Doubly nonlinear Cahn-Hilliard-Gurtin equations

A. MIRANVILLE; S ZELIK

doi:10.14492/hokmj/1248190081

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Home > Journals > Hokkaido Math. J. > Volume 38 > Issue 2 > Article

May 2009 Doubly nonlinear Cahn-Hilliard-Gurtin equations

A. MIRANVILLE, S ZELIK

Hokkaido Math. J. 38(2): 315-360 (May 2009). DOI: 10.14492/hokmj/1248190081

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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.

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A. MIRANVILLE. S ZELIK. "Doubly nonlinear Cahn-Hilliard-Gurtin equations." Hokkaido Math. J. 38 (2) 315 - 360, May 2009. https://doi.org/10.14492/hokmj/1248190081