GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]
Mathematical 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
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Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3 [PDF]
Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
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Exponential decay of correlations for nonuniformly hyperbolic flows with a C^{1+α} stable foliation, including the classical Lorenz attractor [PDF]
Annales Henri Poincare 17 (2016) 2975-3004, 2015 We prove exponential decay of correlations for a class of $C^{1+\alpha}$ uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular, this establishes exponential decay of correlations for an open set of geometric Lorenz attractors.
V. Araújo, I. Melbourne
arxiv +2 more sources
Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices [PDF]
Abstract 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
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Global and exponential attractors for the Penrose-Fife system [PDF]
arXiv, 2008 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 infinity.
Giulio Schimperna
arxiv +3 more sources
Exponential attractor for Kirchhoff model with time delay and thermal effect
Results in Applied Mathematics, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, we focus on the long-time dynamics of the Kirchhoff model with time delay and thermal effect.
Penghui Lv, Guoguang Lin
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Exponential Stability and Global Attractors for a Thermoelastic Bresse System
Advances 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
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Exponential attractors for semilinear wave equations with damping [PDF]
Banach Center Publications, 1992 Albert Milani
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The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation
JOURNAL 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 ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . 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
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