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 Ω in ℝn 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”.
|Original language||English (US)|
|Title of host publication||Contemporary Mathematics|
|Publisher||American Mathematical Society|
|Number of pages||13|
|State||Published - 2016|
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