Branching process associated with 2d-Navier Stokes equation
- Autores: Pierre Vallois, Said Benachour, Bernard Roynette
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 17, Nº 2, 2001, págs. 331-374
- Idioma: inglés
- DOI: 10.4171/rmi/297
- Títulos paralelos:
- Proceso de ramificación asociado con la ecuación de Navier-Stokes en dos dimensiones
- Enlaces
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Resumen
O being a bounded open set in R·, with regular boundary, we associate with Navier-Stokes equation in O where the velocity is null on ?O, a non-linear branching process (Yt, t = 0). More precisely: E?0(áh,Ytñ) = á?,hñ, for any test function h, where ? = rot u, u denotes the velocity solution of Navier-Stokes equation. The support of the random measure Yt increases or decreases in one unit when the underlying process hits ?O; this stochastic phenomenon corresponds to the creation-annihilation of vortex localized at the boundary of O.
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