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

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    SYSNO ASEP0397180
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleEvolution 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 TitleCommunications in Mathematical Sciences. - : International Press - ISSN 1539-6746
    Roč. 12, č. 2 (2014), s. 317-343
    Number of pages27 s.
    Languageeng - English
    CountryUS - United States
    Keywordsliquid crystals ; global existence of weak solutions ; Navier-Stokes equations
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/09/0917 GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    UT WOS000326979400006
    EID SCOPUS84885447632
    DOI10.4310/CMS.2014.v12.n2.a6
    AnnotationWe 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.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2014
Number of the records: 1  

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