Existence and uniqueness theorems for the full three-dimensional Ericksen-Leslie system

被引：3

作者：

Chechkin, Gregory A. ^{[1
]}

Ratiu, Tudor S. ^{[2
,3
]}

Romanov, Maxim S. ^{[1
]}

Samokhin, Vyacheslav N. ^{[4
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Dept Differential Equat, Moscow 119991, Russia

[2] Shanghai Jiao Tong Univ, Sch Math, 800 Dongchuan Rd, Shanghai 200240, Peoples R China

[3] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

[4] Moscow State Univ Printing Arts, 2A Pryanishnikova Ul, Moscow 127550, Russia

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2017年 / 27卷 / 05期

基金：

瑞士国家科学基金会;

关键词：

Liquid crystal; Ericksen-Leslie equations; nematodynamics; existence and uniqueness; director field; speed of propagation; NEMATIC LIQUID-CRYSTALS; CONSTITUTIVE EQUATIONS; ANISOTROPIC FLUIDS; CONTINUUM THEORY; FLOW; CONFIGURATIONS; FORCE; MODEL;

D O I：

10.1142/S0218202517500178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the three-dimensional Ericksen-Leslie equations for the nematodynamics of liquid crystals. We prove short time existence and uniqueness of strong solutions for the initial value problem for the periodic case and in bounded domains with both Dirichlet- and Neumann-type boundary conditions.

引用

页码：807 / 843

页数：37

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