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The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation |
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| Authors: | Peter W Bates Jianlong Han |
| Institution: | Department of Mathematics, Michigan State University, USA |
| 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. |
| Keywords: | Phase transition Long range interaction Absorbing set Well-posedness Nonlocal parabolic partial differential equation Global attractor |
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