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On weak solutions to a diffuse interface model of a binary mixture of compressible fluids

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    SYSNO ASEP0452994
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn weak solutions to a diffuse interface model of a binary mixture of compressible fluids
    Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Source TitleDiscrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
    Roč. 9, č. 1 (2016), s. 173-183
    Number of pages11 s.
    Languageeng - English
    CountryUS - United States
    KeywordsEuler-Cahn-Hilliard system ; weak solution ; diffuse interface model
    Subject RIVBA - General Mathematics
    R&D ProjectsGA13-00522S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    UT WOS000369601800015
    EID SCOPUS84958758166
    DOI10.3934/dcdss.2016.9.173
    AnnotationWe consider the Euler-Cahn-Hilliard system proposed by Lowengrub and Truskinovsky describing the motion of a binary mixture of compressible fluids. We show that the associated initial-value problem possesses infinitely many global-in-time weak solutions for any finite energy initial data. A modification of the method of convex integration is used to prove the result.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2017
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