Concentration-cancellation in the Ericksen-Leslie model

被引：5
|
作者：
Kortum, Joshua [1 ]
机构：
[1] Univ Wurzburg, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 59卷 / 06期
关键词：
Primary; 35Q35; Secondary; 35K55; 76A15; 58E20; WEAK SOLUTIONS; HEAT-FLOW; EQUATIONS; EXISTENCE; EVOLUTION;
D O I：
10.1007/s00526-020-01849-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the subconvergence of weak solutions to the Ginzburg-Landau approximation to global-in-time weak solutions of the Ericksen-Leslie model for nematic liquid crystals on the torus T-2. The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.
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页数：16
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