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Approximate Solutions of the Cahn-Hilliard Equation via Corrections to the Mullins-Sekerka Motion |
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| Authors: | EA?Carlen MC?Carvalho |
| Institution: | (1) School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332, U.S.A;(2) Departamento de Matemática da, Faculdade de Ciencias de Lisboa, 1700 Lisboa codex, Portugal |
| Abstract: | We develop an alternative method to matched asymptotic expansions for the construction of approximate solutions of the Cahn-Hilliard equation suitable for the study of its sharp interface limit. The method is based on the Hilbert expansion used in kinetic theory. Besides its relative simplicity, it leads to calculable higher order corrections to the interface motion. An erratum to this article is available at . |
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