Gaussian beams and mountain waves
Abstract:
Gaussian beams are approximate solutions to hyperbolic partial differential equations that are concentrated on a curve in space-time. We will use superpositions of such solutions to compute the stationary in time wave field that results from steady air flow over a mountain. We will derive the system of equations that governs these mountain waves as a linearization of the basic equations of fluid dynamics and show that this system is well-posed.
Applied Mathematics Seminar