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Weak sequential stability for a nonlinear model of nematic electrolytes

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    SYSNO ASEP0537016
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleWeak sequential stability for a nonlinear model of nematic electrolytes
    Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Rocca, E. (IT)
    Schimperna, G. (IT)
    Zarnescu, A. (ES)
    Source TitleDiscrete and Continuous Dynamical systems - Series S, Series S - ISSN 1937-1632
    Roč. 14, č. 1 (2021), s. 219-241
    Number of pages23 s.
    Languageeng - English
    CountryUS - United States
    KeywordsNernst-Planck equation ; Navier-Stokes system ; a-priori estimates ; compactness ; weak-sequential stability
    Subject RIVBA - General Mathematics
    OBOR OECDPure mathematics
    R&D ProjectsGA18-05974S GA ČR - Czech Science Foundation (CSF)
    Způsob publikováníOpen access
    Institutional supportMU-W - RVO:67985840
    UT WOS000595659200012
    EID SCOPUS85098963252
    AnnotationIn this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a Nernst-Planck system for the ions concentrations with a Maxwell's equation of electrostatics governing the evolution of the electrostatic potential, a Navier-Stokes equation for the velocity field, and a non-smooth Allen-Cahn type equation for the nematic director field. We focus on the two-species case and prove apriori estimates that provide a weak sequential stability result, the main step towards proving the existence of weak solutions.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová,,, Tel.: 222 090 757
    Year of Publishing2022
    Electronic address
Number of the records: 1