Compact traveling waves for anisotropic mean-curvature flow with driving force

開催日時
2022/11/18 金 16:00 - 17:00
講演者
物部 治徳
講演者所属
大阪公立大学大学院理学研究科
概要

Mean-curvature flow with a driving force appears in various mathematical problems such as motion of soap films, grain boundaries and singular limit problems of various reaction diffusion systems, e.g., FitzHugh-Nagumo equation.  In this talk, we show the existence and uniqueness of traveling waves, composed of a Jordan curve (or closed surface), for an anisotropic curvature flow with a driving force. We call such a solution "compact traveling wave" in this talk. Our aim is to investigate the condition of external driving force when the curvature flow has traveling waves.

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