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# Robert Pego : Scaling dynamics of solvable models of coagulation

We study limiting behavior of rescaled size distributions in several models of clustering or coagulation dynamics, `solvable' in the sense that the Laplace transform converts them into nonlinear PDE. The scaling analysis that emerges has many connections with the classical limit theorems of probability theory, and a surprising application to the study of shock clustering in the inviscid Burgers equation with random-walk initial data. This is joint work with Govind Menon.

**Category**: Applied Math and Analysis**Duration**: 01:14:45**Date**: October 22, 2007 at 4:25 PM**Views**: 151-
**Tags:**seminar, Applied Math And Analysis Seminar

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