Let Ω⊂ R3 be a bounded smooth domain satisfying the topological condition H1 (Ω, R)= 0.
We investigate the solvability, regularity and the vanishing viscosity limit of the …

We prove that there exists an interval of time which is uniform in the vanishing viscosity limit
and for which the Navier–Stokes equation with the Navier boundary condition has a strong …

We tackle the issue of the inviscid limit of the incompressible Navier–Stokes equations when
the Navier slip-with-friction conditions are prescribed on impermeable boundaries. We justify …

We consider solutions to the Navier--Stokes equations with Navier boundary conditions in a
bounded domain Ω in R^2 with a C^2-boundary Γ. Navier boundary conditions can be …

In most results concerning bounds on the heat transport in the Rayleigh-B\'{e} nard
convection problem no-slip boundary conditions for the velocity field are assumed …

The main purpose of this study is to apply the slip with friction boundary condition on a
turbulence model, namely the Navier–Stokes-α model (NS-α). To achieve this, the …

Lp-theory for Stokes and Navier–Stokes equations with Navier boundary condition -
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We consider the evolutionary Navier–Stokes equations with a Navier slip-type boundary
condition, and study the convergence of the solutions, as the viscosity goes to zero, to the …

We study the stationary Stokes and Navier-Stokes equations with nonhomogeneous Navier
boundary conditions in a bounded domain Ω⊂ R 3 of class C 1, 1. We prove the existence …

Abstract We consider the Navier–Stokes equations with Navier friction boundary conditions
and prove two results. First, in the case of a bounded domain we prove that weak Leray …