APPLICATIONS OF MATHEMATICS, Vol. 50, No. 4, pp. 331-339, 2005

A remark on the smoothness of bounded regions
filled with a steady compressible and
isentropic fluid

Sebastien Novo, Antonin Novotny

S. Novo, A. Novotny, La Garde Laboratoire d'Analyse Non lineaire Appliquee et Modelisation, Universite de Toulon et du Var, B.P. 20132, 83957 La Garde, France, e-mails: novotny@univ-tln.fr, seb.novo@cegetel.net

Abstract: For convenient adiabatic constants, existence of weak solutions to the steady compressible Navier-Stokes equations in isentropic regime in smooth bounded domains is well known. Here we present a way how to prove the same result when the bounded domains considered are Lipschitz.

Keywords: Navier-Stokes equations, compressible fluid, weak solution

Classification (MSC 2000): 35Q30, 76N10


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