Mathematical theory of evolutionary fluid-flow structure interactions / Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster.

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Mathematical theory of evolutionary fluid-flow structure interactions / Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster.

9783319927831 (electronic book)
3319927833 (electronic book)
9783319927824

Cham, Switzerland : Birkhäuser, 2018.

English

1 online resource (xiii, 307 pages).

10.1007/978-3-319-92783-1 doi

TA357.5.F58

620.1/064

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.-- Provided by publisher.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed June 28, 2018).

Oberwolfach seminars ; 48.

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