Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501588 | Journal of Differential Equations | 2005 | 43 Pages |
Abstract
We study the existence, uniqueness and continuous dependence on initial data of the solution to a nonlocal Cahn-Hilliard equation on a bounded domain. The equation generates a gradient flow for a free energy functional with nonlocal interaction. Also we apply a nonlinear Poincaré inequality to show the existence of an absorbing set in each constant mass affine space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Peter W. Bates, Jianlong Han,