Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems
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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.
KeywordsExact boundary synchronization Quasilinear hyperbolic system Exact boundary synchronization by groups
2000 MR Subject Classification35B37 93B05 93B07
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The author is grateful to Prof. Tatsien Li for his instruction.
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