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Tuesday, January 15, 2019 - 15:00 in V2-210/216


A gradient flow approach to the Boltzmann equation

A talk in the Oberseminar Analysis series by
Matthias Erbar

Abstract: In this talk I will present an interpretation of the spatially homogeneous Boltzmann equation as the gradient flow of the entropy. This gradient flow structure relies on a geometry on the space of probability measures that takes the collision process between particles into account. This point of view leads to a new approach to proving propagation of chaos for Kac's random walk and its convergence to the Boltzmann equation.



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