Rotationally symmetric viscous gas flows

W. Weigant; P. I. Plotnikov

doi:10.1134/S0965542517030150

Rotationally symmetric viscous gas flows

W. Weigant, P. I. Plotnikov

Research output: Contribution to journal › Article › peer-review

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Abstract

The Dirichlet boundary value problem for the Navier–Stokes equations of a barotropic viscous compressible fluid is considered. The flow region and the data of the problem are assumed to be invariant under rotations about a fixed axis. The existence of rotationally symmetric weak solutions for all adiabatic exponents from the interval (γ*,∞) with a critical exponent γ* < 4/3 is proved.

Original language	English
Pages (from-to)	387-400
Number of pages	14
Journal	Computational Mathematics and Mathematical Physics
Volume	57
Issue number	3
DOIs	https://doi.org/10.1134/S0965542517030150
Publication status	Published - 1 Mar 2017

Keywords

Dirichlet boundary value problem
Navier–Stokes equations
rotational symmetry
viscous gas
weak solutions
NAVIER-STOKES EQUATIONS
COMPRESSIBLE ISENTROPIC FLUIDS
Navier-Stokes equations

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AB - The Dirichlet boundary value problem for the Navier–Stokes equations of a barotropic viscous compressible fluid is considered. The flow region and the data of the problem are assumed to be invariant under rotations about a fixed axis. The existence of rotationally symmetric weak solutions for all adiabatic exponents from the interval (γ*,∞) with a critical exponent γ* < 4/3 is proved.

KW - Dirichlet boundary value problem

KW - Navier–Stokes equations

KW - rotational symmetry

KW - viscous gas

KW - weak solutions

KW - NAVIER-STOKES EQUATIONS

KW - COMPRESSIBLE ISENTROPIC FLUIDS

KW - Navier-Stokes equations

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JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

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ER -

Rotationally symmetric viscous gas flows

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