%0 Journal Article
%T Probability & incompressible Navier-Stokes equations: An overview of some recent developments
%A Edward C. Waymire
%J Mathematics
%D 2005
%I arXiv
%R 10.1214/154957805100000078
%X This is largely an attempt to provide probabilists some orientation to an important class of non-linear partial differential equations in applied mathematics, the incompressible Navier-Stokes equations. Particular focus is given to the probabilistic framework introduced by LeJan and Sznitman [Probab. Theory Related Fields 109 (1997) 343-366] and extended by Bhattacharya et al. [Trans. Amer. Math. Soc. 355 (2003) 5003-5040; IMA Vol. Math. Appl., vol. 140, 2004, in press]. In particular this is an effort to provide some foundational facts about these equations and an overview of some recent results with an indication of some new directions for probabilistic consideration.
%U http://arxiv.org/abs/math/0511266v1