On the non-homogeneous Navier-Stokes system with Navier friction\n boundary conditions

2012/10/03 by Lucas C. F. Ferreira, Ferreira, Lucas C. F., Gabriela Planas +3
Engineering · Mathematics · #35Q30 76D03 35D30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1210.1285

openalex publication_date 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address the issue of existence of weak solutions for the non-homogeneous\nNavier-Stokes system with Navier friction boundary conditions allowing the\npresence of vacuum zones and assuming rough conditions on the data. We also\nstudy the convergence, as the viscosity goes to zero, of weak solutions for the\nnon-homogeneous Navier-Stokes system with Navier friction boundary conditions\nto the strong solution of the Euler equations with variable density, provided\nthat the initial data converge in L² to a smooth enough limit.\n

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