Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. (October 2019)

• Record Type: Journal Article
• Authors: Wang, Yue; Leugering, Günter; Li, Tatsien
• Is Part Of: Nonlinear analysis. Volume 49(2019)
• Page Start: 71
• Page End: 89
• Publication Date: 2019-10
• Subjects: Coupled system of quasilinear wave equations -- Dynamical boundary condition -- Exact boundary controllability -- Hidden regularity -- Constructive method; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.02.006
• Languages: English
• ISSNs: 1468-1218

Abstract

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.