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- Title
INERTIAL MANIFOLDS FOR THE 3D CAHN-HILLIARD EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS.
- Authors
KOSTIANKO, ANNA; ZELIK, SERGEY
- Abstract
The existence of an inertial manifold for the 3D Cahn-Hilliard equation with periodic boundary conditions is verified using a proper extension of the so-called spatial averaging principle introduced by G. Sell and J. Mallet-Paret. Moreover, the extra regularity of this manifold is also obtained.
- Subjects
MANIFOLDS (Mathematics); NUMERICAL solutions to boundary value problems; CAHN-Hilliard-Cook equation; MATHEMATICAL regularization; AVERAGING method (Differential equations)
- Publication
Communications on Pure & Applied Analysis, 2015, Vol 14, Issue 5, p3069
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2015.14.2069