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Moments bounds for Smoluchowski's equation
Probability| Speaker: | Fraydoun Rezakhanlou, UC Berkeley |
| Location: | 2112 MSB |
| Start time: | Mon, Oct 9 2006, 3:10PM |
Description
The Smoluchowski coagulation equation is a coupled system of
partial differential equations that describes the
evolving densities of a system of diffusing particles that are prone to
coagulate in pairs. Under some natural conditions on the collision
propensities and the diffusion rates, one obtains various bounds on the
moments of the densities. As a consequence, we infer that these conditions
are sufficient to ensure uniqueness of a weak solution and its conservation
of mass. (This is a joint work with Alan Hammond.)
Special time, special day, and different room!