## A Deterministic Sample of Bourgain’s Work

Peter Sarnak and Avi Wigderson

May 31, 2019

Peter Sarnak and Avi Wigderson

May 31, 2019

Gigliola Staffilani

May 31, 2019

Vitali Milman

May 31, 2019

May 31, 2019

Fei Wang

University of Maryland

May 30, 2019

We address the inviscid limit for the Navier-Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and has finite Sobolev regularity in the complement. We prove that for such data the solution of the Navier-Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

Robbert Dijkgraaf, Director and Leon Levy Professor IAS; Edward Witten, Charles Simonyi Professor, School of Natural Sciences IAS

Institute for Advanced Study

May 29, 2019

The Universe Speaks in Numbers

Robbert Dijkgraaf

Director and Leon Levy Professor, Institute for Advanced Study

May 29, 2019

Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Natalie Wolchover, Senior Writer, Quanta Magazine; Karen Uhlenbeck, Visiting Professor, School of Mathematics IAS; Freeman Dyson, Professor Emeritus, School of Natural Sciences IAS

May 29, 2019

Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Gregory Moore

Professor, Physics and Astronomy, Rutgers University

May 29, 2019

Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Graham Farmelo

Science Writer, Fellow Cambridge

May 29, 2019