Remarks on the inviscid limit for the compressible flows

摘要

We establish various criteria, known in the incompressible case, for the validity of the inviscid limit for the compressible Navier-Stokes flows considered in a general domain ? in R~n with or without a boundary. In the presence of a boundary, a generalized Navier boundary condition for velocity is assumed, which includes the classical no-slip boundary conditions. In this general setting we extend the Kato criteria and show the convergence to a solution "dissipative up to the boundary".