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Mathematical Theory of Evolutionary Fluid-flow Structure Interactions - (Paperback)
About this item
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.
Series Title: Oberwolfach Seminars
Publisher: Springer Nature
Author: Barbara Kaltenbacher & Igor Kukavica & Irena Lasiecka & Roberto Triggiani & Amjad Tuffaha
Street Date: July 3, 2018
Item Number (DPCI): 248-09-8480
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