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On the long-time behavior of some mathematical models for nematic liquid crystals

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00374133" target="_blank" >RIV/67985840:_____/13:00374133 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00526-012-0496-1" target="_blank" >http://dx.doi.org/10.1007/s00526-012-0496-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00526-012-0496-1" target="_blank" >10.1007/s00526-012-0496-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the long-time behavior of some mathematical models for nematic liquid crystals

  • Original language description

    A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the velocity field u and the director field d, representing the preferred orientation of molecules in a neighborhood of any point in a reference domain. After recalling a known existence result, we investigate the longtime behavior of weak solutions. In particular, we show that any solution trajectory admits a non-empty ?-limit set containing only stationary solutions. Moreover, we give a number of sufficient conditions in order that the ?-limit set contains a single point. Our approach improves and generalizes existing results on the same problem.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Calculus of Variations and Partial Differential Equations

  • ISSN

    0944-2669

  • e-ISSN

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    17

  • Pages from-to

    623-639

  • UT code for WoS article

    000314709300008

  • EID of the result in the Scopus database