Results 1 to 10 of about 20,660 (272)
The Exponential Attractors for the g-Navier-Stokes Equations [PDF]
Journal of Function Spaces and Applications, 2012 We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor in L2(Ω).
Delin Wu, Jicheng Tao
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Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations [PDF]
Journal of Mathematics, 2020 In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent ...
Cuncai Liu, Fengjuan Meng, Chang Zhang
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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
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Exponential attractors for a nonclassical diffusion equation
Electronic Journal of Differential Equations, 2009 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, Yong-Feng Liu
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Chevron Pattern Equations: Exponential Attractor and Global Stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
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Quasi-stability and continuity of attractors for nonlinear system of wave equations
Nonautonomous Dynamical Systems, 2021 In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M. +4 more
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Existence of exponential attractors for the coupled system of suspension bridge equations
Boundary Value Problems, 2023 In this paper, we investigate the asymptotic behavior of the coupled system of suspension bridge equations. Under suitable assumptions, we obtain the existence of exponential attractors by using the decomposing technique of operator semigroup.
Jun-dong Jin
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Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations
Discrete Dynamics in Nature and Society, 2020 In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup.
Gang Wang, Chaozhu Hu
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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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Pullback exponential attractors
Discrete & Continuous Dynamical Systems - A, 2010 In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
José A. Langa +2 more
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