Well-Posedness of the Ericksen–Leslie System

被引：2

作者：

Wei Wang

Pingwen Zhang

Zhifei Zhang

机构：

[1] Peking University,School of Mathematical Sciences and Beijing International Center for Mathematical Research

[2] Peking University,School of Mathematical Sciences and LMAM

来源：

Archive for Rational Mechanics and Analysis | 2013年 / 210卷

关键词：

Liquid Crystal; Weak Solution; Nematic Liquid Crystal; Deborah Number; Leslie System;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the local well-posedness of the Ericksen–Leslie system, and the global well-posedness for small initial data under a physical constraint condition on the Leslie coefficients, which ensures that the energy of the system is dissipated. Instead of the Ginzburg–Landau approximation, we construct an approximate system with the dissipated energy based on a new formulation of the system.

引用

页码：837 / 855

页数：18

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