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

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

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 establishin...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2019-06, Vol.50 (2), p.511-529
1. Verfasser: Li, Zhenbang
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
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Zusammenfassung: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-019-0342-7