Math Colloquium: Diffusion in Fluid Flows

Monday, November 23, 2015

3:00 PM-4:00 PM

Alexei Novikov, Pennsylvania State University

Abstract: Enhancement of diffusion and reaction processes by advection is a classical subject that has been extensively studied by both physicists and mathematicians. In this talk I will consider reaction-diffusion on a bounded domain in the presence of a fast incompressible flow. I will also consider convective systems in a bounded domain, in which viscous fluids described by the Stokes system are coupled using the Boussinesq approximation to a reaction-advection-diffusion equation for the temperature. For such systems enhancement of diffusion implies, in particular, that the explosion threshold for power-like nonlinearities tends to infinity in the large Rayleigh number limit.

Contact Information

Pawel Hitczenko
phitczenko@math.drexel.edu