Weak geodesic flow and global solutions of the Hunter-Saxton equation

被引：39

作者：

Lenells, Jonatan ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 18卷 / 04期

关键词：

Hunter-Saxton equation; weak geodesic flow; global weak solutions;

D O I：

10.3934/dcds.2007.18.643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how global weak solutions of the Hunter-Saxton equation can be naturally constructed using the geometric interpretation of the equation as the Euler equation for the geodesic flow on an L-2-sphere. The approach involves forming a weak extension of the geodesic flow and relating it to a corresponding weak formulation of the Hunter-Saxton equation.

引用

页码：643 / 656

页数：14

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