Regularity and time-periodicity for a nematic liquid crystal model

被引：25

作者：

Climent-Ezquerra, Blanca ^{[1
]}

Guillen-Gonzalez, Francisco ^{[1
]}

Jesus Moreno-Iraberte, M. ^{[1
]}

机构：

[1] Univ Seville, Dpto Ecuaciones Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 1-2期

关键词：

Solution up to infinity time; Time-periodic solutions; Uniqueness; Navier-Stokes equations; Nematic liquid crystal models; Coupled nonlinear parabolic system;

D O I：

10.1016/j.na.2008.10.092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper two main results are obtained for a nematic liquid crystal model with time-dependent boundary Dirichlet data for the orientation of the crystal molecules. First, the initial-boundary problem is considered, obtaining the existence of global in time (up to infinity time) weak solution, the existence of global regular solution for viscosity coefficient big enough, and the weak/strong uniqueness. Second, using these previous results and the existence of time-periodic weak solutions proved in [B. Climent-Ezquerra, F. Guillen-Gonzalez, M.A. Rojas-Medar, Reproductivity for a nematic liquid crystal model, Z. Angew. Math. Phys. 576 (6) (2006) 984-998], the regularity of any time-periodic weak solution is deduced for viscosity coefficient big enough. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：539 / 549

页数：11

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