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

2014/10/10 by Matthew Paddick, Paddick, Matthew
Engineering · Mathematics · #35Q30 #76N10 #76N20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1410.2811

openalex publication_date 2014/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain existence and conormal Sobolev regularity of strong solutions to\nthe 3D compressible isentropic Navier-Stokes system on the half-space with a\nNavier boundary condition, over a time that is uniform with respect to the\nviscosity parameters when these are small. These solutions then converge\nglobally and strongly in L² towards the solution of the compressible\nisentropic Euler system when the viscosity parameters go to zero.\n

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