Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

• Broschiertes Buch

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

Produktdetails

• Oberwolfach Seminars 48
• Verlag: Birkhäuser / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-92782-4
• 1st ed. 2018
• Seitenzahl: 324
• Erscheinungstermin: 3. Juli 2018
• Englisch
• Abmessung: 240mm x 168mm x 18mm
• Gewicht: 546g
• ISBN-13: 9783319927824
• ISBN-10: 3319927825
• Artikelnr.: 52475758

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