Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

1. Auflage 2018
ISBN: 978-3-319-92782-4
Verlag: Birkhäuser

Buch, Englisch, Band 48, 309 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 5445 g

Reihe: Oberwolfach Seminars

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Kaltenbacher, Barbara

Kukavica, Igor

Lasiecka, Irena

Triggiani, Roberto

Tuffaha, Amjad

Webster, Justin T.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

An introduction to a fluid-structure model.- Linear parabolic-hyperbolic fluid-structure interaction models.- Flow-plate interactions: well-posedness and long-time behavior.- Some aspects in nonlinear acoustics coupling and shape optimization

Über Autor(innen)

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster