Joint USYD-UNSW Seminar on Stochastic PDEs: Olga Aryasova (Friedrich Schiller University Jena) -- The hard membrane process and transport barriers of turbulent flows

Zoom link: https://uni-sydney.zoom.us/j/89235464889?from=addon 

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a
mathematical model of heat dispersion in a turbulent fluid with a transport barrier,
properly idealized; in a scaling limit of the turbulence model with separation of scales
we get a heat equation with space-dependent diffusion coefficient, poorly diffusing near
the barrier; then we investigate the scaling limit when the diffused barrier converges
to a sharp separating surface and describe the limit by means of the stochastic process
called Brownian motion with hard membrane.