The anomalous regularization and weak uniqueness of stochastic 2D fluid models on the torus
报告人：唐斌博士（南京理工大学）
时间：2026-07-06 10:00-11:00
地点：智华楼217
Abstract: We consider stochastic 2D Euler equations with L2 initial data on the torus, driven by Kraichnan transport noise with parameter α ∈ (0, 1/2). Thanks to the noise, the equation admits weak solutions with anomalous regularity, roughly speaking, the H1−α norm of solution is square integrable in time. This enables us to prove the anomalous dissipation and uniqueness in law of weak solutions through Girsanov transform. Similar results hold for stochastic 2D mSQG equations with suitably chosen parameters. The talk is based on a joint work with Dejun Luo.
