Analysis Seminar

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The Diffusion Limit from a Hard Spheres System, Via the Linear Boltzmann Equation

Speaker: Isabelle Gallagher, University Paris 7

Location: Warren Weaver Hall 1302

Date: Tuesday, April 30, 2013, 11 a.m.

Synopsis:

In this talk we report on a recent result with Laure Saint-Raymond and Thierry Bodineau in which we derive the linear Boltzmann equation from a Newtonian system of hard spheres, following Lanford's proof. This convergence holds for a very long time and enables us to obtain the heat equation in the diffusion limit.