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A Center Manifold Analysis for the Mullins–Sekerka Model

✍ Scribed by Joachim Escher; Gieri Simonett

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
461 KB
Volume
143
Category
Article
ISSN
0022-0396

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✦ Synopsis

The Mullins Sekerka model is a nonlocal evolution model for hypersurfaces, which arises as a singular limit for the Cahn Hilliard equation. We show that classical solutions exist globally and tend to spheres exponentially fast, provided that they are close to a sphere initially. Our analysis is based on center manifold theory and on maximal regularity.

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