학과 세미나 및 콜로퀴엄
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I will discuss recent progress on the vanishing-viscosity limit of the two-dimensional Navier–Stokes equation. Our approach is Lagrangian and probabilistic:
1. We develop a stochastic counterpart of the DiPerna–Lions theory to construct and control stochastic Lagrangian flows for the viscous dynamics.
2. We also establish a large-deviation principle that quantifies convergence to the Euler dynamics.
This talk is based on joint work with Chanwoo Kim, Dohyun Kwon, and Jinsol Seo.