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The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions

Ya-Guang Wang, Mark Williams (2012)

Annales de l’institut Fourier

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We study boundary layer solutions of the isentropic, compressible Navier-Stokes equations with Navier-friction boundary conditions when the viscosity constants appearing in the momentum equation are proportional to a small parameter ϵ . These boundary conditions are characteristic for the underlying inviscid problem, the compressible Euler equations. The boundary condition implies that the velocity on the boundary is proportional to the tangential...