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The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions

โœ Scribed by Miranville, Alain; Zelik, Sergey


Book ID
127389654
Publisher
American Institute of Mathematical Sciences
Year
2010
Tongue
English
Weight
434 KB
Volume
28
Category
Article
ISSN
1078-0947

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Exponential attractors for the Cahnโ€“Hill
โœ A. Miranville; S. Zelik ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 216 KB

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 sol