Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies

被引：7

作者：

Emmrich, Etienne ^{[1
]}

Lasarzik, Robert ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期

关键词：

Ericksen-Leslie equation; existence; Galerkin approximation; liquid crystal; weak solution; NEMATIC LIQUID-CRYSTAL; SYSTEM; FLOWS;

D O I：

10.1002/mma.5172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is proven via a Galerkin approximation with eigenfunctions of a strongly elliptic operator. A novelty is that the principal part of the differential operator appearing in the director equation can be nonlinear.

引用

页码：6492 / 6518

页数：27

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