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Evolution of non-isothermal Landau-De Gennes nematic liquid crystals flows with singular potential
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SYSNO ASEP 0397180 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Evolution of non-isothermal Landau-De Gennes nematic liquid crystals flows with singular potential Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Schimperna, G. (IT)
Zarnescu, A. (GB)Source Title Communications in Mathematical Sciences. - : International Press - ISSN 1539-6746
Roč. 12, č. 2 (2014), s. 317-343Number of pages 27 s. Language eng - English Country US - United States Keywords liquid crystals ; global existence of weak solutions ; Navier-Stokes equations Subject RIV BA - General Mathematics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000326979400006 EID SCOPUS 84885447632 DOI 10.4310/CMS.2014.v12.n2.a6 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2014
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