Dean-Kawasaki Equation with Singular Non-local Interactions: Well-posedness and Large Deviations
发布时间:2022年09月26日
浏览次数:3437
发布者: He Liu
主讲人: Rangrang Zhang (Beijing Institute of Technology)
活动时间: 从 2022-09-29 16:00 到 17:30
场地: 北京国际数学研究中心,全斋全29教室
We study Dean-Kawasaki equation with non-local singular interaction and correlated noise, which describes the evolution of the density function for a system of finitely many particles governed by Langevin dynamics. Due to the presence of non-local interaction term, the noise with the form of a stochastic conservation law and the lack of Lipschitz continuity of the noise, the well-posedness and large deviations are proved in the framework of renormalized stochastic kinetic solutions.