222 citations · 909 across the 49 of their papers we have counts for
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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 for positive times is entirely determined by…
math.AP2004★ 135 cited
Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
Thierry Gallay, C. Eugene Wayne
Both experimental and numerical studies of fluid motion indicate that initially localized regions of vorticity tend to evolve into isolated vortices and that these vortices then se…