Recent Progress on Probabilistic Theories of Parabolic and Dispersive Equations
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Amphithéâtre Léon Motchane
IHES
Séminaire d'Analyse
In this talk we will review the progress on the probabilistic theory of PDEs (random data, additive and multiplicative noise etc.) in recent years. Breakthrough has been made in the subcritical regime, first in parabolic settings, and then in dispersive settings, which also leads to better understanding of a number of important models. However, a number of challenges still exist. This talk is based on joint works with Bjoern Bringmann, Andrea Nahmod, and Haitian Yue.
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Zhongkai Tao & Jian Wang