Stochastic equations with Divergence-free Drifts and its application

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.