The initial-boundary value problem for the compressible viscoelastic fluids

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.

References in corpus (2)

• Global Solutions for Incompressible Viscoelastic Fluids
• On 2D Viscoelasticity with Small Strain

Cited by in corpus (1)

• A blow-up criterion for 3-D compressible visco-elasticity