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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2017 Volume 208, Number 8, Pages 31–55 (Mi sm8901)
This article is cited 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

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.

UDC: 517.95+539.375

MSC: Primary 35Q35; Secondary 35B40, 76N15

Received: 31.12.2016 and 01.02.2017

DOI: 10.4213/sm8901


 English version: Sbornik: Mathematics, 2017, 208:8, 1113–1137

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© Steklov Math. Inst. of RAS, 2024