Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 309
• Erscheinungstermin: 21. Juni 2018
• Englisch
• ISBN-13: 9783319927831
• Artikelnr.: 53017453

Autorenporträt

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster

Inhaltsangabe

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