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A steady Navier-Stokes model for compressible fluid with partially strong solutions

  1. 1.
    0345049 - MU-W 2011 RIV FR eng J - Článek v odborném periodiku
    Muzereau, O. - Neustupa, Jiří - Penel, P.
    A steady Navier-Stokes model for compressible fluid with partially strong solutions.
    Comptes Rendus Mathematique. Roč. 348, 11-12 (2010), s. 619-624 ISSN 1631-073X
    Grant CEP: GA ČR GA201/08/0012
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Navier-Stokes equations * Compressible fluids * Weak solution
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.399, rok: 2010
    http://www.sciencedirect.com/science/article/pii/S1631073X10001160

    In this note, we prove the existence of a partially strong solution to the steady Navier–Stokes equations for viscous barotropic compressible fluids, in a bounded simply connected domain of R3 with the prescribed generalized impermeability conditions , k=0,1,2 on the boundary. We call the solution “partially strong” because only the divergence-free part of the velocity field and the associated effective pressure have regularity typical for strong solution, while the density and the gradient part of the velocity have regularity typical for weak solution.
    Trvalý link: http://hdl.handle.net/11104/0186414
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