@article{843750, author = {Kaltenbacher, Barbara, and Kukavica, Igor, and Lasiecka, I. and Triggiani, R. and Tuffaha, Amjad, and Webster, Justin T.}, url = {http://library.usi.edu/record/843750}, title = {Mathematical theory of evolutionary fluid-flow structure interactions /}, abstract = {This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.--}, doi = {https://doi.org/10.1007/978-3-319-92783-1}, recid = {843750}, pages = {1 online resource (xiii, 307 pages).}, }