Geodesic
A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid
Applications of Mathematics, Tome 50 (2005) no. 4, pp. 331-339.

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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.
DOI : 10.1007/s10492-005-0026-y
Classification : 35D05, 35Q30, 76N10
Keywords: Navier-Stokes equations; compressible fluid; weak solution 
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Novo, Sébastien; Novotný, Antonín. A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. Applications of Mathematics, Tome 50 (2005) no. 4, pp. 331-339. doi : 10.1007/s10492-005-0026-y. http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0026-y/

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