Acknowledgement of priority concerning the article 'A probabilistic interpretation and stochastic particle approximations of the three dimensional Navier-Stokes equation' Prob. Th. Rel. Fields. 136:102-156 (2006)

摘要

It is claimed in the abstract of [2] that the results in thatwork “provide the first completeproof of convergence of a stochastic vortex method for the Navier–Stokes equation in three dimensions, and rectify the algorithm conjectured by Esposito and Pulvirenti in 1989.” The justification given for that claim was Remark 5.1 in [2], where I discuss why the well posedness of a nonlinear process considered in [1] seemed to me not possible to establish.