Results 21 to 30 of about 1,323,147 (330)

GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]

open access: greenMathematical Models and Methods in Applied Sciences, 2009
The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
Giulio Schimperna
openalex   +5 more sources

Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices [PDF]

open access: goldAbstract and Applied Analysis, 2013
This paper proves the existence of the pullback exponential attractor for the process associated to the nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices.
Chunqiu Li, Min Zhao, Caidi Zhao
doaj   +2 more sources

Random exponential attractor for a class of non-autonomous stochastic lattice systems

open access: goldElectronic Research Archive
The purpose of this paper was to discuss the existence of a random exponential attractor for non-autonomous coupled Klein-Gordon-Schrödinger (KGS) lattice equations with multiplicative noise. We employed the method of estimation on the tails of solutions
Ailing Ban
doaj   +2 more sources

Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation

open access: yesDiscrete Dynamics in Nature and Society, 2013
We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system.
Min Zhao, Shengfan Zhou
doaj   +2 more sources

Exponential Stability and Global Attractors for a Thermoelastic Bresse System

open access: goldAdvances in Difference Equations, 2010
We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern. The two wave equations about the longitudinal displacement and shear angle displacement are effectively damped by
Zhiyong Ma
openalex   +5 more sources

Attractors for damped semilinear wave equations with singularly perturbed acoustic boundary conditions

open access: yesElectronic Journal of Differential Equations, 2018
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acoustic ...
Joseph L. Shomberg
doaj   +2 more sources

The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation

open access: goldJOURNAL OF ADVANCES IN MATHEMATICS, 2016
This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x          . Study the attractor problem with initial boundary value conditions, then using priori estimate and the Galerkin method prove existence and uniqueness of solution, we ...
Huixian Zhu, Chengfei Ai, Guoguang Lin
openalex   +4 more sources

Home - About - Disclaimer - Privacy