Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

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

Buch | Softcover

XIII, 309 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-92782-4 (ISBN)

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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.

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

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

Erscheinungsdatum	08.07.2018
Reihe/Serie	Oberwolfach Seminars
Zusatzinfo	XIII, 309 p.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	546 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	flow-structure interaction • Fluid-Structure Interaction • mathematical theory of evolutionary • nonlinear structural acoustic interaction • Oberwolfach • Partial differential equations
ISBN-10	3-319-92782-5 / 3319927825
ISBN-13	978-3-319-92782-4 / 9783319927824
Zustand	Neuware