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arXiv · 1410.2811

The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions

Matthew Paddick
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Abstract

We obtain existence and conormal Sobolev regularity of strong solutions to the 3D compressible isentropic Navier-Stokes system on the half-space with a Navier boundary condition, over a time that is uniform with respect to the viscosity parameters when these are small. These solutions then converge globally and strongly in $L^2$ towards the solution of the compressible isentropic Euler system when the viscosity parameters go to zero.

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Matthew Paddick. 2014-10-10. The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions. https://arxiv.org/abs/1410.2811

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