Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities

This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities. These problems can not be solved directly by the usual HUM method for wave equations, however, by transforming the system into a first order hyp...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2023, Vol.44 (1), p.17-34
Main Authors: Lu, Xing, Li, Tatsien
Format: Article
Language:English
Subjects:
Applications of Mathematics
Hyperbolic systems
Mathematical analysis
Mathematics
Mathematics and Statistics
Synchronism
Wave equations
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Summary:This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities. These problems can not be solved directly by the usual HUM method for wave equations, however, by transforming the system into a first order hyperbolic system, the HUM method for 1-D first order hyperbolic systems, established by Li-Lu (2022) and Lu-Li (2022), can be applied to get the corresponding results.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-023-0002-4