On weak solutions of steady Navier-Stokes equations for monoatomic gas

0340597 - MÚ 2010 RIV CZ eng J - Journal Article
Březina, Jan - Novotný, A.
On weak solutions of steady Navier-Stokes equations for monoatomic gas.
Commentationes Mathematicae Universitatis Carolinae. Roč. 49, č. 4 (2008), s. 611-632. ISSN 0010-2628
R&D Projects: GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : steady compressible Navier-Stokes equations * isentropic flow * potential theory
Subject RIV: BA - General Mathematics

We use uniform estimates for the inverse Laplacean of the pressure introduced by Plotnikov, Sokolowski and Frehse, Goj, Steinhauer, together with the nonlinear potential due to Adams, Hedberg, to get a priori estimates and to prove existence of weak solutions to steady isentropic Navier-Stokes equations.
Permanent Link: http://hdl.handle.net/11104/0183807