TY - BOOK ID - 32941458 TI - Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions AU - Kaltenbacher, Barbara. AU - Kukavica, Igor. AU - Lasiecka, Irena. AU - Triggiani, Roberto. AU - Tuffaha, Amjad. AU - Webster, Justin T. PY - 2018 SN - 3319927833 3319927825 PB - Cham : Springer International Publishing : Imprint: Birkhäuser, DB - UniCat KW - Mathematics. KW - Partial differential equations. KW - Partial Differential Equations. KW - Partial differential equations KW - Math KW - Science KW - Differential equations, partial. KW - Fluid-structure interaction KW - Differential equations, Partial. UR - https://www.unicat.be/uniCat?func=search&query=sysid:32941458 AB - 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. ER -