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Texas A&M University
Mathematics

Postdoc Colloquium Series

Date: October 25, 2017

Time: 4:00PM - 5:00PM

Location: Bloc 220

Speaker: Dean Baskin, TAMU

  

Title: Radiation fields for wave equations

Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a variety of contexts, starting with the familiar one dimensional wave equation and moving to the semilinear wave equation in three dimensions, the linear wave equation on the exterior of a non-rotating black hole, and then on a class of time-dependent spacetimes. Although the object of study is the same in each case, the methods used are quite different in the time-independent and time-dependent settings.