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Stokes and Navier–Stokes equations with Navier boundary condition

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Published in 2019 at "Comptes Rendus Mathematique"

DOI: 10.1016/j.crma.2018.12.002

Abstract: We study the stationary Stokes and Navier-Stokes equations with non-homogeneous Navier boundary condition in a bounded domain $\Omega\subset\mathbb{R}^{3}$ of class $\mathcal{C}^{1,1}$. We prove existence, uniqueness of weak and strong solutions in $\mathbf{W}^{1,p}(\Omega)$ and $\mathbf{W}^{2,p}(\Omega)$ for… read more here.

Keywords: boundary condition; stokes equations; stokes navier; navier stokes ... See more keywords