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Artwork for Simons Foundation Lectures
Simons Foundation Lectures · Yesterday · 42 min

ICM 2026 Invited Section Lecture - Nicolas Perkowski

Energy Lagrangian Flows for Singular SPDEs and Applications Energy Lagrangian flows are a formulation of the Lagrangian flows of Di Perna-Lions and their stochastic counterparts by Le Bris-Lions and Figalli in the setting of singular stochastic dynamics, partly in regimes where classical and pathwise theories break down. A key notion is "probabilistic subcriticality": even for scaling critical or supercritical equations, regularity of the law combined with coercivity of the generator may yield existence and uniqueness. I will outline the construction and well-posedness results, the relation to pathwise constructions, and applications to hydrodynamics and numerical analysis. Uploaded 05-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices

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Energy Lagrangian Flows for Singular SPDEs and Applications

Energy Lagrangian flows are a formulation of the Lagrangian flows of Di Perna-Lions and their stochastic counterparts by Le Bris-Lions and Figalli in the setting of singular stochastic dynamics, partly in regimes where classical and pathwise theories break down. A key notion is "probabilistic subcriticality": even for scaling critical or supercritical equations, regularity of the law combined with coercivity of the generator may yield existence and uniqueness. I will outline the construction and well-posedness results, the relation to pathwise constructions, and applications to hydrodynamics and numerical analysis.

Uploaded 05-10-26

Learn more about your ad choices. Visit megaphone.fm/adchoices

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