Seminar "On Diffusive and Stochastic Transport barriers" by Dr. Florian Kogelbauer
Dr. Florian Kogelbauer
National Institute of Advanced Industrial Science and Technology, Sendai, Japan
We present a theory of transport extremizers for scalar advection-diffusion equations and its applications to geophysical fluid flow data. Based on a variational principle in conjunction with a singular perturbation analysis of the corresponding PDE, we derive a concentration-independent description of transport barriers as closed trajectories of a dual differential system. This allows us to develop a streamlined numerical scheme for the detection of coherent structures in various flows on the fluid earth such as Agulhas rings.