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Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions / by Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | SpringerLink Bücher | Oberwolfach seminars ; Volume 48Publisher: Cham : Birkhäuser, 2018Description: Online-Ressource (XIII, 307 p, online resource)ISBN:
  • 9783319927831
Subject(s): Additional physical formats: 9783319927824 | Erscheint auch als: 978-3-319-92782-4 Druck-Ausgabe | Erscheint auch als Druck-Ausgabe: DDC classification:
  • 515.353
MSC: MSC: 35B41 | 35G50 | 35L77 | 35Q93 | 35A01 | 35A02 | 76G25 | *35-02 | 35B40 | 35Q35 | 35Q74 | 74F10 | 76Q05LOC classification:
  • QA370-380
DOI: DOI: 10.1007/978-3-319-92783-1Online resources: Summary: 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.Summary: 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 optimizationPPN: PPN: 1026848466Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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