ENERGY CONSERVATIVE SOLUTIONS TO A NONLINEAR WAVE SYSTEM OF NEMATIC LIQUID CRYSTALS

被引：21

作者：

Chen, Geng ^{[1
]}

Zhang, Ping ^{[2
,3
]}

Zheng, Yuxi ^{[4
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[4] Yeshiva Univ, Dept Math Sci, New York, NY 10033 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 03期

关键词：

Hyperbolic; Camassa-Holm; spherical angles; three-component form; WEAK SOLUTIONS; GLOBAL REGULARITY; MAPS; EQUATION;

D O I：

10.3934/cpaa.2013.12.1445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the global existence of solutions to the Cauchy problem for a system of hyperbolic partial differential equations in one space dimension modeling a type of nematic liquid crystals that has equal splay and twist coefficients. Our results have no restrictions on the angles of the director, as we use the director in its natural three-component form, rather than the two-component form of spherical angles.

引用

页码：1445 / 1468

页数：24

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