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# Peter Constantin, Princeton University – Brauer Lecture Day 1

## May 1, 2019 @ 4:00 pm - 5:00 pm

**Overall Title:** “Fluid nonlinearity”

**Lecture I: **Smooth and dissipative solutions of Euler equations, Navier-Stokes equations and the zero viscosity limit.

**Abstract: **I will describe briefly basic questions of the area. Then I will discuss some of the recent results: 1) smooth multiscale solutions with compactly supported velocity and 2) conditions away from the boundary for the zero viscosity limit to be given by possibly dissipative solutions of Euler equations.

**Biography:** Dr. Peter Constantin, Princeton University, Princeton, NJ.

Dr. Peter Constantin holds degrees from the University of Bucharest, where he graduated “summa cum laude” in 1975, and from the Hebrew University of Jerusalem, where he received his PhD in 1981 with Professor Shmuel Agmon as his advisor. From 1985 to 2009 he was a professor at the University of Chicago, before moving to Princeton University, where he is now the “John von Neumann Professor” of Mathematics. He has held numerous visiting positions at institutions throughout the world (Max Planck Institute for Mathematics in Bonn, Weizmann Institute, Institute for Advanced Study, École Normale Supérieure, Mittag-Leffler-Institut, RIMS, MSRI, NYU-Courant, to name a few). In 1994 he was an Invited Speaker at the International Congress of Mathematicians in Zurich. He is a Fellow of the American Mathematical Society, the American Physical Society, and SIAM. In 2010 he was elected to the American Academy of Arts and Sciences.