ICM大会报告——Dynamics of dilute gases: a statistical approach
报告人:Laure Saint-Raymond (Institut des Hautes Etudes Scientifiques)
时间:2022-07-09 17:30-18:30
地点:Room 1560, Sciences Building No. 1
Abstract: The evolution of a gas can be described by different models depending on the observation scale. A natural question, raised by Hilbert in his sixth problem, is whether these models provide consistent predictions. In particular, for dilute gases, it is expected that continuum laws of kinetic theory can be obtained directly from molecular dynamics governed by Newton’s fundamental principle. In the case of hard sphere gases, Lanford showed that the Boltzmann equation emerges as the law of large numbers in the low density limit, at least for very short times. The objective of this talk is to present this limiting process, including recent results on the fluctuations.