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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 |
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.