The initial-boundary value problem for the compressible viscoelastic flows

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Original languageEnglish
Pages (from-to)917-934
Journal / PublicationDiscrete and Continuous Dynamical Systems- Series A
Issue number3
Publication statusPublished - Mar 2015


The initial-boundary value problem for the equations of compress- ible viscoelastic ows is considered in a bounded domain of three-dimensional spatial dimensions. The global existence of strong solution near equilibrium is established. Uniform estimates in W1,q with q > 3 on the density and deformation gradient are also obtained.

Research Area(s)

  • Compressible viscoelastic ows, Existence, Initial-boundary value problem, Strong solution