Annals of Mathematical Sciences and Applications

Volume 9 (2024)

Number 1

A note on the family of synchronizations for a coupled system of wave equations

Pages: 125 – 140

DOI: https://dx.doi.org/10.4310/AMSA.2024.v9.n1.a4

Authors

Tatsien Li (School of Mathematical Sciences, Fudan University, Shanghai, China)

Bopeng Rao (Institut de Recherche Mathématique Avancée, Université de Strasbourg, Strasbourg, France)

Abstract

We show that a coupled system of wave equations can be exactly synchronized by $p$-groups with respect to different groupings under the same control matrix.

Keywords

family of synchronizations, coupled system of wave equations

2010 Mathematics Subject Classification

Primary 93B05, 93C20. Secondary 35L53.

This work was partially supported by the National Natural Science Foundation of China (11831011), and Fudan Scholar Program 2023.

Received 14 November 2022

Accepted 8 January 2024

Published 5 April 2024