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Spatially dependent collision rates in the Goldstein-Taylor model (and possibly other spatially inhomogeneous kinetic equations)

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FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

This is based on a joint work with Helge Dietert. I will discuss the problem of hypocoercivity when the rate of collisions depends on the spatial variable, and the connection of this problem to control theory. In a recent work with Helge Dietert we have been focussing on the problem of finding the spatially dependent jump rate which maximises the rate of convergence to equilibrium. I will discuss our results for the simple Goldstein-Taylor model and our hopes for more complicated models. I will try and end with discussing a number of out unanswered problems, so come along and so you can tell me what you think the answers are!

This talk is part of the Isaac Newton Institute Seminar Series series.

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