Paper Info
Title
ON OBSTACLE PROBLEM FOR BRAKKE'S MEAN CURVATURE FLOW
Abstract
We consider the obstacle problem of the weak solution to the mean curvature flow, in the sense of Brakke's mean curvature flow. We prove the global existence of the weak solution with obstacles which have C-1,C-1 boundaries in two and three space dimensions. To obtain the weak solution, we use the Allen-Cahn equation with forcing term.
Year
DOI
Venue
2021
10.1137/21M1400432
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
mean curvature flow, Allen-Cahn equation, phase-field method
Journal
53
Issue
ISSN
Citations 
6
0036-1410
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Keisuke Takasao100.34