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Exponential Convergence to Equilibrium and Hypocoercivity

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If you have a question about this talk, please contact Dominic Dold.

Note unusual time.

From classical PDE analysis we know that the heat equation smoothens out any initial perturbation exponentially fast. But what happens if the smoothing only acts in a subset of directions and only at some position? For this a typical example is the Fokker-Planck equation where the noise only acts on the velocity variable. For this I will discuss conditions for exponential decay. This is an example of hypocoercivity as developed by Villani to mimimic parts of hypoellipticity.

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

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