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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

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 component of...

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