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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…