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Convergence in relative entropy for kinetic equations

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If you have a question about this talk, please contact Kasia Wyczesany.

I’m going to talk about convergence to equilibrium measured in relative entropy. I will discuss how to show convergence in relative entropy for some simple equations found in kinetic theory. I will briefly discuss the standard methods for proving convergence in relative entropy and also what happens when you introduce spatial inhomogeneity by adding a transport term. The problem of showing convergence to equilibrium for spatially inhomogeneous kinetic equations led Villani and others to introduce the theory of hypocoercivity. Hopefully, I will try and explain the problem that hypocoercivity seeks to solve and how to show convergence to equilibrium in some of these cases.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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