Hokkaido Mathematical Journal

MIRANVILLE A., ZELIK S,

Doubly nonlinear Cahn-Hilliard-Gurtin equations.

Hokkaido Mathematical Journal, 38 (2009) pp.315-360

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Abstract

Our aim in this article is to study the long time behavior, in terms of finite-dimensional attractors, of doubly nonlinear Cahn-Hilliard type equations. In particular, we prove the existence of an exponential attractor. We also study the continuity of exponential attractors when the equations converge to the usual Cahn-Hilliard equation.

MSC(Primary)35B41
MSC(Secondary)35B45, 35K65
Uncontrolled KeywordsDoubly nonlinear Cahn-Hilliard-Gurtin equations, dissipativity, global attractor, exponential attractor.