A New Approach to Non-Isothermal Models for Nematic Liquid Crystals

被引：62

作者：

Feireisl, Eduard ^{[1
]}

Fremond, Michel ^{[2
]}

Rocca, Elisabetta ^{[3
]}

Schimperna, Giulio ^{[4
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Univ Roma Tor Vergata, Dipartimento Ingn Civile, I-00133 Rome, Italy

[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[4] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 205卷 / 02期

关键词：

WELL-POSEDNESS;

D O I：

10.1007/s00205-012-0517-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical thermodynamics. The resulting system of equations captures all essential features of physically relevant models; in particular, the effect of stretching of the director field is taken into account. In addition, the associated initial-boundary value problem admits global-in-time weak solutions without any essential restrictions on the size of the initial data.

引用

页码：651 / 672

页数：22

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