Steady 3D viscous compressible flows with adiabatic exponent $\gamma\in (1,\infty)$

P. I. Plotnikov; W. Weigant

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arXiv · 1312.5829

Steady 3D viscous compressible flows with adiabatic exponent $\gamma\in (1,\infty)$

P. I. Plotnikov·W. Weigant

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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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BibTeX RIS

P. I. Plotnikov, W. Weigant. 2013-12-20. Steady 3D viscous compressible flows with adiabatic exponent $\gamma\in (1,\infty)$. https://arxiv.org/abs/1312.5829

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