The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary

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.

The Shapes of Spaces and the Nuclear Force

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.