Počet záznamů: 1

On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions

  1. 1.
    0349262 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Donatelli, D. - Feireisl, Eduard - Novotný, A.
    On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions.
    Discrete and Continuous Dynamical Systems-Series B. Roč. 13, č. 4 (2010), s. 783-798 ISSN 1531-3492
    Grant CEP: GA MŠk LC06052; GA ČR GA201/08/0315
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Navier-Stokes equations * singular limits * low Mach number * compressible fluids * unbounded domains
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.874, rok: 2010
    http://www.aimsciences.org/journals/displayArticles.jsp?paperID=4976

    We study the low Mach number limit for the compressible Navier-Stokes system supplemented with Navier's boundary condition on an unbounded domain with compact boundary. Our main result asserts that the velocities converge pointwise to a solenoidal vector field - a weak solution of the incompressible Navier-Stokes system - while the fluid density becomes constant. The proof is based on a variant of local energy decay property for the underlying acoustic equation established by Kato.
    Trvalý link: http://hdl.handle.net/11104/0189549
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