2 papers
math.AP2009
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
Guy Barles, Francesca Da Lio, Pierre-Louis Lions +1
We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems"…
math.AP2004
On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity
Isabelle Gallagher, Thierry Gallay, Pierre-Louis Lions
We propose two different proofs of the fact that Oseen's vortex is the unique solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity. The fir…