Results 11 to 20 of about 1,859,718 (319)
Robust exponential attractors for singularly perturbed phase-field type equations [PDF]
Electronic Journal of Differential Equations, 2002 In this article, we construct robust (i.e. lower and upper semicontinuous) exponential attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates for the symmetric distance between these exponential attractors and that ...
Alain Miranville, Sergey Zelik
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Pullback Exponential Attractors for Parabolic Equations with Dynamical Boundary Conditions [PDF]
Taiwanese Journal of Mathematics, 2017 The existence of pullback exponential attractors for a nonautonomous semilinear parabolic equation with dynamical boundary condition is proved when the timedependent forcing terms are translation bounded or even grow exponentially in the past and in the ...
Pedro Marín-Rubio, Radoslaw Czaja
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Robust family of exponential attractors for isotropic crystal models
, 2016 Our aim in this paper is to study, in term of finite dimensional exponential attractors, the Willmore regularization, (depending on a small regularization parameter β > 0), of two phase‐field equations, namely, the Allen–Cahn and the Cahn–Hilliard ...
L. Cherfils, S. Gatti
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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 ∞.
SCHIMPERNA, GIULIO FERNANDO
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Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications [PDF]
, 2013 This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its implications in the ...
A. Carvalho, S. Sonner
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation [PDF]
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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Discrete & Continuous Dynamical Systems - S, 2022 We mainly consider the existence of random uniform exponential attractors for Schrödinger lattice systems with quasi-periodic forces and multiplicative white noise.
Sijia Zhang, Sheng-Fan Zhou
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Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay
Communications on Pure & Applied Analysis, 2022 In this paper, we study the long term dynamical behavior of a two-dimensional nonlocal diffusion lattice system with delay. First some sufficient conditions for the construction of an exponential attractor are presented for infinite dimensional ...
Lin Yang, Ye-Juan Wang, P. Kloeden
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Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
, 2014 In this paper, we study the existence of exponential attractors for strongly damped wave equations with a time-dependent driving force. To this end, the uniform H?lder continuity is established to the variation of the process in the phase apace.
Hong-Yan Li
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