Email this article Rotationally symmetric viscous gas flows
- Authors: Weigant W.1, Plotnikov P.I.2,3
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Affiliations:
- Bonn University
- Novosibirsk State University
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Issue: Vol 57, No 3 (2017)
- Pages: 387-400
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178979
- DOI: https://doi.org/10.1134/S0965542517030150
- ID: 178979
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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.
About the authors
W. Weigant
Bonn University
Author for correspondence.
Email: w-weigant@t-online.de
Germany, Bonn
P. I. Plotnikov
Novosibirsk State University; Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Email: w-weigant@t-online.de
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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