Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (Paperback) (ISBN-13: 9783319927824)

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 acousticsor elasticity, as they arise in the context of high intensity ultrasound applications.

Author: Barbara Kaltenbacher,Igor Kukavica,Irena Lasiecka
ISBN-10: 3319927825
ISBN-13: 9783319927824
Publisher: Birkhauser
Language: English
Published: 07/03/2018
Pages: 309
Format: Paperback
Weight: 1.14lbs
Size: 9.61h x 6.69w x 0.68d