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

Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems
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摘要 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. 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.
作者 Xing LU
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2019年第1期79-96,共18页 数学年刊(B辑英文版)
关键词 EXACT BOUNDARY SYNCHRONIZATION QUASILINEAR HYPERBOLIC system EXACT BOUNDARY SYNCHRONIZATION by groups Exact boundary synchronization Quasilinear hyperbolic system Exact boundary synchronization by groups
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