Publication Cover
Applicable Analysis
An International Journal
Volume 15, 1983 - Issue 1-4
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Original Articles

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

Pages 91-114 | Received 16 Aug 1982, Published online: 02 May 2007
 

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.

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