In this paper we show how the stability of Prandtl boundary layers is linked to the stability of
shear flows in the incompressible Navier–Stokes equations. We then recall classical …

We prove local existence and uniqueness for the two‐dimensional Prandtl system in
weighted Sobolev spaces under Oleinik's monotonicity assumption. In particular we do not …

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 …

In 1904, Prandtl introduced his famous boundary layer in order to describe the behavior of
solutions of incompressible Navier Stokes equations near a boundary as the viscosity goes …

In this paper, we consider the zero-viscosity limit of the Navier–Stokes equations in a half
space with non-slip boundary condition. Based on the vorticity formulation and the use of …

We study the inviscid limit of the free boundary Navier–Stokes equations. We prove the
existence of solutions on a uniform time interval by using a suitable functional framework …

We prove that if the local second-order structure function exponents in the inertial range
remain positive uniformly in viscosity, then any spacetime L^ 2 L 2 weak limit of Leray–Hopf …

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 …

Singular perturbations occur when a small coefficient affects the highest order derivatives in
a system of partial differential equations. From the physical point of view, singular …

The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes
equations modeling viscous incompressible flows converge to solutions of the Euler …