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| Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems |
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Citation： |
Xing LU.Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics B,2019,40(1):79~96 |
| Page view： 1140
Net amount： 718 |
Authors： |
Xing LU; |
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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 |
Classification： |
35B37, 93B05, 93B07 |
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