Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774021 | Journal of Differential Equations | 2017 | 28 Pages |
Abstract
This paper studies the Neumann problem of a nonlocal Allen-Cahn equation in an interval. A main result finds a symmetry breaking (secondary) bifurcation point on the bifurcation curve of solutions with odd-symmetry. Our proof is based on a level set analysis for the associated integral map. A method using the complete elliptic integrals proves the uniqueness of secondary bifurcation point. We also show some numerical simulations concerning the global bifurcation structure.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani,