A Third-Order Dispersive Flow for Closed Curves into Kähler Manifolds
A Third-Order Dispersive Flow for Closed Curves into Kähler Manifolds
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DOI：
10.1007/s12220-008-9023-1
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发表时间：
2007-07
影响因子：
1.1
通讯作者：
E. Onodera
中科院分区：
文献类型：
--
作者：
E. Onodera
本文研究了Kähler流形中闭曲线的三阶色散方程的初值问题。该方程是描述涡丝运动的两球值系统的几何推广。利用几何分析和经典能量方法证明了局部存在性定理。
This article is devoted to studying the initial value problem for a third-order dispersive equation for closed curves into Kähler manifolds. This equation is a geometric generalization of a two-sphere valued system modeling the motion of vortex filament. We prove the local existence theorem by using geometric analysis and classical energy method.