March  2008, 1(1): 151-163. doi: 10.3934/dcdss.2008.1.151

3D steady compressible Navier--Stokes equations

1. 

Charles University Prague, Mathematical Institute, Sokolovská 83, 186 75 Praha, Czech Republic

2. 

Warsaw University, Inst. of Applied Math. and Mech., ul. Banacha 2, 02-097 Warszawa, Poland

Received  September 2006 Revised  September 2007 Published  December 2007

We study the steady compressible Navier--Stokes equations in a bounded smooth three-dimensional domain, together with the slip boundary conditions. We show that for a certain class of the pressure laws, there exists a weak solution with bounded density (in $L^\infty$ up to boundary).
Citation: Milan Pokorný, Piotr B. Mucha. 3D steady compressible Navier--Stokes equations. Discrete & Continuous Dynamical Systems - S, 2008, 1 (1) : 151-163. doi: 10.3934/dcdss.2008.1.151
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