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Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Benefits

  • 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

Textbook

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Igor Kukavica, Amjad Tuffaha
    Pages 1-52
  3. Irena Lasiecka, Justin T. Webster
    Pages 173-268
  4. Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster
    Pages E1-E1

About this book

Introduction

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.


Keywords

fluid-structure interaction flow-structure interaction nonlinear structural acoustic interaction mathematical theory of evolutionary Oberwolfach

Authors and affiliations

  1. 1.Insitute of MathematicsUniversity of KlagenfurtKlagenfurt am WörtherseeAustria
  2. 2.Department of MathematicsUniversity of Southern CaliforniaLos AngelesUSA
  3. 3.Dept of Mathematical SciencesUniversity of MemphisMemphisUSA
  4. 4.Dept of Mathematical SciencesUniversity of MemphisMemphisUSA
  5. 5.American University of SharjahSharjahUnited Arab Emirates
  6. 6.Department of Mathematics and StatisticsUniversity of Maryland, Baltimore CountyBaltimoreUSA

About the authors

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster


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
  • Series Abbreviated Title Oberwolfach Seminars(formerly:Sem.Dt.Math.Ver.)(Birkh.)
  • DOI https://doi.org/10.1007/978-3-319-92783-1
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-92782-4
  • eBook ISBN 978-3-319-92783-1
  • Series ISSN 1661-237X
  • Series E-ISSN 2296-5041
  • Edition Number 1
  • Number of Pages XIII, 309
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Partial Differential Equations
  • Buy this book on publisher's site
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