3 papers
math.AP2021
Global stability for a nonlinear system of anisotropic wave equations
John Anderson
In this paper, we initiate the study of global stability for anisotropic systems of quasilinear wave equations. Equations of this kind arise naturally in the study of crystal optic…
math.AP2020
Stability and instability of traveling wave solutions to nonlinear wave equations
John Anderson, Samuel Zbarsky
In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which a…
math.AP2019
Global stability for nonlinear wave equations with multi-localized initial data
John Anderson, Federico Pasqualotto
In this paper, we initiate the study of the global stability of nonlinear wave equations with initial data that are not required to be localized around a single point. More precise…