GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS

doi:10.1007/s10473-025-0409-y

数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (4): 1391-1404.doi: 10.1007/s10473-025-0409-y

GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS

Dongbing ZHA^*, Yue ZHAO

School of Mathematics and Statistics, Donghua University, Shanghai 201620, China

收稿日期:2024-04-25 修回日期:2024-07-03 出版日期:2025-10-10 发布日期:2025-10-10

GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS

Dongbing ZHA^*, Yue ZHAO

School of Mathematics and Statistics, Donghua University, Shanghai 201620, China

Received:2024-04-25 Revised:2024-07-03 Online:2025-10-10 Published:2025-10-10
Contact: ^*Dongbing ZHA, E-mail: ZhaDongbing@163.com
About author:Yue ZHAO, E-mail: yuezhao123123@163.com
Supported by:
National Natural Science Foundation of China (12371217) and the Fundamental Research Funds for the Central Universities (2232022D-27).

摘要/Abstract

摘要： For multidimensional _rst order semilinear hyperbolic systems of diagonal form without self-interaction, we show the global nonlinear stability of traveling wave solutions.

关键词: semilinear hyperbolic systems, traveling wave, global stability

Abstract: For multidimensional _rst order semilinear hyperbolic systems of diagonal form without self-interaction, we show the global nonlinear stability of traveling wave solutions.

Key words: semilinear hyperbolic systems, traveling wave, global stability

Dongbing ZHA, Yue ZHAO. GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS[J]. 数学物理学报(英文版), 2025, 45(4): 1391-1404.

Dongbing ZHA, Yue ZHAO. GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS[J]. Acta mathematica scientia,Series B, 2025, 45(4): 1391-1404.

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GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS

GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS

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