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:4760
														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.
					
 
			           
        