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The Initial Boundary Value Problem for the Flow of a Barotropic Viscous Fluid,Global in Time
Authors:W Fiszdon  W M Zajaczkowski  R P Gilbert
Institution:School Of Mathematics , The University of New South Wales , Kensington, 2033, Australia
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:elliptic system  sobolev  critical exponent  Bifurcation  Asymptotic
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