In this talk, we will discuss some recent advances in studying nonlinear PDEs. We will introduce the Millennium prize associated with the Navier Stokes equations for incompressible fluid flow in three dimensions and discuss some ideas and related results. We will then consider Burgers equation as a one-dimensional model for understanding some of the phenomenon observed in these higher dimensional problems. In particular, we will contrast nonlinear effects with the smoothing effects of dispersion and rotation. We will also mention some opportunities for Kenyon students to participate in at OSU.
Join us on Monday, February 2, at 3:10 p.m. in Hayes 109 to hear this exciting presentation from John Holmes, associate professor of mathematics and director of the Actuarial Science MAQRM Program at The Ohio State University. We hope to see you there!