We consider the Navier‐Stokes equations for viscous incompressible flows in the half‐plane
under the no‐slip boundary condition. By using the vorticity formulation we prove the local …

We investigate the stability of boundary layer solutions of the 2-dimensional incompressible
Navier–Stokes equations. We consider shear flow solutions of Prandtl type: u ν (t, x, y)=(UE …

We find a new class of data for which the Prandtl boundary layer equations and the
hydrostatic Euler equations are locally in time well-posed. In the case of the Prandtl …

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 consider the convergence in the $ L^ 2$ norm, uniformly in time, of the Navier-Stokes
equations with Dirichlet boundary conditions to the Euler equations with slip boundary …

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 …

We consider the zero viscosity limit of the incompressible Navier–Stokes equations with non-
slip boundary condition in R+ 3 for the initial vorticity located away from the boundary. Unlike …

We prove that any weak space-time L^ 2 L 2 vanishing viscosity limit of a sequence of strong
solutions of Navier–Stokes equations in a bounded domain of\mathbb R^ 2 R 2 satisfies the …

We address the inviscid limit for the Navier–Stokes equations in a half space, with initial
datum that is analytic only close to the boundary of the domain, and that has Sobolev …