Feedback stabilization and optimal control for the Cahn-Hilliard equation
β Scribed by Jiongmin Yong; Songmu Zheng
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 804 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0362-546X
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## Abstract A spectral Galerkin method in the spatial discretization is analyzed to solve the CahnβHilliard equation. Existence, uniqueness, and stabilities for both the exact solution and the approximate solution are given. Using the theory and technique of a priori estimate for the partial differ
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