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

3D steady compressible Navier--Stokes equations

Milan Pokorný 1, and  Piotr B. Mucha 2,

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).
Keywords: slip boundary conditions, steady compressible Navier--Stokes equations, existence and regularity of the solution..
Mathematics Subject Classification: Primary: 76N10; Secondary: 35Q3.
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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