Speaker
Endre Süli
(University of Oxford)
Description
Since the pioneering contributions of Werner Kuhn, Hans Kramers, Pierre-Gilles de Gennes and other scientists working at the interface of polymer chemistry and statistical physics, kinetic models have been widely and successfully used to describe the motion of polymeric fluids. During the past two decades significant progress has been made with the mathematical analysis of kinetic models of dilute polymers that involve the coupling of the incompressible or compressible Navier--Stokes equations to a Fokker--Planck equation. We shall review some of the recent developments concerning the existence of large-data global weak solutions to these models and discuss the long-time asymptotic behavior and equilibration of weak solutions.