| 講演要旨 |
The Allen-Cahn equation is closely related to the area functional on hypersurfaces and
provides a means to investigate both its critical points (minimal hypersurfaces) and gradient flow (mean curvature flow).
I will discuss various properties of the gradient flow of the Allen-Cahn equation with a fixed boundary contact angle condition,
which is used to gain insight into an appropriate formulation for mean curvature flow with fixed boundary contact angle.
This is based on joint work with M. Takada, Y. Tonegawa, and M. Workman.
|