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Mat. Sb., 2017, Volume 208, Number 8, Pages 31–55 (Mi msb8901)  

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

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.

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm8901

Full text: PDF file (835 kB)
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English version:
Sbornik: Mathematics, 2017, 208:8, 1113–1137

Bibliographic databases:

UDC: 517.95+539.375
MSC: Primary 35Q35; Secondary 35B40, 76N15
Received: 31.12.2016 and 01.02.2017

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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