Geodesic
Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations
Hu, Long1, 2, 3  ; Li, Tatsien4  ; Qu, Peng2
1 School of Mathematics, Shandong University, Jinan, Shandong 250100, P.R. China.
2 School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China.
3 Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
4 School of Mathematical Sciences, Fudan University; Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, P.R. China.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1163-1183

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Based on the theory of semi-global classical solutions for quasilinear hyperbolic systems, under suitable hypotheses, an iteration procedure given by a unified constructive method is presented to establish the exact boundary synchronization for a coupled system of 1-D quasilinear wave equations with boundary conditions of various types.

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DOI : 10.1051/cocv/2016035
Classification : 93B05, 35L04
Keywords: Exact boundary synchronization, coupled system of quasilinear wave equations

Hu, Long 1, 2, 3 ; Li, Tatsien 4 ; Qu, Peng 2

1 School of Mathematics, Shandong University, Jinan, Shandong 250100, P.R. China.
2 School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China.
3 Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
4 School of Mathematical Sciences, Fudan University; Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, P.R. China. 
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     title = {Exact boundary synchronization for a coupled system of {1-D} quasilinear wave equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1163--1183},
     publisher = {EDP-Sciences},
     volume = {22},
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Hu, Long; Li, Tatsien; Qu, Peng. Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1163-1183. doi: 10.1051/cocv/2016035

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