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Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions

✍ Scribed by A. Miranville; S. Zelik

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
216 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

We consider in this article the Cahn-Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray-Schauder principle, the existence and uniqueness of solutions. We then construct a robust family of exponential attractors.

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