The Initial Boundary Value Problem for the Flow of a Barotropic Viscous Fluid, Global in Time

1 January 1983

journal article
research article
Published by Taylor & Francis in Applicable Analysis

Vol. 15 (1-4) , 91-114
https://doi.org/10.1080/00036818308839441

Abstract

AMS (MOS) Subject Classification 76N10, 35G30 The existence and uniqueness of solutions, in Sobolev spaces, of the initial boundary value problem, global in time for the set of equations describing the flow of a barotropic viscous gas is investigated. A proof is deduced only for the case of inflow into a bounded domain valid for small initial and boundary conditions.

Keywords

This publication has 6 references indexed in Scilit:

Local solvability of a nonstationary leakage problem for an ideal incompressible fluid, 3
Mathematical Methods in the Applied Sciences, 1982
The initial value problem for the equations of motion of viscous and heat-conductive gases
Kyoto Journal of Mathematics, 1980
On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion
Publications of the Research Institute for Mathematical Sciences, 1977
On the initial value problem of the motion of compressible viscous fluid, especially on the problem of uniqueness
Kyoto Journal of Mathematics, 1976
On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
Kodai Mathematical Journal, 1971
Le problème de Cauchy pour les équations différentielles d'un fluide général
Bulletin de la Société Mathématiques de France, 1962