Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions

Wang Y, Leugering G, Li T (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Nonlinear Analysis-Real World Applications Elsevier

Book Volume: 49

Pages Range: 71-89

DOI: 10.1016/j.nonrwa.2019.02.006

Abstract

A constructive method with modular structure is used to obtain the local exact boundary controllability for a coupled system of quasilinear wave equations with local or non-local dynamical boundary conditions. Some applications are given for the chain-like or star-like system of strings coupled via elastic springs, and of strings coupled via Maxwell-type and Kelvin-type viscoelastic springs, respectively.

Authors with CRIS profile

Yue Wang
Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Fudan University / 复旦大学 CN China (CN)

How to cite

APA:

Wang, Y., Leugering, G., & Li, T. (2019). Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. Nonlinear Analysis-Real World Applications, 49, 71-89. https://dx.doi.org/10.1016/j.nonrwa.2019.02.006

MLA:

Wang, Yue, Günter Leugering, and Tatsien Li. "Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions." Nonlinear Analysis-Real World Applications 49 (2019): 71-89.

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