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Math Colloquium: Diffusion in Fluid Flows
Start Date: 11/23/2015Start Time: 3:00 PM
End Date: 11/23/2015End Time: 4:00 PM
Event Description

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:
Name: Pawel Hitczenko
Email: phitczenko@math.drexel.edu
Location:
Korman Center, Room 245, 15 South 33rd Street, Philadelphia, PA 19104
Audience:
  • Everyone
    		•

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