Boundary Controllability for the Quasilinear Wave Equations Coupled in Parallel

摘要

We study the boundary exact controllability for a system of two quasilinear wave equations coupled in parallel with springs and viscous terms. We prove the locally exact controllability around superposition equilibria under some checkable geometrical conditions. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and equilibria of the system.