NONUNIQUENESS OF THE HEAT FLOW OF DIRECTOR FIELDS

被引：0
|
作者：
Primi, I. [1 ]
机构：
[1] Univ Heidelberg, Appl Math & BIOQUANT BQ 0021, INF 267, D-69120 Heidelberg, Germany
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2010年 / 15卷 / 3-4期
关键词：
TIME BLOW-UP; HARMONIC MAPS; DISK;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new example of nonuniqueness of weak solutions of the initial-boundary-value problem for the heat flow of director fields in an infinitely long cylinder in R(3). The example confirms the connection between nonuniqueness of axially symmetric solutions for the harmonic neap heat flow and the occurrence of point singularities in the solutions. The result is compared with earlier nonuniqueness results. Traveling wave solutions are used as barrier functions.
引用
收藏
页码：349 / 380
页数：32
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