Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition

The inviscid limit for the two-dimensional compressible viscoelastic equations in half plane is considered under no-slip boundary condition. When initial deformation tensor a perturbation of identity matrix and density near positive constant, we establish uniform estimates solutions to flows conormal Sobolev spaces. It well-known that corresponding Navier-Stokes with condition, one does not expect energy due appearance strong layers. However, when effect taken into account, our results show plays an important role vanishing viscosity process can surprisingly prevent formation As result are able justify viscous condition governed by equations, based on regularity achieved this paper.