Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Homogénéisation variationnelle des équations d’Euler
Homogeneous and isotropic statistical solutions of the Navier-Stokes equations.
Homogenization of the compressible Navier–Stokes equations in a porous medium
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
Homogenization of the compressible Navier–Stokes equations in a porous medium
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ε) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions