Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations

Hu, Long; Li, Tatsien; Qu, Peng

doi:10.1051/cocv/2016035

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.

ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1163-1183.

Résumé

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.

Reçu le : 2016-06-06
Accepté le : 2016-06-07

MR Zbl

DOI : 10.1051/cocv/2016035

Classification : 93B05, 35L04
Mots clés : Exact boundary synchronization, coupled system of quasilinear wave equations

Affiliations des auteurs :

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

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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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     zbl = {1350.93040},
     mrnumber = {3570498},
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     url = {http://archive.numdam.org/articles/10.1051/cocv/2016035/}
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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. http://archive.numdam.org/articles/10.1051/cocv/2016035/

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