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

journal contribution
posted on 2023-06-08, 17:20 authored by Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna, Arghir Zarnescu
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.

History

Publication status

  • Published

Journal

Communications in Mathematical Sciences

ISSN

1539-6746

Publisher

International Press

Issue

2

Volume

12

Page range

317-343

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-08-07

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