DYNAMICS OF DIRECTOR FIELDS

被引：392

作者：

HUNTER, JK

SAXTON, R

机构：

[1] UNIV CALIF DAVIS,INST THEORET DYNAM,DAVIS,CA 95616

[2] UNIV NEW ORLEANS,DEPT MATH,NEW ORLEANS,LA 70148

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1991年 / 51卷 / 06期

关键词：

NONLINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS; LIQUID CRYSTALS; GEOMETRICAL OPTICS;

D O I：

10.1137/0151075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An asymptotic equation for weakly nonlinear hyperbolic waves governed by variational principles is derived and analyzed. The equation is used to study a nonlinear instability in the director field of a nematic liquid crystal. It is shown that smooth solutions of the asymptotic equation break down in finite time. Also constructed are weak solutions of the equation that axe continuous despite the fact that their spatial derivative blows up.

引用

页码：1498 / 1521

页数：24