## PIMS Marsden Memorial Lecture - Peter Constantin

- Date: 06/10/2013
- Time: 17:00

Peter Constantin, *Princeton University*

Peter Constantin conducts research in the analysis of partial differential equations arising in turbulent convection, turbulent transport, combustion, geophysics, complex fluids and reactive flows. He is the author of 150 papers and has given invited talks at the International Congress of Mathematicians, International Congress of Mathematical Physics and International Congress of Industrial and Applied Mathematics. Prof. Constantin is a Fellow of the Institute of Physics, London, the Society of Industrial and Applied Mathematics, the American Academy of Arts and Sciences and an Inaugural Fellow of The American Mathematical Society. He is also the William R. Kenan, Jr. Professor of Mathematics and the Director of the Program in Applied and Computational Mathematics at Princeton University.

Isaac Newton Institute for Mathematical Sciences

*Nonlocal Evolution Equations*

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.

Mark J Gotay, Darryl D Holm

The Marsden Memorial Lecture Series is dedicated to the memory of Jerrold E Marsden (1942-2010), a world-renowned Canadian applied mathematician. Marsden was the Carl F Braun Professor of Control and Dynamical Systems at Caltech, and prior to that he was at the University of California (Berkeley) for many years. He did extensive research in the areas of geometric mechanics, dynamical systems and control theory. He was one of the original founders in the early 1970’s of reduction theory for mechanical systems with symmetry, which remains an active and much studied area of research today.