The existence of weak solutions for a nonlocal Cahn-Hilliard equation with degenerate mobility

Zhenbang Li ()
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Zhenbang Li: Northwest University

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 511-529

Abstract: Abstract The aim of this paper is to study the existence of weak solutions for a nonlocal Cahn-Hilliard equations with degenerate mobility. Based on the uniform Schauder estimates and using the method of continuity, we obtain the existence of classical solutions for non-degenerate problems. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions.

Keywords: Nonlocal Cahn-Hilliard equation; degenerate mobility; Existence of weak solutions (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0342-7

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