The initial-boundary value problem for the compressible viscoelastic fluids

Details The initial-boundary value problem for the compressible viscoelastic fluids The initial-boundary value problem for the compressible viscoelastic fluids

2011-02-22

arxiv.org/abs/1102.4398v1

Mathematics

Analysis of PDEs

Scientific paper

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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