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Nonlocal evolution equations (Rothschild Distinguished Visiting Fellow lecture)

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Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains

I will describe results concerning evolution equations involving nonlocal terms. Particular examples will include the Surface Quasi-Geostrophic equation (SQG) and its generalizations. I will discuss a nonlinear maximum principle for linear nonlocal operators and applications to questions of regularity of solutions, long time dynamics and absence of anomalous dissipation in 2D SQG .

This talk is part of the Isaac Newton Institute Seminar Series series.

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