Christophe Prange

Asymptotic Analysis of Boundary Layer Correctors in Periodic Homogenization

This paper is devoted to the asymptotic analysis of boundary layers in periodic homogenization. We investigate the behavior of the boundary layer corrector, defined in the half-space

Uniform Lipschitz Estimates in Bumpy Half-Spaces

\Omega_{n,a}:=\{y\cdot n-a>0\}

Well-posedness of the Stokes–Coriolis system in the half-space over a rough surface

, far away from the boundary and prove the convergence toward a constant vector field, the boundary layer tail. This problem happens to depend strongly on the way the boundary

Quantitative Analysis of Boundary Layers in Periodic Homogenization

\partial\Omega_{n,a}

Newtonian Limit for Weakly Viscoelastic Fluid Flows

intersects the underlying microstructure. Our study complements the previous results obtained on the one hand for

First-order expansion for the Dirichlet eigenvalues of an elliptic system with oscillating coefficients

n\in\mathbb R\mathbb Q^d

Local energy weak solutions for the Navier-Stokes equations in the half-space

and on the other hand for

Estimates for the Navier-Stokes equations in the half-space for non localized data

n\notin\mathbb R\mathbb Q^d

Infinite energy solutions to the Navier-Stokes equations in the half-space and applications

satisfying a small divisors assumption. We tackle the case of arbitrary

On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain

n\notin\mathbb R\mathbb Q^d