Speaker: Peter Constantin

Title: Regularity for some nonlinear Fokker-Planck Navier-Stokes systems

Abstract: I will describe coupled systems in which microscopic stresses drive Navier-Stokes equations. The stresses are obtained from solutions of a nonlocal, nonlinear Fokker-Planck equation driven by the fluid. The non-trivial energetics and multiple steady solutions. The strategy of proof of regularity yields some bounds for the Navier-Stokes with nearly singular forcing.