Stationary solutions to the compressible Navier–Stokes system with general boundary conditions

  • Eduard Feireisl

    Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, CZ-115 67 Praha 1, Czech Republic; Mathematical Institute, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague, Czech Republic
  • Antonín Novotný

    IMATH, EA 2134, Université du Sud Toulon-Var, BP 20132, 83957 La Garde, France

Abstract

We consider the stationary compressible Navier–Stokes system supplemented with general inhomogeneous boundary conditions. Assuming the pressure to be given by the standard hard sphere EOS we show existence of weak solutions for arbitrarily large boundary data.

Cite this article

Eduard Feireisl, Antonín Novotný, Stationary solutions to the compressible Navier–Stokes system with general boundary conditions. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 6, pp. 1457–1475

DOI 10.1016/J.ANIHPC.2018.01.001