Exponential attractors for a singularly perturbed Cahn‐Hilliard system
Copyright policy )Exponential attractors for a singularly perturbed Cahn‐Hilliard system
AbstractOur aim in this article is to give a construction of exponential attractors that are continuous under perturbations of the underlying semigroup. We note that the continuity is obtained without time shifts as it was the case in previous studies. Moreover, we obtain an explicit estimate for the symmetric distance between the perturbed and unperturbed exponential attractors in terms of the perturbation parameter. As an application, we prove the continuity of exponential attractors for a viscous Cahn‐Hilliard system to an exponential attractor for the limit Cahn‐Hilliard system. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Università degli studi di Salerno Italy
- University of Stuttgart Germany
- University of Surrey United Kingdom
a priori estimates, Asymptotic behavior of solutions to PDEs, A priori estimates in context of PDEs, continuity, viscous Cahn-Hilliard system, existence and uniqueness of solutions, Nonlinear parabolic equations, Initial-boundary value problems for higher-order parabolic equations, Exponential attractors, asymptotic behavior, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
a priori estimates, Asymptotic behavior of solutions to PDEs, A priori estimates in context of PDEs, continuity, viscous Cahn-Hilliard system, existence and uniqueness of solutions, Nonlinear parabolic equations, Initial-boundary value problems for higher-order parabolic equations, Exponential attractors, asymptotic behavior, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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