TY - GEN N2 - 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.-- DO - 10.1007/978-3-319-92783-1 DO - doi 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.-- T1 - Mathematical theory of evolutionary fluid-flow structure interactions / AU - Kaltenbacher, Barbara, AU - Kukavica, Igor, AU - Lasiecka, I. AU - Triggiani, R. AU - Tuffaha, Amjad, AU - Webster, Justin T. VL - volume 48 CN - TA357.5.F58 ID - 843750 KW - Fluid-structure interaction KW - Differential equations, Partial. SN - 9783319927831 SN - 3319927833 TI - Mathematical theory of evolutionary fluid-flow structure interactions / LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92783-1 UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92783-1 ER -