I. Gallagher

activity

20022005

most citedOn the global wellposedness of the 3-D Navier-Stokes equations with large initial data

63 citations · 68 across the 7 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

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…

math.AP2004

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 $L^{1} (R^{2})$ for positive times is entirely determined by…

math.AP2004

On the role of quadratic oscillations in nonlinear Schroedinger equations II. The $L^{2}$ -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…

On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity

Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity

On the role of quadratic oscillations in nonlinear Schroedinger equations II. The L2-critical case

On the role of quadratic oscillations in nonlinear Schroedinger equations II. The $L^{2}$ -critical case