UBC Mathematics Colloquium

Andrej Zlatos

(University of Chicago)


Reaction and Diffusion in Fluid Flow

Fri., Jan. 29, 2010, 3:00pm, MATX 1100


Reaction-diffusion equations are parabolic partial differential equations used in the modeling of phenomena such as propagation of species in an environment or spreading of flames in combustible media. Their general solutions exhibit two basic behaviors, extinction (quenching) and spreading. In this talk we will review recent progress in our understanding of how the motion of the underlying medium, modelled by a fluid flow, affects both the occurence of quenching and the speed of spreading of reaction. The problem turns out to have fruitful connections to questions about mixing effixiency of flows and homogenization of advection-diffusion operators.

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