Abstract
The actuator B(t) is a moving object in D and we consider the wave equation in the non cylindrical domain U = tx(D\\B(t)). The boundary S(t) of B(t) is decomposed in three parts : S(t) = S_(t) U S_(t) U S0(t) with respect to the sign of the normal speed on S(t). Homogeneous Neumann and Dirichlet conditions are imposed respectively on S_(t.) and S_(t.) U S0(t). By penalisation and Galerkin technique we prove the existence and the uniqueness of solutions. We discuss only the energy dissipation associated to that, passive actuator.
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