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Steady 3D viscous compressible flows with adiabatic exponent $γ\in (1,\infty)$ (1312.5829v1)
Published 20 Dec 2013 in math.AP
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 $\gamma>1$ is proved. These results cover the cases of monoatomic, diatomic, and polyatomic gases.
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