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Sbornik: Mathematics, 2017, Volume 208, Issue 8, Pages 1113–1137
DOI: https://doi.org/10.1070/SM8901 (Mi sm8901) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bounds for solutions of isothermal equations of viscous gas dynamics

W. Weiganta, P. I. Plotnikovbc

a University of Bonn, Germany
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
English version PDF (574 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM8901
Abstract: We consider the first boundary-value problem for the Navier-Stokes equations of isothermal viscous gas flows. We establish bounds for the flow density in negative Sobolev spaces and Lebesgue spaces.
Bibliography: 8 titles.
Keywords: viscous gas, Navier-Stokes equations, potentials.
Funding agency Grant number
Russian Science Foundation 15-11-20019
The work of P. I. Plotnikov is supported by the Russian Science Foundation under grant 15-11-20019 at the Lavrent'ev Institute of Hydrodynamics at the Siberian Branch of the Russian Academy of Sciences. Sections 1–3 were written by P. I. Plotnikov, and §§ 4–6 by W. Weigant.
Received: 31.12.2016 and 01.02.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 8, Pages 31–55
DOI: https://doi.org/10.4213/sm8901
Bibliographic databases:
Document Type: Article
UDC: 517.95+539.375
MSC: Primary 35Q35; Secondary 35B40, 76N15
Language: English
Original paper language: Russian
Citation: W. Weigant, P. I. Plotnikov, “Bounds for solutions of isothermal equations of viscous gas dynamics”, Mat. Sb., 208:8 (2017), 31–55; Sb. Math., 208:8 (2017), 1113–1137
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    References:68
    First page:38
     
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