Abstract

The Navier–Stokes equations for compressible barotropic flow in the stationary three dimensional case are considered. It is assumed that a fluid occupies a bounded domain and satisfies the no-slip boundary condition. The existence of a weak solution under the assumption that the adiabatic exponent satisfies γ>1 is proved. These results cover the cases of monoatomic, diatomic, and polyatomic gases.

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