| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844608 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 28 Pages |
Abstract
We study the existence, uniqueness and continuous dependence on initial data of the solution to a nonlocal phase-field system on a bounded domain. The system is a gradient flow for a free energy functional with nonlocal interaction. Also we study the asymptotic behavior of the solution and show the existence of an absorbing set in some metric space.
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Authors
Peter W. Bates, Jianlong Han, Guangyu Zhao,