Electron. J. Diff. Eqns., Vol. 2004(2004), No. 113, pp. 1-9

The Cauchy problem and steady state solutions for a nonlocal Cahn-Hilliard equation

Jianlong Han

Abstract:
We study the existence, uniqueness, and continuous dependence on initial data of the solution to the Cauchy problem and steady state solutions of a nonlocal Cahn-Hilliard equation on a bounded domain.

Submitted July 18, 2004. Published September 29, 2004.
Math Subject Classifications: 35A05, 35M99.
Key Words: Phase transition; long range interaction; steady state solution.

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Jianlong Han
Department of Mathematics
Michigan State University
East Lansing, MI 48824, USA
email: hanjianl@math.msu.edu

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