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Explore nonlocal evolution equations in this Rothschild Lecture delivered by Professor Peter Constantin from Princeton University. Delve into the Surface Quasi-Geostrophic equation (SQG) and its generalizations, examining results and applications. Learn about a nonlinear maximum principle for linear nonlocal operators and its relevance to solution regularity, long-term dynamics, and the absence of anomalous dissipation in 2D SQG. Gain insights into mathematical modeling and analysis of complex fluids and active media in evolving domains during this hour-long talk presented at the Isaac Newton Institute for Mathematical Sciences.
