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  • Textbook
  • © 2018

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Birkhäuser

Authors:

  1. Barbara Kaltenbacher

    1. Insitute of Mathematics, University of Klagenfurt, Klagenfurt am Wörthersee, Austria

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  2. Igor Kukavica

    1. Department of Mathematics, University of Southern California, Los Angeles, USA

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  3. Irena Lasiecka

    1. Dept of Mathematical Sciences, University of Memphis, Memphis, USA

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  4. Roberto Triggiani

    1. Dept of Mathematical Sciences, University of Memphis, Memphis, USA

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  5. Amjad Tuffaha

    1. American University of Sharjah, Sharjah, United Arab Emirates

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  6. Justin T. Webster

    1. Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, USA

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  • Describes in a user-friendly way recent advances in mathematical analysis of coupled PDE-systems with interaction at the interface
  • Indicates attractive directions for future research, including several open problems
  • Presents PhD students an excellent starting point for their own research in the area

Part of the book series: Oberwolfach Seminars (OWS, volume 48)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
    PDF

  2. An introduction to a fluid-structure model

    • Igor Kukavica, Amjad Tuffaha
    Pages 1-52

  4. Flow-plate interactions: well-posedness and long time behavior

    • Irena Lasiecka, Justin T. Webster
    Pages 173-268

  6. Correction to: Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

    • Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster
    Pages E1-E1
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About this book

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.

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Keywords

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Authors and Affiliations

  • Insitute of Mathematics, University of Klagenfurt, Klagenfurt am Wörthersee, Austria

    Barbara Kaltenbacher

  • Department of Mathematics, University of Southern California, Los Angeles, USA

    Igor Kukavica

  • Dept of Mathematical Sciences, University of Memphis, Memphis, USA

    Irena Lasiecka, Roberto Triggiani

  • American University of Sharjah, Sharjah, United Arab Emirates

    Amjad Tuffaha

  • Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, USA

    Justin T. Webster

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About the authors

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster


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Bibliographic Information

  • Book Title: Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

  • Authors: Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster

  • Series Title: Oberwolfach Seminars

  • DOI: https://doi.org/10.1007/978-3-319-92783-1

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Softcover ISBN: 978-3-319-92782-4Published: 03 July 2018

  • eBook ISBN: 978-3-319-92783-1Published: 21 June 2018

  • Series ISSN: 1661-237X

  • Series E-ISSN: 2296-5041

  • Edition Number: 1

  • Number of Pages: XIII, 309

  • Topics: Partial Differential Equations

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Buy it now

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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