Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems |
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Authors: | Lu Xing |
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Institution: | School of Mathematics, Southeast University, Nanjing 210096,China; School of Mathematical Sciences, Fudan University,Shanghai 200433, China. |
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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. |
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Keywords: | Exact boundary synchronization Quasilinear hyperbolic system Exact boundary synchronization by groups |
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