Fluids and periodic structures

The main emphasis of this book lies in understanding the vibrations of fluid-solid structures, in which mechanical bodies interact with a surrounding fluid. Deriving models representing these vibrations and validating them are principal aims, as is the study of their asymptotic behaviour. The authors introduce here a non-standard homogenization technique and apply it to the class of eigenvalue problem alluded to above. It is based on the so-called Bloch wave decomposition, a technique that is often used in physics. This volume also includes a systematic presentation of two-scale convergence analysis which is a modern approach to treat homogenization problems.