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2009-05-24 | Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum | We present a topological method for the efficient computer assisted
verification of the existence of the homoclinic tangency which unfolds
generically in a one-parameter family of planar maps. The method has been
applied to the Henon map and the forced damped pendulum ODE. | 0905.3924v1 |
2009-08-15 | Antigravitation, Dark Energy, Dark Matter - Alternative Solution | Collisional damping of gravitational waves in the Newtonian matter is
investigated. The generalized theory of Landau damping is applied to the
gravitational physical systems in the context of the plasma gravitational
analogy. | 0908.2180v3 |
2009-08-31 | A comment about the existence of a weak solution for a non linear wave equation damped propagation | We give a proof for the existence of a weak solution on the initial-value
problem of a non-linear damped propagation | 0909.0052v2 |
2009-09-15 | Quantum Parrondo's games under decoherence | We study the effect of quantum noise on history dependent quantum Parrondo's
games by taking into account different noise channels. Our calculations show
that entanglement can play a crucial role in quantum Parrondo's games. It is
seen that for the maximally entangled initial state in the presence of
decoherence, the q... | 0909.2897v2 |
2009-10-01 | Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$ | We prove that the weakly damped nonlinear Schr\"odinger flow in
$L^2(\mathbb{R})$ provides a dynamical system which possesses a global
attractor. The proof relies on the continuity of the Schr\"odinger flow for the
weak topology in $L^2(\R)$. | 0910.0172v1 |
2009-12-11 | Waves, damped wave and observation | We consider the wave equation in a bounded domain (eventually convex). Two
kinds of inequality are described when occurs trapped ray. Applications to
control theory are given. First, we link such kind of estimate with the damped
wave equation and its decay rate. Next, we describe the design of an
approximate control fu... | 0912.2202v1 |
2010-01-01 | Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth | We derive a uniform exponential decay of the total energy for the nonlinear
Klein-Gordon equation with a damping around spatial infinity in the whole space
or in the exterior of a star shaped obstacle. | 1001.0209v1 |
2010-03-10 | Covariant Constitutive Relations, Landau Damping and Non-stationary Inhomogeneous Plasmas | Models of covariant linear electromagnetic constitutive relations are
formulated that have wide applicability to the computation of susceptibility
tensors for dispersive and inhomogeneous media. A perturbative framework is
used to derive a linear constitutive relation for a globally neutral plasma
enabling one to descr... | 1003.2062v1 |
2010-06-16 | Hysteresis effects in Bose-Einstein condensates | Here, we consider damped two-components Bose-Einstein condensates with
many-body interactions. We show that, when the external trapping potential has
a double-well shape and when the nonlinear coupling factors are modulated in
time, hysteresis effects may appear under some circumstances. Such hysteresis
phenomena are a... | 1006.3240v1 |
2010-09-25 | Different Network Topologies for Distributed Electric Damping of Beam Vibrations | In this work passive electric damping of structural vibrations by distributed
piezoelectric transducers and electric networks is analyzed. Different
distributed electric controllers are examined as finite degrees of freedom
systems and their performances are compared. Modal reduction is used to
optimize the electric pa... | 1009.5001v1 |
2010-12-27 | The Relativistic kinetics of gravitational waves collisional damping in hot Universe | The article is a translation of authors paper printed earlier in the
inaccessible edition and summarizing the results of research of gravitational
waves damping problem in the cosmologic plasma due to the different
interactions of elementary particles. | 1012.5582v1 |
2011-01-14 | Blowup for the Damped $L^{2}$-Critical Nonlinear Schrödinger Equation | We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear
Schr\"odinger equation. We prove existence and stability of finite time blowup
dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$. | 1101.2763v3 |
2011-02-05 | Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping | We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak
solutions of a system of PDE that model a viscoelastic fluid in the presence of
an energy damping mechanism. The system was recently introduced as a possible
method of establishing the global in time existence of weak solutions of the
well known Oldro... | 1102.1112v1 |
2011-02-21 | The One Dimensional Damped Forced Harmonic Oscillator Revisited | In this paper we give a general solution to the problem of the damped
harmonic oscillator under the influence of an arbitrary time-dependent external
force. We employ simple methods accessible for beginners and useful for
undergraduate students and professors in an introductory course of mechanics. | 1102.4112v1 |
2011-03-18 | Soliton complexity in the damped-driven nonlinear Schrödinger equation: stationary, periodic, quasiperiodic complexes | Stationary and oscillatory bound states, or complexes, of the damped-driven
solitons are numerically path-followed in the parameter space. We compile a
chart of the two-soliton attractors, complementing the one-soliton attractor
chart. | 1103.3607v1 |
2011-09-27 | Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping | The initial boundary value problem for a system of viscoelastic wave
equations of Kirchhoff type with strong damping is considered. We prove that,
under suitable assumptions on relaxation functions and certain initial data,
the decay rate of the solutions energy is exponential. | 1109.5921v1 |
2011-12-04 | On the Apparent Superluminal Motion of a Damped Gaussian Pulse | Alicki has demonstrated that a travelling Gaussian pulse subject to damping
is indistinguishable from an undamped pulse moving with greater speed; such an
effect could create the illusion of a pulse moving faster than light. In this
note, an alternative derivation of the same result is presented. However, it is
unlikel... | 1112.1324v1 |
2011-12-28 | Photon Damping in One-Loop HTL Perturbation Theory | We determine the damping rates of slow-moving photons in next-to-leading
order hard-thermal-loop perturbation of massless QED. We find both longitudinal
and transverse rates finite, positive, and equal at zero momentum. Various
divergences, light-cone and at specific momenta, but not infrared, appear and
cancel systema... | 1112.6065v2 |
2012-04-06 | Late time evolution of the gravitational wave damping in the early Universe | An analytical solution for time evolution of the gravitational wave damping
in the early Universe due to freely streaming neutrinos is found in the late
time regime. The solution is represented by a convergent series of spherical
Bessel functions of even order and was possible with the help of a new compact
formula for... | 1204.1384v2 |
2012-05-30 | Beam Dynamics Studies for the CLIC Main Linac | The implications of long-range wakefields on the beam quality are
investigated through a detailed beam dynamics study. Injection offsets are
considered and the resulting emittance dilution recorded, including systematic
sources of error. These simulations have been conducted for damped and detuned
structures (DDS) and ... | 1205.6623v2 |
2012-07-31 | Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain | In this paper we study the behaviors of the energy of solutions of the wave
equations with localized nonlinear damping in exterior domains. | 1207.7336v3 |
2012-11-02 | A modified test function method for damped waves | In this paper we use a modified test function method to derive nonexistence
results for the semilinear wave equation with time-dependent speed and damping.
The obtained critical exponent is the same exponent of some recent results on
global existence of small data solution. | 1211.0453v1 |
2012-12-15 | Damping and Pseudo-fermions | After a short abstract introduction on the time evolution driven by non
self-adjoint hamiltonians, we show how the recently introduced concept of {\em
pseudo-fermion} can be used in the description of damping in finite dimensional
quantum systems, and we compare the results deduced adopting the Schr\"odinger
and the He... | 1212.3663v1 |
2013-01-14 | On estimating the output entropy of a tensor product of the quantum phase-damping channel with an arbitrary channel | We obtained the estimation from below for the output entropy of a tensor
product of the quantum phase-damping channel with an arbitrary channel. It is
shown that from this estimation immediately follows that the strong
superadditivity of the output entropy holds for this channel as well as for the
quantum depolarizing ... | 1301.2886v1 |
2013-06-10 | Smooth attractors for the quintic wave equations with fractional damping | Dissipative wave equations with critical quintic nonlinearity and damping
term involving the fractional Laplacian are considered. The additional
regularity of energy solutions is established by constructing the new
Lyapunov-type functional and based on this, the global well-posedness and
dissipativity of the energy sol... | 1306.2294v1 |
2013-07-20 | Entanglement-assisted capacities of time-correlated amplitude-damping channel | We calculate the information capacities of a time-correlated
amplitude-damping channel, provided the sender and receiver share prior
entanglement. Our analytical results show that the noisy channel with zero
capacity can transmit information if it has finite memory. The capacities
increase as the memory increases attai... | 1307.5403v1 |
2013-07-23 | Comment on Damping Force in the Transit-time Method of Optical Stochastic Cooling | In this brief report we pointed at mistake in paper A. Zholents, Damping
Force in the Transit-Time Method of Optical Stochastic Cooling, PRLST. Mar 1,
2012. 2 pp. Published in Phys.Rev.ST Accel. Beams 15 (2012) 032801. | 1307.6185v1 |
2013-08-23 | Stability results for second-order evolution equations with switching time-delay | We consider second-order evolution equations in an abstract setting with
intermittently delayed/ not-delayed damping. We give sufficient conditions for
asymptotic and exponential stability, improving and generalising our previous
results from [19]. In particular, under suitable conditions, we can consider
unbounded dam... | 1308.5100v1 |
2013-09-10 | Convergence of global solutions for some classes of nonlinear damped wave equations | We consider the asymptotic behavior of the soltion to the wave equation with
time-dependent damping and analytic nonlinearity. Our main goal is to prove the
convergence of a global solution to an equilibrium as time goes to infinity by
means of a suitable Lojasiewicz-Simon type inequality. | 1309.2364v1 |
2013-09-13 | On diffusion phenomena for the linear wave equation with space-dependent damping | In this paper, we prove the diffusion phenomenon for the linear wave equation
with space-dependent damping. We prove that the asymptotic profile of the
solution is given by a solution of the corresponding heat equation in the
$L^2$-sense. | 1309.3377v1 |
2013-10-28 | Large deviations for a damped telegraph process | In this paper we consider a slight generalization of the damped telegraph
process in Di Crescenzo and Martinucci (2010). We prove a large deviation
principle for this process and an asymptotic result for its level crossing
probabilities (as the level goes to infinity). Finally we compare our results
with the analogous ... | 1310.7332v1 |
2013-10-29 | Blow-up for the wave equation with nonlinear source and boundary damping terms | The paper deals with blow--up for the solutions of wave equation with
nonlinear source and nonlinear boudary damping terms, posed in a bounded and
regular domain. The initial data are posed in the energy space. The aim of the
paper is to improve previous blow-up results concerning the problem. | 1310.7734v1 |
2013-11-24 | Global small solution to the 2D MHD system with a velocity damping term | This paper studies the global well-posedness of the incompressible
magnetohydrodynamic (MHD) system with a velocity damping term. We establish the
global existence and uniqueness of smooth solutions when the initial data is
close to an equilibrium state. In addition, explicit large-time decay rates for
various Sobolev ... | 1311.6185v1 |
2014-08-25 | Asymptotic behavior of global entropy solutions for nonstrictly hyperbolic systems with linear damping | In this paper we investigate the large time behavior of the global weak
entropy solutions to the symmetric Keyftiz-Kranzer system with linear damping.
It is proved that as t tends to infinite the entropy solutions tend to zero in
the L p norm | 1408.5856v1 |
2014-08-26 | Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping | In this paper we consider a stabilization problem for the abstract-wave
equation with delay. We prove an exponential stability result for appropriate
damping coefficient. The proof of the main result is based on a
frequency-domain approach. | 1408.6261v2 |
2015-02-02 | Spontaneous toroidal rotation, anomalous radial particle flux, and the electron-ion asymmetric anomalous viscous damping | AA spontaneous toroidal rotation due to the electron-ion asymmetric anomalous
viscous damping and the turbulent radial particle flux has been found, which
explains the experimental observation of the anomalous toroidal momentum source
in the edge of a tokamak plasma. | 1502.00499v3 |
2015-03-06 | Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation | - In this article, we prove some universal bounds on the speed of
concentration on small (frequency-dependent) neighborhoods of submanifolds of L
2-norms of quasi modes for Laplace operators on compact manifolds. We deduce
new results on the rate of decay of weakly damped wave equations.
R{\'e}sum{\'e}. | 1503.02058v1 |
2015-03-11 | Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$ | We consider finite energy solutions for the damped and driven two-dimensional
Navier--Stokes equations in the plane and show that the corresponding dynamical
system possesses a global attractor. We obtain upper bounds for its fractal
dimension when the forcing term belongs to the whole scale of homogeneous
Sobolev spac... | 1503.03415v1 |
2015-03-18 | Laplace Eigenfunctions And Damped Wave Equation Ii: Product Manifolds | - The purpose of this article is to study possible concentrations of
eigenfunc-tions of Laplace operators (or more generally quasi-modes) on product
manifolds. We show that the approach of the first author and Zworski [10, 11]
applies (modulo rescalling) and deduce new stabilization results for weakly
damped wave equat... | 1503.05513v1 |
2015-10-14 | The General Solution to Vlasov Equation and Linear Landau Damping | A general solution to linearized Vlasov equation for an electron
electrostatic wave in a homogeneous unmagnetized plasma is derived. The
quasi-linear diffusion coefficient resulting from this solution is a continuous
function of omega in contrast to that derived from the traditional Vlasov
treatment. The general soluti... | 1510.03949v1 |
2016-01-13 | Non uniform decay of the energy of some dissipative evolution systems | In this paper we consider second order evolution equations with bounded
damping. We give a characterization of a non uniform decay for the damped
problem using a kind of observability estimate for the associated undamped
problem. | 1601.03373v1 |
2016-01-27 | Forward self-similar solutions to the viscoelastic Navier-Stokes equation with damping | Motivated by \cite{JS}, we prove that there exists a global, forward
self-similar solution to the viscoelastic Navier-Stokes equation with damping,
that is smooth for $t>0$, for any initial data that is homogeneous of degree
$-1$. | 1601.07478v1 |
2016-03-14 | Phase speed and frequency-dependent damping of longitudinal intensity oscillations in coronal loop structures observed with AIA/SDO | Longitudinal intensity oscillations along coronal loops that are interpreted
as signatures of magneto-acoustic waves are observed frequently in different
coronal structures. The aim of this paper is to estimate the physical
parameters of the slow waves and the quantitative dependence of these
parameters on their freque... | 1603.04207v1 |
2016-04-27 | Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms | In this paper, we study the Cauchy problem for a nonlinear wave equation with
frictional and viscoelastic damping terms. Our aim is to obtain the threshold,
to classify the global existence of solution for small data or the finite time
blow-up pf the solution, with respect to the growth order of the nonlinearity. | 1604.08265v1 |
2016-05-19 | On circular flows: linear stability and damping | In this article we establish linear inviscid damping with optimal decay rates
around 2D Taylor-Couette flow and similar monotone flows in an annular domain
$B_{r_{2}}(0) \setminus B_{r_{1}}(0) \subset \mathbb{R}^{2}$. Following recent
results by Wei, Zhang and Zhao, we establish stability in weighted norms, which
allow... | 1605.05959v1 |
2016-08-04 | Resonance Damping of the THz-frequency Transverse Acoustic Phonon in the Relaxor Ferroelectric KTa1-xNbxO3 | The damping ($\Gamma_a$) of the transverse acoustic (TA) phonon in single
crystals of the relaxor $KTa_{1-x}Nb_xO_3$ with x=0.15-0.17 was studied by
means of high resolution inelastic cold neutron scattering near the (200) B.Z.
point where diffuse scattering is absent, although it is present near (110). In
a wide range... | 1608.01591v1 |
2016-08-26 | Cheillini integrability and quadratically damped oscillators | In this paper a new approach to study an equation of the Lienard type with a
strong quadratic damping is proposed based on Jacobi's last multiplier and
Cheillini's integrability condition. We obtain a closed form solution of the
transcendental characteristic equation of the Lienard type equation using the
Lambert W-fun... | 1608.07377v1 |
2016-11-27 | Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation | Existence of non-resonant solutions of time-periodic type are established for
the Kuznetsov equation with a periodic forcing term. The equation is considered
in a three-dimensional whole-space, half-space and bounded domain, and with
both non-homogeneous Dirichlet and Neumann boundary values. A method based on
Lp estim... | 1611.08883v1 |
2017-02-02 | Stationary solutions for stochastic damped Navier-Stokes equations in $\mathbb R^d$ | We consider the stochastic damped Navier-Stokes equations in $\mathbb R^d$
($d=2,3$), assuming as in our previous work [4] that the covariance of the
noise is not too regular, so It\^o calculus cannot be applied in the space of
finite energy vector fields. We prove the existence of an invariant measure
when $d=2$ and o... | 1702.00697v1 |
2017-03-08 | Moderate deviations for the Langevin equation with strong damping | In this paper, we establish a moderate deviations principle for the Langevin
dynamics with strong damping. The weak convergence approach plays an important
role in the proof. | 1703.03033v3 |
2017-03-17 | Damping in a Superconducting Mechanical Resonator | We study a mechanical resonator made of aluminum near the normal to super
conductivity phase transition. A sharp drop in the rate of mechanical damping
is observed below the critical temperature. The experimental results are
compared with predictions based on the Bardeen Cooper Schrieffer theory of
superconductivity an... | 1703.05912v1 |
2017-03-27 | On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term | We consider the $L^2$-critical nonlinear Schrodinger equation with an
inhomogeneous damping term. We prove that there exists an initial data such
that the corresponding solution is global in $H^1(R^d)$ and we give the minimal
time of the blow up for some initial data. | 1703.09101v1 |
2017-06-22 | Asymptotic profile of solutions for some wave equations with very strong structural damping | We consider the Cauchy problem in R^n for some types of damped wave
equations. We derive asymptotic profiles of solutions with weighted
L^{1,1}(R^n) initial data by employing a simple method introduced by the first
author. The obtained results will include regularity loss type estimates, which
are essentially new in th... | 1706.07174v1 |
2017-08-11 | Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field | We study the Cauchy problem for a system of equations corresponding to a
singular limit of radiative hydrodynamics, namely the 3D radiative compressible
Euler system coupled to an electromagnetic field through the MHD approximation.
Assuming the presence of damping together with suitable smallness hypotheses
for the da... | 1708.03681v1 |
2017-08-21 | A remark on the critical exponent for the semilinear damped wave equation on the half-space | In this short notice, we prove the non-existence of global solutions to the
semilinear damped wave equation on the half-space, and we determine the
critical exponent for any space dimension. | 1708.06429v1 |
2017-08-24 | Nonlinear network dynamics for interconnected micro-grids | This paper deals with transient stability in interconnected micro-grids. The
main contribution involves i) robust classification of transient dynamics for
different intervals of the micro-grid parameters (synchronization, inertia, and
damping); ii) exploration of the analogies with consensus dynamics and bounds
on the ... | 1708.07296v1 |
2017-12-04 | Radiative seesaw models linking to dark matter candidates inspired by the DAMPE excess | We propose two possibilities to explain an excess of electron/positron flux
around 1.4 TeV recently reported by Dark Matter Explore (DAMPE) in the
framework of radiative seesaw models where one of them provides a fermionic
dark matter candidate, and the other one provides a bosonic dark matter
candidate. We also show u... | 1712.00941v1 |
2018-01-06 | Multiscale analysis of semilinear damped stochastic wave equations | In this paper we proceed with the multiscale analysis of semilinear damped
stochastic wave motions. The analysis is made by combining the well-known sigma
convergence method with its stochastic counterpart, associated to some
compactness results such as the Prokhorov and Skorokhod theorems. We derive the
equivalent mod... | 1801.02036v1 |
2018-07-06 | Global existence for the 3-D semilinear damped wave equations in the scattering case | We study the global existence of solutions to semilinear damped wave
equations in the scattering case with derivative power-type nonlinearity on
(1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea
is to exploit local energy estimate, together with local existence to convert
the parameter $\m... | 1807.02403v1 |
2018-09-22 | Asymptotic behavior of solutions to 3D incompressible Navier-Stokes equations with damping | In this paper, we study the upper bound of the time decay rate of solutions
to the Navier-Stokes equations and generalized Navier-Stokes equations with
damping term $|u|^{\beta-1}u$ ($\beta>1$) in $\mathbb{R}^3$. | 1809.08394v2 |
2018-10-22 | Optimal leading term of solutions to wave equations with strong damping terms | We analyze the asymptotic behavior of solutions to wave equations with strong
damping terms. If the initial data belong to suitable weighted $L^1$ spaces,
lower bounds for the difference between the solutions and the leading terms in
the Fourier space are obtained, which implies the optimality of expanding
methods and ... | 1810.09114v1 |
2018-10-29 | Apples with Apples comparison of 3+1 conformal numerical relativity schemes | This paper contains a comprehensive comparison catalog of `Apples with
Apples' tests for the BSSNOK, CCZ4 and Z4c numerical relativity schemes, with
and without constraint damping terms for the latter two. We use basic numerical
methods and reach the same level of accuracy as existing results in the
literature. We find... | 1810.12346v1 |
2018-11-07 | Statistical complexity of the quasiperiodical damped systems | We consider the concept of statistical complexity to write the
quasiperiodical damped systems applying the snapshot attractors. This allows us
to understand the behaviour of these dynamical systems by the probability
distribution of the time series making a difference between the regular, random
and structural complexi... | 1811.02958v1 |
2018-12-13 | Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping | We consider the problem of pointwise stabilization of a one-dimensional wave
equation with an internal spatially varying anti-damping term. We design a
feedback law based on the backstepping method and prove exponential stability
of the closed-loop system with a desired decay rate. | 1812.11035v1 |
2019-01-20 | Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation | Existence of stationary point vortices solution to the damped and
stochastically driven Euler's equation on the two dimensional torus is proved,
by taking limits of solutions with finitely many vortices. A central limit
scaling is used to show in a similar manner the existence of stationary
solutions with white noise m... | 1901.06744v1 |
2019-03-13 | Solar $p$-mode damping rates: insight from a 3D hydrodynamical simulation | Space-borne missions CoRoT and Kepler have provided a rich harvest of
high-quality photometric data for solar-like pulsators. It is now possible to
measure damping rates for hundreds of main-sequence and thousands of red-giant.
However, among the seismic parameters, mode damping rates remain poorly
understood and thus ... | 1903.05479v1 |
2019-04-15 | Carleman estimate for an adjoint of a damped beam equation and an application to null controllability | In this article we consider a control problem of a linear Euler-Bernoulli
damped beam equation with potential in dimension one with periodic boundary
conditions. We derive a new Carleman estimate for an adjoint of the equation
under consideration. Then using a well known duality argument we obtain
explicitly the contro... | 1904.07038v1 |
2019-05-01 | Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions | In this paper we study the Cauchy problem for doubly dissipative elastic
waves in two space dimensions, where the damping terms consist of two different
friction or structural damping. We derive energy estimates and diffusion
phenomena with different assumptions on initial data. Particularly, we find the
dominant influ... | 1905.00257v1 |
2019-06-21 | Unique determination of the damping coefficient in the wave equation using point source and receiver data | In this article, we consider the inverse problems of determining the damping
coefficient appearing in the wave equation. We prove the unique determination
of the coefficient from the data coming from a single coincident
source-receiver pair. Since our problem is under-determined, so some extra
assumption on the coeffic... | 1906.08987v1 |
2019-07-12 | Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains | We prove Lr-estimates on periodic solutions of periodically-forced,
linearly-damped mechanical systems with polynomially-bounded potentials. The
estimates are applied to obtain a non-existence result of periodic solutions in
bounded domains, depending on an upper bound on the gradient of the potential.
The results are ... | 1907.05778v1 |
2019-09-02 | On the inclusion of damping terms in the hyperbolic MBO algorithm | The hyperbolic MBO is a threshold dynamic algorithm which approximates
interfacial motion by hyperbolic mean curvature flow. We introduce a
generalization of this algorithm for imparting damping terms onto the equation
of motion. We also construct corresponding numerical methods, and perform
numerical tests. We also us... | 1909.00552v1 |
2019-09-07 | Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution | The quantum dynamics of a damped and forced harmonic oscillator described by
a Lindblad master equation is analyzed. The master equation is converted into a
matrix-vector representation and the resulting non-Hermitian Schr\"odinger
equation is solved by Lie-algebraic techniques allowing the construction of the
general ... | 1909.03206v1 |
2019-10-17 | Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms | We prove the global existence of small data solution in all space dimension
for weakly coupled systems of semi-linear effectively damped wave, with
different time-dependent coefficients in the dissipation terms. Moreover,
nonlinearity terms $ f(t,u) $ and $ g(t,v) $ satisfying some properties of the
parabolic equation.... | 1910.07731v1 |
2019-11-01 | Convergence of a damped Newton's method for discrete Monge-Ampere functions with a prescribed asymptotic cone | We prove the convergence of a damped Newton's method for the nonlinear system
resulting from a discretization of the second boundary value problem for the
Monge-Ampere equation. The boundary condition is enforced through the use of
the notion of asymptotic cone. The differential operator is discretized based
on a parti... | 1911.00260v2 |
2019-12-17 | Comment on "On the Origin of Frictional Energy Dissipation" | In their interesting study (Ref. [1]) Hu et al have shown that for a simple
"harmonium" solid model the slip-induced motion of surface atoms is close to
critically damped. This result is in fact well known from studies of
vibrational damping of atoms and molecules at surfaces. However, for real
practical cases the situ... | 1912.07799v1 |
2020-01-23 | Nonlinear inviscid damping for a class of monotone shear flows in finite channel | We prove the nonlinear inviscid damping for a class of monotone shear flows
in $T\times [0,1]$ for initial perturbation in Gevrey-$1/s$($s>2$) class with
compact support. The main idea of the proof is to use the wave operator of a
slightly modified Rayleigh operator in a well chosen coordinate system. | 2001.08564v1 |
2020-02-26 | Bistability in the dissipative quantum systems I: Damped and driven nonlinear oscillator | We revisit quantum dynamics of the damped and driven nonlinear oscillator. In
the classical case this system has two stationary solutions (the limit cycles)
in the certain parameter region, which is the origin of the celebrated
bistability phenomenon. The quantum-classical correspondence for the oscillator
dynamics is ... | 2002.11373v1 |
2020-04-08 | Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass | We consider the linear wave equation with the time-dependent scale-invariant
damping and mass. We also treat the corresponding equation with the energy
critical nonlinearity. Our aim is to show that the solution scatters to a
modified linear wave solution and to obtain its asymptotic order. | 2004.03832v2 |
2020-04-24 | Infinite energy solutions for weakly damped quintic wave equations in $\mathbb{R}^3$ | The paper gives a comprehensive study of infinite-energy solutions and their
long-time behavior for semi-linear weakly damped wave equations in
$\mathbb{R}^3$ with quintic nonlinearities. This study includes global
well-posedness of the so-called Shatah-Struwe solutions, their dissipativity,
the existence of a locally ... | 2004.11864v1 |
2020-07-30 | Delta shock solution to the generalized one-dimensional zero-pressure gas dynamics system with linear damping | In this paper, we propose a time-dependent viscous system and by using the
vanishing viscosity method we show the existence of delta shock solution for a
particular $2 \times 2$ system of conservation laws with linear damping. | 2007.15184v2 |
2020-08-06 | On global attractors for 2D damped driven nonlinear Schrödinger equations | Well-posedness and global attractor are established for 2D damped driven
nonlinear Schr\"odinger equation with almost periodic pumping in a bounded
region. The key role is played by a novel application of the energy equation. | 2008.02741v1 |
2020-08-30 | Influence of dissipation on extreme oscillations of a forced anharmonic oscillator | Dynamics of a periodically forced anharmonic oscillator (AO) with cubic
nonlinearity, linear damping, and nonlinear damping, is studied. To begin with,
the authors examine the dynamics of an AO. Due to this symmetric nature, the
system has two neutrally stable elliptic equilibrium points in positive and
negative potent... | 2008.13172v1 |
2020-09-16 | Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback | In this paper we study a class of semilinear wave type equations with
viscoelastic damping and delay feedback with time variable coefficient. By
combining semigroup arguments, careful energy estimates and an iterative
approach we are able to prove, under suitable assumptions, a well-posedness
result and an exponential ... | 2009.07777v1 |
2020-09-18 | Vanishing viscosity limit for Riemann solutions to a $2 \times 2$ hyperbolic system with linear damping | In this paper, we propose a time-dependent viscous system and by using the
vanishing viscosity method we show the existence of %delta shock solution
solutions for the Riemann problem to a particular $2 \times 2$ system of
conservation laws with linear damping. | 2009.09041v1 |
2020-11-28 | A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping | We study the validity of a Smoluchowski-Kramers approximation for a class of
wave equations in a bounded domain of $\mathbb{R}^n$ subject to a
state-dependent damping and perturbed by a multiplicative noise. We prove that
in the small mass limit the solution converges to the solution of a stochastic
quasilinear parabol... | 2011.14236v2 |
2020-12-13 | Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping | This paper concerns the well-posedness and uniform stabilization of the
Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of
global weak solutions for this problem is established by using the Galerkin
method. Meanwhile, under a clever use of the multiplier method, we estimate the
total energy decay... | 2012.07109v3 |
2021-03-24 | On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation | This paper considers the damped periodic Korteweg-de Vries (KdV) equation in
the presence of a white-in-time and spatially smooth stochastic source term and
studies the long-time behavior of solutions. We show that the integrals of
motion for KdV can be exploited to prove regularity and ergodic properties of
invariant ... | 2103.12942v2 |
2021-04-21 | On absorbing set for 3D Maxwell--Schrödinger damped driven equations in bounded region | We consider the 3D damped driven Maxwell--Schr\"odinger equations in a
bounded region under suitable boundary conditions. We establish new a priori
estimates, which provide the existence of global finite energy weak solutions
and bounded absorbing set. The proofs rely on the Sobolev type estimates for
magnetic Schr\"od... | 2104.10723v1 |
2021-06-23 | Pitt inequality for the linear structurally damped $σ$-evolution equations | This work is devoted to improve the time decay estimates for the solution and
some of its derivatives of the linear structurally damped $\sigma$-evolution
equations. The Pitt inequality is the main tool provided that the initial data
lies in some weighted spaces. | 2106.12342v1 |
2021-07-22 | Dimension estimates for the attractor of the regularized damped Euler equations on the sphere | We prove existence of the global attractor of the damped and driven
Euler--Bardina equations on the 2D sphere and on arbitrary domains on the
sphere
and give explicit estimates of its fractal dimension in terms of the physical
parameters. | 2107.10779v1 |
2021-09-22 | State-space representation of Matérn and Damped Simple Harmonic Oscillator Gaussian processes | Gaussian processes (GPs) are used widely in the analysis of astronomical time
series. GPs with rational spectral densities have state-space representations
which allow O(n) evaluation of the likelihood. We calculate analytic state
space representations for the damped simple harmonic oscillator and the
Mat\'ern 1/2, 3/2... | 2109.10685v1 |
2021-10-10 | Global existence of solutions for semilinear damped wave equations with variable coefficients | We consider the Cauchy problem for the damped wave equations with variable
coefficients a(x) having power type nonlinearity |u|^p. We discuss the global
existence of solutions for small initial data and investigate the relation
between the range of a(x) and the order p. | 2110.04718v2 |
2021-10-21 | Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping | In this paper, we obtain some stability results of (abstract) dissipative
evolution equations with a nonautonomous and nonlinear damping using the
exponential stability of the retrograde problem with a linear and autonomous
feedback and a comparison principle. We then illustrate our abstract statements
for different co... | 2110.11122v1 |
2021-11-23 | Logistic damping effect in chemotaxis models with density-suppressed motility | This paper is concerned with a parabolic-elliptic chemotaxis model with
density-suppressed motility and general logistic source in an $n$-dimensional
smooth bounded domain with Neumann boundary conditions. Under the minimal
conditions for the density-suppressed motility function, we explore how strong
the logistic damp... | 2111.11669v1 |
2022-01-04 | Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity | In this article, we consider a viscoelastic plate equation with a logarithmic
nonlinearity in the presence of nonlinear frictional damping term. Using the
the Faedo-Galerkin method we establish the global existence of the solution of
the problem and we also prove few general decay rate results. | 2201.00983v1 |
2022-01-20 | Long Time Decay of Leray Solution of 3D-NSE With Damping | In \cite{CJ}, the authors show that the Cauchy problem of the Navier-Stokes
equations with damping $\alpha|u|^{\beta-1}u(\alpha>0,\;\beta\geq1)$ has global
weak solutions in $L^2(\R^3)$. In this paper, we prove the uniqueness, the
continuity in $L^2$ for $\beta>3$, also the large time decay is proved for
$\beta\geq\fra... | 2201.08427v1 |
2022-02-20 | On a non local non-homogeneous fractional Timoshenko system with frictional and viscoelastic damping terms | We are devoted to the study of a nonhomogeneous time-fractional Timoshenko
system with frictional and viscoelastic damping terms. We are concerned with
the well-posedness of the given problem. The approach relies on some
functional-analysis tools, operator theory, a prori estimates, and density
arguments. | 2202.09879v1 |
2022-04-05 | Large time behavior of solutions to nonlinear beam equations | In this note we analyze the large time behavior of solutions to a class of
initial/boundary problems involving a damped nonlinear beam equation. We show
that under mild conditions on the damping term of the equation of motions the
solutions of the dynamical problem converge to the solution of the stationary
problem. We... | 2204.02151v1 |
2022-05-09 | Energy asymptotics for the strongly damped Klein-Gordon equation | We consider the strongly damped Klein Gordon equation for defocusing
nonlinearity and we study the asymptotic behaviour of the energy for periodic
solutions. We prove first the exponential decay to zero for zero mean
solutions. Then, we characterize the limit of the energy, when the time tends
to infinity, for solution... | 2205.04205v1 |
2022-06-07 | Asymptotic study 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 the
nonlinear exponential damping term $a (e^{b |u|^{\bf 2}}-1)u$, ($a,b>0$)
studied by the second author in \cite{J1}. | 2206.03138v1 |
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