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

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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 first argument, due to C.E. Wayne and the second author, is based on an entropy estimate for the vorticity equation in self-similar variables. The second proof is new and relies on symmetrization techniques for parabolic equations.
9 pages, no figure

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Analysis of PDEs, Mathematical Physics, 35Q30, 35A07, 76D05, 76D17

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http://salesiana.dossiersoluciones.com/handle/123456789/72892

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410344
 http://arxiv.org/abs/math/0410344

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arXiv