Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501667 | Journal of Differential Equations | 2005 | 30 Pages |
Abstract
This paper is concerned with existence and stability of traveling curved fronts for the Allen-Cahn equation in the two-dimensional space. By using the supersolution and the subsolution, we construct a traveling curved front, and show that it is the unique traveling wave solution between them. Our supersolution can be taken arbitrarily large, which implies some global asymptotic stability for the traveling curved front.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hirokazu Ninomiya, Masaharu Taniguchi,