Evolution of non-isotherma Landau-De Gennes nematic liquid crystals flows with singular potential

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00397180" target="_blank" >RIV/67985840:_____/14:00397180 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4310/CMS.2014.v12.n2.a6" target="_blank" >http://dx.doi.org/10.4310/CMS.2014.v12.n2.a6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/CMS.2014.v12.n2.a6" target="_blank" >10.4310/CMS.2014.v12.n2.a6</a>

Result language
angličtina
Original language name
Evolution of non-isotherma Landau-De Gennes nematic liquid crystals flows with singular potential
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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