%0 Journal Article
%T 2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing
%A Jinniao Qiu
%A Shanjian Tang
%A Yuncheng You
%J Mathematics
%D 2011
%I arXiv
%X The paper is concerned with the existence and uniqueness of a strong solution to a two-dimensional backward stochastic Navier-Stokes equation with nonlinear forcing, driven by a Brownian motion. We use the spectral approximation and the truncation and variational techniques. The methodology features an interactive analysis on basis of the regularity of the deterministic Navier-Stokes dynamics and the stochastic properties of the It\^o-type diffusion processes.
%U http://arxiv.org/abs/1104.5567v1