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

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...

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Bibliographic Details
Published in:Archive for rational mechanics and analysis 2012-08, Vol.205 (2), p.651-672
Main Authors: Feireisl, Eduard, Frémond, Michel, Rocca, Elisabetta, Schimperna, Giulio
Format: Article
Language:English
Subjects:
Classical Mechanics
Complex Systems
Fluid- and Aerodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary: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.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-012-0517-4