Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (Oberwolfach Seminars, 48)
ISBN-13:
9783319927824
ISBN-10:
3319927825
Edition:
1st ed. 2018
Author:
Irena Lasiecka, Roberto Triggiani, Barbara Kaltenbacher, Igor Kukavica, Amjad Tuffaha, Justin T. Webster
Publication date:
2018
Publisher:
Birkhäuser
Format:
Paperback
322 pages
FREE US shipping
Book details
ISBN-13:
9783319927824
ISBN-10:
3319927825
Edition:
1st ed. 2018
Author:
Irena Lasiecka, Roberto Triggiani, Barbara Kaltenbacher, Igor Kukavica, Amjad Tuffaha, Justin T. Webster
Publication date:
2018
Publisher:
Birkhäuser
Format:
Paperback
322 pages
Summary
Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (Oberwolfach Seminars, 48) (ISBN-13: 9783319927824 and ISBN-10: 3319927825), written by authors
Irena Lasiecka, Roberto Triggiani, Barbara Kaltenbacher, Igor Kukavica, Amjad Tuffaha, Justin T. Webster, was published by Birkhäuser in 2018.
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Description
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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