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Hilbert's sixth problem: derivation of the Boltzmann and fluid equations - Yu Deng (UChicago)
We present recent works with Zaher Hani and Xiao Ma, in which we derive the Boltzmann equation from the hard sphere dynamics in the Boltzmann-Grad limit, for the full time range in which the (strong) solution to the Boltzmann equation exists. This is done in the Euclidean setting in any dimension $d geq 2$, and in the periodic setting in ...
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