A level set approach for multi-layered interface systems

被引：0
|
作者：
Mitake, Hiroyoshi [1 ]
Ninomiya, Hirokazu [2 ]
Todoroki, Kenta [3 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
[2] Meiji Univ, Sch Interdisciplinary Math Sci, Nakano Ku, 4-21-1 Nakano, Tokyo 1648525, Japan
[3] Hitachi Ltd, IT Platform Prod Management Div, Minato Ku, JR Shinagawa East Bldg,2-18-1 Kounann, Tokyo 1088250, Japan
来源：
INTERFACES AND FREE BOUNDARIES | 2020年 / 22卷 / 04期
关键词：
Multi-layered interface system; level set approach; viscosity solution; VISCOSITY SOLUTIONS; EVOLUTION; MOTION;
D O I：
10.4171/IFB/444
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a multi-layered interface system is introduced, which is formally derived by a singular limit of a weakly coupled system of the Allen-Cahn type equation. By using the level set approach, this system is written as a quasi-monotone degenerate parabolic system with discontinuous functions. The well-posedness of viscosity solutions is shown, and the singularity of particular viscosity solutions is discussed.
引用
收藏
页码：383 / 400
页数：18
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