Evolution of non-isothermal Landau–de Gennes nematic liquid crystals flows with singular potential

Feireisl, Eduard, Rocca, Elisabetta, Schimperna, Giulio and Zarnescu, Arghir (2014) Evolution of non-isothermal Landau–de Gennes nematic liquid crystals flows with singular potential. Communications in Mathematical Sciences, 12 (2). pp. 317-343. ISSN 1539-6746

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Abstract

We discuss a 3D model describing the time evolution of nematic liquid crystals in the framework of Landau-de Gennes theory, where the natural physical constraints are enforced by a singular free energy bulk potential proposed by J.M. Ball and A. Majumdar. The thermal effects are present through the component of the free energy that accounts for intermolecular interactions. The model is consistent with the general principles of thermodynamics and mathematically tractable. We identify the a priori estimates for the associated system of evolutionary partial differential equations and construct global-in-time weak solutions for arbitrary physically relevant initial data.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Arghir Zarnescu
Date Deposited: 07 Aug 2014 12:43
Last Modified: 07 Aug 2014 12:43
URI: http://sro.sussex.ac.uk/id/eprint/48719
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