## Speaker:

Hiroyoshi Mitake

## Institution:

Hiroshima University

## Time:

Thursday, September 21, 2017 - 3:00pm

## Host:

## Location:

410M

In this talk, I will propose a multi-layered interface system which can be formally derived by the singular limit of the weakly coupled system of the Allen-Cahn equation. By using the level set approach, this system can be written as a quasi-monotone degenerate parabolic system. We give results of the well-posedness of viscosity solutions, and study the singularity of each layers.

This is a joint work with H. Ninomiya, K. Todoroki.