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ID 53604
フルテキストURL
著者
抄録
This paper studies traveling fronts to the Allen–Cahn equation in RN for N ≥ 3. Let (N −2)-dimensional smooth surfaces be the boundaries of compact sets in RN−1 and assume that all principal curvatures are positive everywhere. We define an equivalence relation between them and prove that there exists a traveling front associated with a given surface and that it is asymptotically stable for given initial perturbation. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.
キーワード
traveling front
Allen–Cahn equation
nonsymmetric
備考
© 2015 Society for Industrial and Applied Mathematics
発行日
2015-01
出版物タイトル
SIAM Journal on Mathematical Analysis
47巻
1号
出版者
Society for Industrial and Applied Mathematics
開始ページ
455
終了ページ
476
ISSN
0036-1410
NCID
AA00424217
資料タイプ
学術雑誌論文
オフィシャル URL
http://epubs.siam.org/loi/sjmaah
言語
English
著作権者
Society for Industrial and Applied Mathematics
論文のバージョン
publisher
査読
有り
DOI
Web of Sience KeyUT