Nonlocal evolution equations (Rothschild Distinguished Visiting Fellow lecture)
Seminar Room 1, Newton Institute
AbstractI 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.
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