THE MOTION OF ELASTIC PLANAR CLOSED CURVES UNDER THE AREA-PRESERVING CONDITION
THE MOTION OF ELASTIC PLANAR CLOSED CURVES UNDER THE AREA-PRESERVING CONDITION
复制标题
DOI：
10.1512/iumj.2007.56.3015
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
S. Okabe
中科院分区：
文献类型：
--
作者：
S. Okabe
考虑具有恒定封闭面积的弹性封闭曲线的运动。这个运动是由一个包含四阶抛物方程的系统控制的。我们将证明这个系统在任何时候都有一个唯一的经典解，并且解连同它的任意阶导数一致收敛于一个平稳解。
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.