Wave

This tag concerns posts about linear and nonlinear wave equations.

The "Nirenberg trick" or "Nirenberg transformation" is the observation1 that the semilinear wave equation …
Last updated on 5 min read mathematical diversions

One of my current research interests is in the geometry of constant-mean-curvature time-like submanifolds of Minkowski space. A special …
Last updated on 8 min read mathematical diversions

Numpy simulation of how classical and quantum particles interact with potential barriers.
Last updated on 8 min read mathematical diversions

Lecture slides that Gustav Holzegel and I used for the January 13-14, 2014 OXPDE Workshop at Oxford University.
Last updated on 2 min read expository

Let us consider first the linear wave equation \[ \Box u = 0\] on (1+d)-dimensional Minkowski space. A well known property of the wave …
Last updated on 6 min read expository