An Invitation to Control Theoretic Challenges In Turbulence & Plasma Dynamics
Thursday, May 2, 2002 - 9:30am - 10:15am
Sivaguru Sritharan (US Navy)
Control theoretic issues for turbulence and plasma arise in a number of engineering applications including aerodynamic drag reduction, combustion control, magnetic confinement of nuclear fusion (ex: Tokamak) and active heating of the ionosphere for communication applications etc. Mathematically similar problems are also encountered in data assimilation for atmospheric/space weather prediction and other remote sensing problems of geophysics. Control theory of nonlinear (deterministic and stochastic) partial differential equations is an exciting current subject in applied mathematics. Mathematical techniques used include Hamilton-Jacobi theory in infinite dimensions, sharp Carleman type estimates and methods from stochastic analysis. In this talk we will give an introductory exposition to this field.