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This article is cited in 2 scientific papers (total in 2 papers)
Rotationally symmetric viscous gas flows
W. Weiganta, P. I. Plotnikovbc a Bonn University, Bonn, Germany
b Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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 $(\gamma^*, \infty)$ with a critical exponent $\gamma^*< 4/3$ is proved.
Key words:
viscous gas, Navier–Stokes equations, rotational symmetry, Dirichlet boundary value problem, weak solutions.
Received: 26.07.2016
Citation:
W. Weigant, P. I. Plotnikov, “Rotationally symmetric viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 382–395; Comput. Math. Math. Phys., 57:3 (2017), 387–400
Linking options:
https://www.mathnet.ru/eng/zvmmf10531 https://www.mathnet.ru/eng/zvmmf/v57/i3/p382
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Abstract page: | 299 | Full-text PDF : | 43 | References: | 50 | First page: | 41 |
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