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.

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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