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

Publication date: October 2019Source: Nonlinear Analysis: Real World Applications, Volume 49Author(s): Yue Wang, Günter Leugering, Tatsien LiAbstractA 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.

Source: Nonlinear Analysis: Real World Applications - March 11, 2019 Category: Research Source Type: research