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The initial-boundary value problem for the compressible viscoelastic flows

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  • The initial-boundary value problem for the equations of compressible viscoelastic flows is considered in a bounded domain of three-dimensional spatial dimensions. The global existence of strong solution near equilibrium is established. Uniform estimates in $W^{1,q}$ with $q>3$ on the density and deformation gradient are also obtained.
    Mathematics Subject Classification: 35A05, 76A10, 76D03.

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