Scalings and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations

Series
Stochastics Seminar
Time
Friday, April 7, 2017 - 1:05pm for 1 hour (actually 50 minutes)
Location
Skiles 270
Speaker
David Herzog – Iowa State University – dherzog@iastate.eduhttp://orion.math.iastate.edu/dherzog/
Organizer
Michael Damron
We discuss scaling methods which can be used to solve low mode control problems for nonlinear partial differential equations. These methods lead naturally to a infinite-dimensional generalization of the notion of saturation, originally due to Jurdjevic and Kupka in the finite-dimensional setting of ODEs. The methods will be highlighted by applying them to specific equations, including reaction-diffusion equations, the 2d/3d Euler/Navier-Stokes equations and the 2d Boussinesq equations. Applications to support properties of the laws solving randomly-forced versions of each of these equations will be noted.