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Seminar

The global well posedness of the Boltzmann hierarchy

Speaker
Joseph Miller (Stanford)
Date
Tue, Jan 28 2025, 4:00pm
Location
384H
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I will discuss the global existence and uniqueness for a generalization of the Boltzmann equation called the Boltzmann hierarchy. This hierarchy arises when considering non-chaotic initial data for an infinite gas of interacting hard spheres. It is also an intermediate equation employed when deriving the Boltzmann equation from finite hard-sphere particle dynamics. A novel part of the proof employs a combinatorial technique known as the Klainerman-Machedon board game argument, employed originally in the context of dispersive equations. This is joint work with Ampazoglou, Pavlovic, and Taskovic.