63 citations · 68 across the 7 of their papers we have counts for
7 papers
On the global wellposedness of the 3-D Navier-Stokes equations with large initial data
Jean-Yves Chemin, Isabelle Gallagher
We give a condition for the periodic, three dimensional, incompressible Navier-Stokes equations to be globally wellposed. This condition is not a smallness condition on the initial…
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…
Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity
Isabelle Gallagher, Thierry Gallay
We show that any solution of the two-dimensional Navier-Stokes equation whose vorticity distribution is uniformly bounded in for positive times is entirely determined by…
On the role of quadratic oscillations in nonlinear Schroedinger equations II. The -critical case
Remi Carles, Sahbi Keraani
We consider a nonlinear semi-classical Schroedinger equation for which quadratic oscillations lead to focusing at one point, described by a nonlinear scattering operator. The relev…
Asymptotic results for pressureless magneto--hydrodynamics
Isabelle Gallagher, Laure Saint-Raymond
We are interested in the life span and the asymptotic behaviour of the solutions to a system governing the motion of a pressureless gas, submitted to a strong, inhomogeneous magnet…
Weak convergence results for inhomogeneous rotating fluid equations
Isabelle Gallagher, Laure Saint-Raymond
We consider the equations governing incompressible, viscous fluids in three space dimensions, rotating around an inhomogeneous vector B(x): this is a generalization of the usual ro…