Dynamical approximation of internal transition layers in a bistable nonlcal reaction-diffusion equation via averaged mean curvature flow

• Okada Koji

抄録

A singular perturbation problem for a scalar bistable nonlocal reaction-diffusion equation is treated. It is rigorously proved that the layer solutions of this nonlocal reaction-diffusion equation converge to solutions of the averaged mean curvature flow on a finite time interval as the singular perturbation parameter tends to zero.

収録刊行物

• Hiroshima mathematical journal

  Hiroshima mathematical journal 38 (2), 263-313, 2008-07

  広島大学

詳細情報

• CRID: 1572824502095432704
• NII論文ID: 110006794236
• NII書誌ID: AA00664323
• ISSN: 00182079
• 本文言語コード: en
• データソース種別:
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