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

0340597 - MÚ 2010 RIV CZ eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT LC06052
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: steady compressible Navier-Stokes equations * isentropic flow * potential theory
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0183807