### Simple nonlinear PDEs inspired by billiards

Colloquia Seminar

15th August 2024, 4:00 pm – 5:00 pm

Fry Building, G.09

How many times can *n* billiard balls collide in the open *d*-dimensional space? I will provide some estimates. I will explain how the above question leads to a ``pinned billiard balls'' model. On a large scale, the model seems to have a hydrodynamic limit. The parameters of the conjectured limit should satisfy simple nonlinear PDEs. While the existence and properties of the conjectured hydrodynamic limit are open questions, I will provide a quite complete analysis of the conjectured PDE.

*Organiser*: Ayalvadi Ganesh

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