181 citations
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math.AP2005★ 63 cited
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…
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…