The motion of elastic planar closed curves under the area-preserving condition

研究成果: Article査読

14 被引用数 (Scopus)

抄録

We consider the motion of an elastic closed curve with constant enclosed area. This motion is governed by a system involving fourth order parabolic equations. We shall prove that this system has a unique classical solution for all time and the solution converges uniformly to a stationary solution together with its derivatives of any order.

本文言語English
ページ(範囲)1871-1912
ページ数42
ジャーナルIndiana University Mathematics Journal
56
4
DOI
出版ステータスPublished - 2007
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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