[GS_M_APP] Well-posedness and Large Deviations of Stochastic Lagrangian Flows with Applications to Nonlinear PDEs
ABSTRACT
In this talk, I will present recent results on the well-posedness and large deviation principles for stochastic Lagrangian flows with singular coefficients. As applications, I will discuss the vanishing viscosity limit of the two-dimensional Navier–Stokes equations and the three-dimensional Vlasov–Poisson–Fokker–Planck equation. This talk is based on joint work with Chanwoo Kim, Dohyun Kwon, and Jinsol Seo.