Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

Genealogy of shocks in Burgers turbulence with white noise initial velocity

Auteur(s):

Code(s) de Classification MSC:

Résumé: As time passes, the shocks of the solution of the inviscid Burgers equation aggregate. We characterize, in the case of white noise initial velocity, the stochastic fragmentation process obtained when time runs backwards. In other words, we specify the law of the genealogy of the shocks of the Burgers turbulence with white noise initial velocity.

Mots Clés: Burgers turbulence ; sticky particles ; white noise initial velocity ; Brownian excursion

Date: 2000-07-10

Prépublication numéro: PMA-605

Postscript file : PMA-605.ps