each class. | 0912.1631v1 |
2011-07-28 | Creating quantum discord through local generalized amplitude damping | We show that two qubits initially in completely classical state can create
quantum discord through a local generalized amplitude damping channel, but high
temperature will impede the creating of quantum discord. | 1107.5670v1 |
2011-09-06 | Damping of Alfven waves in solar partially ionized plasmas: effect of neutral helium in multi-fluid approach | Chromospheric and prominence plasmas contain neutral atoms, which may change
the plasma dynamics through collision with ions. Most of the atoms are neutral
hydrogen, but a significant amount of neutral helium may also be present in the
plasma with a particular temperature. Damping of MHD waves due to ion collision
with... | 1109.1154v1 |
2012-03-08 | Damping rates of solar-like oscillations across the HR diagram. Theoretical calculations confronted to CoRoT and Kepler observations | Space-borne missions CoRoT and {\it Kepler} are providing a rich harvest of
high-quality constraints on solar-like pulsators. Among the seismic parameters,
mode damping rates remains poorly understood and thus barely used to infer
physical properties of stars. Nevertheless, thanks to CoRoT and {\it Kepler}
space-crafts... | 1203.1737v2 |
2012-09-14 | Semi-linear structural damped waves | We study the global existence of small data solutions for Cauchy problem for
the semi-linear structural damped wave equation with source term. | 1209.3204v2 |
2012-10-25 | Decay rates for the damped wave equation on the torus | We address the decay rates of the energy for the damped wave equation when
the damping coefficient $b$ does not satisfy the Geometric Control Condition
(GCC). First, we give a link with the controllability of the associated
Schr\"odinger equation. We prove in an abstract setting that the observability
of the Schr\"odin... | 1210.6879v1 |
2014-02-25 | Asymptotic Profiles for wave equations with strong damping | We consider the Cauchy problem in ${\bf R}^{n}$ for strongly damped wave
equations. We derive asymptotic profiles of these solutions with weighted
$L^{1,1}({\bf R}^{n})$ data by using a method introduced in [10]. | 1402.6073v1 |
2014-04-17 | Exponential stability of the wave equation with memory and time delay | We study the asymptotic behaviour of the wave equation with viscoelastic
damping in presence of a time-delayed damping. We prove exponential stability
if the amplitude of the time delay term is small enough. | 1404.4456v1 |
2014-08-30 | Marginalizing over the PageRank Damping Factor | In this note, we show how to marginalize over the damping parameter of the
PageRank equation so as to obtain a parameter-free version known as TotalRank.
Our discussion is meant as a reference and intended to provide a guided tour
towards an interesting result that has applications in information retrieval
and classifi... | 1409.0104v1 |
2014-10-29 | Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case | We consider the nonlinear Schr\"odinger equation with $L^2$-critical exponent
and an inhomogeneous damping term. By using the tools developed by Merle and
Raphael, we prove the existence of blowup phenomena in the energy space
$H^1(\mathbb{R})$. | 1410.8011v1 |
2014-11-28 | Landau damping | Landau damping is calculated using real variables, clarifying the physical
mechanism. | 1411.7793v1 |
2014-12-16 | Linear Collisionless Landau Damping in Hilbert Space | The equivalence between the Laplace transform [Landau L., J. Phys. USSR, 10
(1946), 25] and Hermite transform [Zocco and Schekochihin, Phys. Plasmas, 18,
102309 (2011)] solutions of the linear collisionless Landau damping problem is
proven. | 1412.4913v1 |
2015-07-08 | Calculation of continuum damping of Alfvén eigenmodes in 2D and 3D cases | In ideal MHD, shear Alfv\'{e}n eigenmodes may experience dissipationless
damping due to resonant interaction with the shear Alfv\'{e}n continuum. This
continuum damping can make a significant contribution to the overall
growth/decay rate of shear Alfv\'{e}n eigenmodes, with consequent implications
for fast ion transpor... | 1507.02072v1 |
2015-08-16 | Jeans instability and hydrodynamic roots of Landau damping | Landau damping of Langmuir waves is shown to have hydrodynamic roots, and, in
principle, might have been predicted (along with Langmuir waves) several
decades earlier, soon after Jeans (1902) paper appeared. | 1508.03809v1 |
2015-12-07 | Damped and zero-damped quasinormal modes of charged, nearly extremal black holes | Despite recent progress, the complete understanding of the perturbations of
charged, rotating black holes as described by the Kerr-Newman metric remains an
open and fundamental problem in relativity. In this study, we explore the
existence of families of quasinormal modes of Kerr-Newman black holes whose
decay rates li... | 1512.02247v2 |
2016-09-24 | Recovering the damping rates of cyclotron damped plasma waves from simulation data | Plasma waves with frequencies close to the particular gyrofrequencies of the
charged particles in the plasma lose energy due to cyclotron damping. We
briefly discuss the gyro-resonance of low frequency plasma waves and ions
particularly with regard to particle-in-cell (PiC) simulations. A setup is
outlined which uses a... | 1609.07646v2 |
2016-10-25 | Quadratically damped oscillators with non-linear restoring force | In this paper we qualitatively analyse quadratically damped oscillators with
non-linear restoring force. In particular, we obtain Hamiltonian structure and
analytical form of the energy functions. | 1610.07821v1 |
2016-11-24 | Longitudinal Stability Study for the FACET-II e+ Damping Ring | This is an initial study of the longitudinal, single-bunch stability in the
proposed FACET-II e+ damping ring. It is preliminary because many vacuum
chamber objects of the ring have not yet been designed. | 1611.08042v1 |
2017-08-25 | On the entropy gain under the action of amplitude damping channel on qutrit | After realising qutrit in the form of bipartite system we estimate from below
the entropy gain under the action of the amplitude damping channel. | 1708.07710v1 |
2017-10-24 | Demonstration of a switchable damping system to allow low-noise operation of high-Q low-mass suspension systems | Low mass suspension systems with high-Q pendulum stages are used to enable
quantum radiation pressure noise limited experiments. Utilising multiple
pendulum stages with vertical blade springs and materials with high quality
factors provides attenuation of seismic and thermal noise, however damping of
these high-Q pendu... | 1710.08698v2 |
2017-11-30 | Asymptotic for a second order evolution equation with vanishing damping term and Tikhonov regularization | We investigate the asymptotic behavior of solutions to a second order
differential equation with vanishing damping term, convex potential and
regularizing Tikhonov term. | 1711.11241v1 |
2018-10-04 | Damping of slow surface sausage modes in photospheric waveguides | There has been considerable interest in sausage modes in photospheric
waveguides like pores and sunspots, and slow surface sausage modes (SSSMs) have
been suggested to damp ufficiently rapidly to account for chromospheric
heating. Working in the framework of linear resistive magnetohydrodynamics, we
examine how efficie... | 1810.02051v1 |
2018-10-20 | Landau Damping in a weakly collisional regime | In this paper, we consider the nonlinear Vlasov-Poisson equations in a weakly
collisional regime and study the linear Boltzmann collision operator. We prove
that Landau damping still occurs in this case. | 1810.10955v1 |
2018-10-26 | Energy regenerative damping in variable impedance actuators for long-term robotic deployment | Energy efficiency is a crucial issue towards longterm deployment of compliant
robots in the real world. In the context of variable impedance actuators
(VIAs), one of the main focuses has been on improving energy efficiency through
reduction of energy consumption. However, the harvesting of dissipated energy
in such sys... | 1810.11246v3 |
2018-12-26 | A class large solution of the 2D MHD equations with velocity and magnetic damping | In this paper, we construct a class global large solution to the
two-dimensional MHD equations with damp terms in the nonhomogeneous Sobolev
framework. | 1812.10310v2 |
2019-02-19 | Linear inviscid damping near monotone shear flows | We give an elementary proof of sharp decay rates and the linear inviscid
damping near monotone shear flow in a periodic channel, first obtained in [14].
We shall also obtain the precise asymptotics of the solutions, measured in the
space $L^{\infty}$. | 1902.06849v1 |
2019-04-18 | Damping of Propagating Kink Waves in the Solar Corona | Alfv\'enic waves have gained renewed interest since the existence of
ubiquitous propagating kink waves were discovered in the corona. {It has long
been suggested that Alfv\'enic} waves play an important role in coronal heating
and the acceleration of the solar wind. To this effect, it is imperative to
understand the me... | 1904.08834v1 |
2019-05-19 | Finite time blow up for wave equations with strong damping in an exterior domain | We consider the initial boundary value problem in exterior domain for
strongly damped wave equations with power type nonlinearity |u|^p. We will
establish blow-up results under some conditions on the initial data and the
exponent p. | 1905.07782v1 |
2019-12-15 | A result for nonexistence of global solutions to semi-linear structural damped wave model | Main goal of this note is to give a result for nonexistence of global
solutions and determine the critical exponent as well to a semi-linear
structurally damped wave equation. | 1912.07066v1 |
2020-09-23 | Remark on the exponential decay of the solutions of the damped wave equation | A condition which guaranties the exponential decay of the solutions of the
initial-boundary value problem for the damped wave equation is proved. A method
for the effective computability of the coefficient of exponential decay is also
presented. | 2009.11244v1 |
2020-10-13 | The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability | We consider a broad class of second-order dynamical systems and study the
impact of damping as a system parameter on the stability, hyperbolicity, and
bifurcation in such systems. We prove a monotonic effect of damping on the
hyperbolicity of the equilibrium points of the corresponding first-order
system. This provides... | 2010.06662v2 |
2020-10-26 | Linear Predictive Coding for Acute Stress Prediction from Computer Mouse Movements | Prior work demonstrated the potential of using the Linear Predictive Coding
(LPC) filter to approximate muscle stiffness and damping from computer mouse
movements to predict acute stress levels of users. Theoretically, muscle
stiffness and damping in the arm can be estimated using a mass-spring-damper
(MSD) biomechanic... | 2010.13836v3 |
2020-11-01 | Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations | We prove existence of the global attractor of the damped and driven 2D
Euler--Bardina equations on the torus and give an explicit two-sided estimate
of its dimension that is sharp as $\alpha\to0^+$. | 2011.00607v1 |
2021-03-30 | Strong solution of 3D-NSE with exponential damping | In this paper we prove the existence and uniqueness of strong solution of the
incompressible Navier-Stokes equations with damping $\alpha
(e^{\beta|u|^2}-1)u$. | 2103.16707v1 |
2021-06-22 | Choice of Damping Coefficient in Langevin Dynamics | This article considers the application of Langevin dynamics to sampling and
investigates how to choose the damping parameter in Langevin dynamics for the
purpose of maximizing thoroughness of sampling. Also, it considers the
computation of measures of sampling thoroughness. | 2106.11597v1 |
2021-09-27 | Damping transition in an open generalized Aubry-André-Harper model | We study the damping dynamics of the single-particle correlation for an open
system under periodic and aperiodic order, which is dominated by the Lindblad
master equation. In the absence of the aperiodic order, the Liouvillian
superoperator exhibits the non-Hermitian skin effect, which leads to
unidirectional damping d... | 2109.12958v2 |
2022-01-20 | Long Time Decay of Leray Solution of 3D-NSE With Exponential Damping | We study the uniqueness, the continuity in $L^2$ and the large time decay for
the Leray solutions of the $3D$ incompressible Navier-Stokes equations with
nonlinear exponential damping term $a (e^{b |u|^{\bf 4}}-1)u$, ($a,b>0$). | 2201.08292v1 |
2023-03-20 | Nonlinear Damping and Field-aligned Flows of Propagating Shear Alfvén Waves with Braginskii Viscosity | Braginskii MHD provides a more accurate description of many plasma
environments than classical MHD since it actively treats the stress tensor
using a closure derived from physical principles. Stress tensor effects
nonetheless remain relatively unexplored for solar MHD phenomena, especially in
nonlinear regimes. This pa... | 2303.11128v1 |
2023-09-04 | Joint Oscillation Damping and Inertia Provision Service for Converter-Interfaced Generation | As renewable generation becomes more prevalent, traditional power systems
dominated by synchronous generators are transitioning to systems dominated by
converter-interfaced generation. These devices, with their weaker damping
capabilities and lower inertia, compromise the system's ability to withstand
disturbances, pos... | 2309.01321v1 |
2024-01-09 | Damping Separation of Finite Open Systems in Gravity-Related Experiments in the Free Molecular Flow Regime | The residual gas damping of the test mass (TM) in the free molecular flow
regime is studied in the finite open systems for high-precision gravity-related
experiments. Through strict derivation, we separate the damping coefficients
for two finite open systems, i.e., the bi-plate system and the sensor core
system, into b... | 2401.04808v1 |
2024-01-30 | The Velocity-Space Signature of Transit-Time Damping | Transit-time damping (TTD) is a process in which the magnetic mirror force --
induced by the parallel gradient of magnetic field strength -- interacts with
resonant plasma particles, leading to the collisionless damping of
electromagnetic waves and the resulting energization of those particles through
the perpendicular... | 2401.16697v1 |
2024-03-04 | How long will the quasar UV/optical flickering be damped? | The UV/optical light curves of Active Galactic Nuclei (AGNs) are commonly
described by the Damped Random Walk (DRW) model. However, the physical
interpretation of the damping timescale, a key parameter in the DRW model,
remains unclear. Particularly, recent observations indicate a weak dependence
of the damping timesca... | 2403.01691v1 |
2024-04-08 | On the Stability of swelling porous elastic soils with a single internal fractional damping | We study polynomial stability to the one-dimensional system in the linear
isothermal theory of swelling porous elastic soils with an internal fractional
damping. We establish an optimal decay result by frequency domain method | 2404.05577v1 |
2005-04-18 | Chemical Abundances in SFG and DLA | We investigate the chemical abundances of local star-forming galaxies which
cause Damped Lyman Alpha lines. A metallicity versus redshift diagram is
constructed, on which the chemical abundances of low-redshift star-forming
galaxy populations are compared with those of high-redshift Damped Lyman Alpha
systems. We disuc... | 0504389v2 |
1997-05-08 | Topological asymmetry in the damping-pairing contribution of electron-boson scattering | We make a harmonic analysis of the pairing and damping contribution of a
finite $k$ range isotropic electron-phonon (or other boson) scattering in an
anisotropic two-dimensional electronic system. We show that the pairing
contribution of the anisotropic part of the electronic system can be much
larger than its damping ... | 9705071v1 |
2000-03-29 | Damping of condensate collective modes due to equilibration with the non-condensate | We consider the damping of condensate collective modes at finite temperatures
arising from lack of equilibrium between the condensate and the non-condensate
atoms, an effect that is ignored in the usual discussion of the collisionless
region. As a first approximation, we ignore the dynamics of the thermal cloud.
Our ca... | 0003481v5 |
2007-02-01 | Adiabatic Domain Wall Motion and Landau-Lifshitz Damping | Recent theory and measurements of the velocity of current-driven domain walls
in magnetic nanowires have re-opened the unresolved question of whether
Landau-Lifshitz damping or Gilbert damping provides the more natural
description of dissipative magnetization dynamics. In this paper, we argue that
(as in the past) expe... | 0702020v3 |
2001-02-09 | Magnetic effects on the viscous boundary layer damping of the r-modes in neutron stars | This paper explores the effects that magnetic fields have on the viscous
boundary layers (VBLs) that can form in neutron stars at the crust-core
interface, and it investigates the VBL damping of the gravitational-radiation
driven r-mode instability. Approximate solutions to the magnetohydrodynamic
equations valid in th... | 0102042v1 |
2003-01-30 | Dynamic effects of electromagnetic wave on a damped two-level atom | We studied the dynamic effects of an electromagnetic(EM) wave with circular
polarization on a two-level damped atom. The results demonstrate interesting ac
Stark split of energy levels of damped atom. The split levels have different
energies and lifetimes, both of which depend on the interaction and the damping
rate of... | 0301166v1 |
2007-12-18 | Spectroscopy of electronic defect states in Cu(In, Ga)(S, Se)$_2$-based heterojunctions and Schottky diodes under damp-heat exposure | The changes of defect characteristics induced by accelerated lifetime tests
on the heterostructure n-ZnO/i-ZnO/CdS/Cu(In, Ga)(S, Se)$_2$/Mo relevant for
photovoltaic energy conversion are investigated. We subject heterojunction and
Schottky devices to extended damp heat exposure at 85$^{\circ}$C ambient
temperature and... | 0712.2982v1 |
2008-05-07 | Comparison Between Damping Coefficients of Measured Perforated Micromechanical Test Structures and Compact Models | Measured damping coefficients of six different perforated micromechanical
test structures are compared with damping coefficients given by published
compact models. The motion of the perforated plates is almost translational,
the surface shape is rectangular, and the perforation is uniform validating the
assumptions mad... | 0805.0893v1 |
2009-01-26 | Dispersion of Waves in Relativistic Plasmas with Isotropic Particle Distributions | The dispersion laws of Langmuir and transverse waves are calculated in the
relativistic non-magnetized formalism for several isotropic particle
distributions: thermal, power-law, relativistic Lorentzian $\kappa,$ and hybrid
$\beta$. For Langmuir waves the parameters of superluminal undamped, subluminal
damped principal... | 0901.4050v1 |
2009-03-28 | Torsional waves propagation in an initially stressed dissipative cylinder | The present paper has been framed to show the effect of damping on the
propagation of torsional waves in an initially stressed, dissipative,
incompressible cylinder of infinite length. A governing equation has been
formulated on Biot's incremental deformation theory. The velocities of
torsional waves are obtained as co... | 0903.4896v1 |
2009-04-09 | Evaluating the locality of intrinsic precession damping in transition metals | The Landau-Lifshitz-Gilbert damping parameter is typically assumed to be a
local quantity, independent of magnetic configuration. To test the validity of
this assumption we calculate the precession damping rate of small amplitude
non-uniform mode magnons in iron, cobalt, and nickel. At scattering rates
expected near an... | 0904.1455v1 |
2009-04-29 | Atomistic theory for the damping of vibrational modes in mono-atomic gold chains | We develop a computational method for evaluating the damping of vibrational
modes in mono-atomic metallic chains suspended between bulk crystals under
external strain. The damping is due to the coupling between the chain and
contact modes and the phonons in the bulk substrates. The geometry of the atoms
forming the con... | 0904.4627v2 |
2009-12-20 | A Kinetic Alfven wave cascade subject to collisionless damping cannot reach electron scales in the solar wind at 1 AU | (Abridged) Turbulence in the solar wind is believed to generate an energy
cascade that is supported primarily by Alfv\'en waves or Alfv\'enic
fluctuations at MHD scales and by kinetic Alfv\'en waves (KAWs) at kinetic
scales $k_\perp \rho_i\gtrsim 1$. Linear Landau damping of KAWs increases with
increasing wavenumber an... | 0912.4026v2 |
2010-07-27 | Alfvèn wave phase-mixing and damping in the ion cyclotron range of frequencies | Aims. To determine the effect of the Hall term in the generalised Ohm's law
on the damping and phase mixing of Alfven waves in the ion cyclotron range of
frequencies in uniform and non-uniform equilibrium plasmas. Methods. Wave
damping in a uniform plasma is treated analytically, whilst a Lagrangian remap
code (Lare2d)... | 1007.4752v2 |
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