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A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions

  1. 1.
    0349654 - MU-W 2011 RIV GB eng J - Článek v odborném periodiku
    Muzereau, O. - Neustupa, Jiří - Penel, P.
    A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions.
    Nonlinearity. Roč. 23, č. 12 (2010), s. 3071-3090 ISSN 0951-7715
    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: 1.468, rok: 2010
    http://iopscience.iop.org/0951-7715/23/12/005/

    We prove the existence of a partially strong solution to the steady Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, curl u.n=0 and curl curl u.n=0 on the boundary. We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for gamma>3. We call the solution "partially strong" because only the divergence - free part of velocity and the effective pressure have regularity typical for strong solutions, while the gradient part of velocity and the density have regularity typical for weak solutions.
    Trvalý link: http://hdl.handle.net/11104/0189833
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