In these materials from the conference of May-June 2003, contributors of these 23 papers describe their work at the theoretical and application levels in this discipline that has recently expanded considerably by more realistic models. General topics include elasticity, thermo-elasticity, aero-elasticity, interactions between fluids and elastic structures, and fluid dynamics, parabolic systems, dynamical Lame systems, linear and non-linear hyperbolic equations, and pseudo-differential operators on a manifold