Numerical Simulations for the Energy-Supercritical Nonlinear Wave Equation

Author

Jason Murphy, Missouri University of Science and TechnologyFollow
Yanzhi Zhang, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

J. Murphy and Y. Zhang, "Numerical Simulations for the Energy-Supercritical Nonlinear Wave Equation," Nonlinearity, vol. 33, no. 11, pp. 6195 - 6220, IOP Publishing, Nov 2020.

The definitive version is available at https://doi.org/10.1088/1361-6544/aba235

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Conditional scattering; Energy-supercritical; Nonlinear wave equations

International Standard Serial Number (ISSN)

0951-7715; 1361-6544

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 London Mathematical Society, All rights reserved.

Publication Date

01 Nov 2020