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Chinese Annals of Mathematics, Series B

, Volume 40, Issue 1, pp 79–96 | Cite as

Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems

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Abstract

In this paper, the synchronization for a kind of first order quasilinear hyperbolic system is taken into account. In this system, all the equations share the same positive wave speed. To realize the synchronization, a uniform constructive method is adopted, rather than an iteration process usually used in dealing with nonlinear systems. Furthermore, similar results on the exact boundary synchronization by groups can be obtained for a kind of first order quasilinear hyperbolic system of equations with different positive wave speeds by groups.

Keywords

Exact boundary synchronization Quasilinear hyperbolic system Exact boundary synchronization by groups 

2000 MR Subject Classification

35B37 93B05 93B07 

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Notes

Acknowledgement

The author is grateful to Prof. Tatsien Li for his instruction.

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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of MathematicsSoutheast UniversityNanjingChina
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina

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