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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 ZarnescuWe 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.
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Publication status
- Published
Journal
Communications in Mathematical SciencesISSN
1539-6746Publisher
International PressExternal DOI
Issue
2Volume
12Page range
317-343Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-08-07Usage metrics
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