Attractors of semigroups associated with nonlinear systems for diffusive phase separation.

Kenmochi, Nobuyuki

Displaying similar documents to “Attractors of semigroups associated with nonlinear systems for diffusive phase separation.”

Global attractors for two-phase Stefan problems in one-dimensional space.

Aiki, T. (1997)

Abstract and Applied Analysis

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Asymptotic behavior of a sixth-order Cahn-Hilliard system

Alain Miranville (2014)

Open Mathematics

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Our aim in this paper is to study the asymptotic behavior, in terms of finite-dimensional attractors, of a sixth-order Cahn-Hilliard system. This system is based on a modification of the Ginzburg-Landau free energy proposed in [Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337–1359], assuming isotropy.

Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.

Araruna, F.D., Borges, J.E.S. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line

Ph. Laurençot (1998)

Czechoslovak Mathematical Journal

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We investigate the long-time behaviour of solutions to the Korteweg-de Vries equation with a zero order dissipation and an additional forcing term, when the space variable varies over $R$ , and prove that it is described by a maximal compact attractor in $H^{2} (R)$ .

Finite dimensional global attractor for a class of doubly nonlinear parabolic equations

Alain Miranville (2006)

Open Mathematics

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Our aim in this paper is to study the long time behavior of a class of doubly nonlinear parabolic equations. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.