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Evolution of non-isothermal Landau-De Gennes nematic liquid crystals flows with singular potential
- 1.0397180 - MU-W 2014 RIV US eng J - Journal Article
Feireisl, Eduard - Rocca, E. - Schimperna, G. - Zarnescu, A.
Evolution of non-isothermal Landau-De Gennes nematic liquid crystals flows with singular potential.
Communications in Mathematical Sciences. Roč. 12, č. 2 (2014), s. 317-343. ISSN 1539-6746
R&D Projects: GA ČR GA201/09/0917
Institutional support: RVO:67985840
Keywords : liquid crystals * global existence of weak solutions * Navier-Stokes equations
Subject RIV: BA - General Mathematics
Impact factor: 1.120, year: 2014
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.
Permanent Link: http://hdl.handle.net/11104/0224814