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Stochastic equations with Divergence-free Drifts and its application

来源: 11-02

时间:Thur., 4:00-5:00 pm, Nov. 2, 2023

地点:C548, Tsinghua University Shuangqing Complex Building A

组织者:吴昊,杨帆,姜建平,顾陈琳

主讲人:Guohuan Zhao 赵国焕 AMSS

Abstract 

This talk focuses on time-inhomogeneous stochastic equations driven by additive noises with divergence-free drifts in Lorentz space $L^{\infty}(0,T;L^{d,\infty}(\mR^d))$. We will cover conditional and unconditional well-posedness, along with Aronson type estimates, followed by practical applications to the McKean-Vlasov equation with singular interaction kernels.


About the speaker 

I am currently an Associate Professor at the Academy of Mathematics and Systems Science (AMSS) of CAS. Before that, I was a postdoctoral researcher in the Department of Mathematics at Bielefeld University.

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