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Combustion in the presence of fluid flowCombustion in the presence of fluid flowCombustion in the presence of fluid flowCombustion in the presence of fluid flow
PDE Seminar| Speaker: | Sasha Kiselev, University of Wisconsin, Madison |
| Location: | 693 Kerr |
| Start time: | Thu, Jan 6 2005, 1:40PM |
Description
We review recent results on the influence of the fluid motion on reaction
processes. The framework we discuss is the passive reaction-diffusion
equation
(oe system) which is a widely used and mathematically rich model for many
processes in nature. The main focus is on quenching, when the combined
effect
of flow and diffusion leads to the extinction of the flame. We discuss how
this
process depends on the geometry, intensity and dynamical properties of the
flow.
Mathematical techniques involved are PDE estimates, comparison principles
for
the solutions, and probability tools. If time permits, results on the flame
speed up and active combustion systems will also be mentioned.