2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing

Details 2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing 2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing

2011-04-29

arxiv.org/abs/1104.5567v1

Mathematics

Probability

Scientific paper

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.

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