Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1658-1685
Journal / PublicationJournal of Differential Equations
Issue number4
Online published18 Sept 2019
Publication statusPublished - 5 Feb 2020


We study the three dimensional compressible viscoelastic system with zero shear viscosity. The weighted L2 energy, derived from the local energy decay of the linearized system, and Sobolev type inequalities are applied to control the nonlinear terms and hence the global existence with small perturbations is established.

Research Area(s)

  • Viscoelastic, Zero shear viscosity, Global existence, Local energy decay