Details
| Original language | English |
|---|---|
| Pages (from-to) | 267-292 |
| Number of pages | 26 |
| Journal | Journal of Differential Equations |
| Volume | 143 |
| Issue number | 2 |
| Publication status | Published - 1 Mar 1998 |
| Externally published | Yes |
Abstract
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.
Keywords
- Mullins-Sekerka model; mean curvature; free boundary problem; generalized motion by mean curvature; center manifold
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of Differential Equations, Vol. 143, No. 2, 01.03.1998, p. 267-292.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A Center Manifold Analysis for the Mullins-Sekerka Model
AU - Escher, Joachim
AU - Simonett, Gieri
PY - 1998/3/1
Y1 - 1998/3/1
N2 - 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.
AB - 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.
KW - Mullins-Sekerka model; mean curvature; free boundary problem; generalized motion by mean curvature; center manifold
UR - http://www.scopus.com/inward/record.url?scp=0001025274&partnerID=8YFLogxK
U2 - 10.1006/jdeq.1997.3373
DO - 10.1006/jdeq.1997.3373
M3 - Article
AN - SCOPUS:0001025274
VL - 143
SP - 267
EP - 292
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 2
ER -