Abstract for the talk at 29.04.2014 (16:45 h)

Oberseminar ANALYSIS - PROBABILITY

Alexei Novikov (Penn State University, Department of Mathematics)
Diffusion in fluid flows

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.