Results 11 to 20 of about 27,544 (311)
Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation
Discrete 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
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A panoramic view of exponential attractors [PDF]
We state necessary and sufficient conditions for the existence of $T$-discrete exponential attractors for semigroups in complete metric spaces. These conditions are formulated in terms of a covering condition for iterates of the absorbing set under the time evolution of the semigroup and imply the existence and finite-dimensionality of the global ...
Radosław Czaja, Stefanie Sonner
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A New Chaotic Attractor with Quadratic Exponential Nonlinear Term from Chen’s Attractor
International Journal of Analysis and Applications, 2014 In this paper a new three-dimensional chaotic system is proposed, which relies on a nonlinear exponential term and a nonlinear quadratic cross term necessary for folding trajectories.
Iftikhar Ahmed, Chunlai Mu, Fuchen Zhang
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Exponential attractors for a nonclassical diffusion equation
Electronic Journal of Differential Equations, 2009 Summary: In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in \({H^{2}(\Omega)}\cap{H}^{1}_{0}(\Omega)\) when the space dimension is less than 4.
Qiaozhen Ma, Yongfeng Liu
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Electronic 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
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A necessary and sufficient condition for the existence of an exponential attractor
Open Mathematics, 2003 Pražák Dalibor
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AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
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Exponential attractors for random dynamical systems and applications [PDF]
, 2012 The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and then ...
Shirikyan, Armen, Zelik, Sergey
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EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS
Journal of Applied Analysis & Computation, 2020 The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper.
Phan, Chi, You, Yuncheng
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Mathematical Biosciences and Engineering, 2020 In this paper we introduce a method of global exponential attractor in the reaction-diffusion epidemic model in spatial heterogeneous environment to study the spread trend and long-term dynamic behavior of the COVID-19 epidemic.
Cheng-Cheng Zhu, Jiang Zhu
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