Seminar Talk

Control and Filtering Theory for Navier-Stokes Equation

and

Partial Differential Equations in Infinite Dimensions

S. S. Sritharan

Department of Mathematics

University of Wyoming

In this talk we will describe the connection between feedback control theory of Navier-Stokes equations and Hamilton-Jacobi theory in infinite dimensions. Solvability of these first and second order (for stochastic Navier-Stokes) Hamilton-Jacobi equations in terms of viscosity solutions has been established. We will also describe estimation theory for turbulence and resultant measure-valued differential equation on Hilbert spaces.