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Reaction-diffusion fronts in flows: speed-up and quenching


Speaker: Leonid Ryzhik, University of Chicago
Location: 693 Kerr
Start time: Mon, Jan 6 2003, 4:10PM

Traveling waves in reaction-diffusion equations have been very useful in modeling various propagation phenomena in physics, biology and other sciences. Recently there has been a lot of mathematical works on the possible effect of a fluid flow or wind on front propagation, when the flow is prescribed. Such a flow may significantly enhance the front speed as well as extinguish a flame depending on the geometry of the flow, its amplitude, and the relation of the flow scales to those of the reaction front. We will review our results that exhibit and quantify these phenomena in shear, cellular and other flows. We will also discuss our recent results in the analysis of the reactive Boussinesq system when the flow is generated by the temperature differences.

3:45 Refreshments will be served before the talk in 551 Kerr Hall