Global existence of dissipative solutions to the Hunter-Saxton equation via vanishing viscosity

被引：12

作者：

Li, Jingyu ^{[1
]}

Zhang, Kaijun ^{[1
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 03期

关键词：

Hunter-Saxton equation; Dissipative solution; Vanishing viscosity; L-p Young measure; HYPERBOLIC VARIATIONAL EQUATION; ASYMPTOTIC EQUATION; WAVE-EQUATION; WEAK SOLUTIONS; UNIQUENESS; SPACES;

D O I：

10.1016/j.jde.2010.08.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the vanishing viscosity method, we prove the global existence of dissipative weak solutions to the Hunter-Saxton equation that describes the propagation of waves in a massive director field of a nematic liquid crystal. Our main tool is the L-p Young measure theory. We also derive the upper bound on the convergence rate for the vanishing viscosity approximations. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1427 / 1447

页数：21

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