Počet záznamů: 1

On the motion of incompressible inhomogeneous Euler-Korteweg fluids

  1. 1.
    0349263 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Bulíček, M. - Feireisl, Eduard - Málek, J. - Shvydkoy, R.
    On the motion of incompressible inhomogeneous Euler-Korteweg fluids.
    Discrete and Continuous Dynamical systems - Series S. Roč. 3, č. 3 (2010), s. 497-515 ISSN 1937-1632
    Grant CEP: GA MŠk LC06052; GA ČR GA201/09/0917
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Korteweg fluid * inhomogeneous Euler fluid * Korteweg stress * local-in-time well-posedness * smooth solution
    Kód oboru RIV: BA - Obecná matematika
    http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5226

    We study a system of equations governing evolution of incompressible inhomogeneous Euler-Korteweg fluids that describe a class of incompressible elastic materials. A local well-posedness theory is developed on a bounded smooth domain with no-slip boundary condition on velocity and vanishing gradient of density. The cases of open space and periodic box are also considered, where the local existence and uniqueness of solutions is shown in Sobolev spaces up to the critical smoothness n/2+1.
    Trvalý link: http://hdl.handle.net/11104/0189550
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