Analysis of the large-time behavior of diffusion processes and parabolic PDEs (including degenerate PDEs)
diffusion processes, stationary measures, entropy as a Lyapunov functional, log Sobolev inequalities, quasilinear diffusion equations, cross diffusion equations, large-time behavior of discrete equations
MEETING TIMES: This course takes place partly at the TU (Monday 16:00-17:30) and aprtly at the Uni (Tuesday 9:45-10:45): 2.10. at TU, remaining Oktober-appointments at Uni.
course material:
Christian SCHMEISER: "Relative entropies and hypocoercivity revisited"
Anton ARNOLD: "Large-time behavior in Fokker-Planck equations"
Ansgar JÜNGEL: "Entropy dissipation methodsfor diffusion equations"
exercise examples and final exam (only oral)
partial differential equations