arXiv subjects

W. Weigant

Publications and source records attributed to W. Weigant.

2 recordsLinked to original sources

arXiv2014

Isothermal Navier-Stokes Equations and Radon Transform

In the paper we prove the existence results for initial-value boundary value problems for compressible isothermal Navier-Stokes equations. We restrict ourselves to 2D case of a problem with no-slip condition for nonstationary motion of viscous compressible isothermal fluid. However, the technique of modeling and analysis presented here is general and can be used for 3D problems.

math.AP↗

arXiv2013

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

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.

math.AP↗