Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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The global well posedness of the Boltzmann hierarchy near vacuum
I will discuss the global existence and uniqueness theory for a statistical 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, and in Lanford's derivation of the Boltzmann equation from the BBGKY hierarchy. A novel part of the uniqueness 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.
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