Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502681 | Journal of Mathematical Analysis and Applications | 2005 | 24 Pages |
Abstract
We study the existence, uniqueness and continuous dependence on initial data of the solution for a nonlocal Cahn-Hilliard equation with Dirichlet boundary condition on a bounded domain. Under a nondegeneracy assumption the solutions are classical but when this is relaxed, the equation is satisfied in a weak sense. Also we prove that there exists a global attractor in some metric space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Peter W. Bates, Jianlong Han,