New Phase Field Method for Mean Curvature Flow with Transport Term
Host
Department of Applied Mathematics
Speaker
Keisuke Takasao
Department of Mathematics, Kyoto University
https://www.math.kyoto-u.ac.jp/en/people/profile/k.takasao
Description
We study the mean curvature flow with given non-smooth transport term, in suitable Sobolev spaces. In 2010, Liu, Sato and Tonegawa showed a global-in-time existence of the Brakke flow by using the Allen-Cahn equation. The most difficult part of the proof is the estimates of the positive part of the discrepancy measure. For the existence theorem, we will show a new proof via a modified Allen-Cahn equation which satisfies the non-positivity of the discrepancy measure.
Event Topic
Stochastic & Multiscale Modeling and Computation