Branching process associated with 2d-Navier Stokes equation
Saïd Benachour
Université Henri Poincaré, Vandoeuvre lès Nancy, FranceBernard Roynette
Université Henri Poincaré, Vandoeuvre lès Nancy, FrancePierre Vallois
Université Henri Poincaré, Vandoeuvre lès Nancy, France
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Abstract
being a bounded open set in , with regular boundary, we associate with Navier–Stokes equation in where the velocity is null on , a non-linear branching process (). More precisely: , for any test function , where , denotes the velocity solution of Navier–Stokes equation. The support of the random measure increases or decreases of one unit when the underlying process hits ; this stochastic phenomenon corresponds to the creation-annihilation of vortex localized at the boundary of .
Cite this article
Saïd Benachour, Bernard Roynette, Pierre Vallois, Branching process associated with 2d-Navier Stokes equation. Rev. Mat. Iberoam. 17 (2001), no. 2, pp. 331–373
DOI 10.4171/RMI/297