Numerical simulations for the energy-supercritical nonlinear wave equation
Numerical Analysis
2020-10-28 v2 Numerical Analysis
Analysis of PDEs
Abstract
We carry out numerical simulations of the defocusing energy-supercritical nonlinear wave equation for a range of spherically-symmetric initial conditions. We demonstrate numerically that the critical Sobolev norm of solutions remains bounded in time. This lends support to conditional scattering results that have been recently established for nonlinear wave equations.
Cite
@article{arxiv.1905.10446,
title = {Numerical simulations for the energy-supercritical nonlinear wave equation},
author = {Jason Murphy and Yanzhi Zhang},
journal= {arXiv preprint arXiv:1905.10446},
year = {2020}
}
Comments
28 pages, 13 figures. New references and new cases added