Recent progress on geometric wave equations

PDE Seminar
Wednesday, April 6, 2016 - 2:05pm
1 hour (actually 50 minutes)
Skiles 270
University of California, Berkeley
The subject of this talk is wave equations that arise from geometric considerations. Prime examples include the wave map equation and the Yang-Mills equation on the Minkowski space. On one hand, these are fundamental field theories arising in physics; on the other hand, they may be thought of as the hyperbolic analogues of the harmonic map and the elliptic Yang-Mills equations, which are interesting geometric PDEs on their own. I will discuss the recent progress on the problem of global regularity and asymptotic behavior of solutions to these PDEs.