Date(s) - 06/12/2016
11 h 00 min - 12 h 00 min
The Navier-Stokes-Fokker-Planck system is a complicated set of nonlinear partial differential equations arising from kinetic models of dilute polymeric fluids in statistical physics.
We shall describe several recent results concerning the existence of large-data global weak solutions to Navier–Stokes–Fokker–Planck systems and will highlight a number of significant open problems concerning the construction and mathematical analysis of numerical algorithms for these equations. From the computational point of view a major challenge is that the Fokker-Planck equation is high-dimensional.
The lecture is based on a series of joint papers with John W. Barrett (Imperial College London).