The initial-boundary value problem for the compressible viscoelastic fluids

Published 22 Feb 2011 in math.AP | (1102.4398v1)

Abstract: The global existence of strong solution to the initial-boundary value problem of the three-dimensional compressible viscoelastic fluids near equilibrium is established in a bounded domain. Uniform estimates in $W^{1,q}$ with $q>3$ on the density and deformation gradient are also obtained. All the results apply to the two-dimensional case.

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