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Simple nonlinear PDEs inspired by billiards

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  • UserKrzysztof Burdzy (University of Washington)
  • ClockThursday 08 August 2024, 11:30-12:30
  • HouseExternal.

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SSDW02 - Stochastic reflection

How many times can $n$ billiard balls collidein the open $d$-dimensional space? I will provide someestimates. I will explain how the above question leadsto a ``pinned billiard balls’’ model. On a large scale,the model seems to have a hydrodynamic limit.The parameters of the conjectured limit should satisfysimple nonlinear PDEs. While the existence and propertiesof the conjectured hydrodynamic limit are open questions,I will provide a quite complete analysis of the conjectured PDEs.

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

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