We study solutions of the stationary Cahn Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the ``nondegenerate peak'' points) have the following property: There exist such solutions whose spike lies close to a given nonde
Computations on the Cahn-Hilliard model of solidification
✍ Scribed by Donald A. French
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 839 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A spectral Galerkin method in the spatial discretization is analyzed to solve the Cahn‐Hilliard 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 show that, as = Ä 0, the solution of the Cahn Hilliard equation converges to a solution of the Mullins Sekerka problem &2u=0 in each phase, where & denotes a normal, V the normal velocity and K the sum of principal curvatures of the interface, provided the solutions are radially symmetric. We u