Exact Boundary Controllability for a System of Coupled Wave Equations in Noncylindrical Domains

This paper concerns to study an exact boundary controllability problem for a system of m$$ m $$ coupled wave equations in domains with moving boundaries. Such systems model the vibrations of m$$ m $$ identical flexible bodies coupled in parallel by means of an elastic layer where their boundaries present a bounded movement. The control is square integrable and acts on all moving boundary, and it is obtained by means of conormal derivative of the solution. The controllability method used here is that one established by D. L. Russell.