Abstract. The focus of this work is on a two-dimensional stochastic vorticity equation for an incompressible homogeneous viscous fluid. We consider a signed measure-valued stochastic partial differential equation for a vorticity process based on the Skorohod—Ito evolution of a system of N randomly moving point vortices. A nonlinear filtering problem associated with the evolution of the vorticity is considered and a corresponding Fujisaki—Kallianpur—Kunita stochastic differential equation for the optimal filter is derived.
Applied Mathematics and Optimization – Springer Journals
Published: Dec 19, 2002
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