Oberwolfach Seminars

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Authors: Kaltenbacher, B., Kukavica, I., Lasiecka, I., Triggiani, R., Tuffaha, A., Webster, J.T.

  • 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 
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-92783-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-92782-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster


Table of contents (4 chapters)

  • An introduction to a fluid-structure model

    Kukavica, Igor (et al.)

    Pages 1-52

  • Linear parabolic-hyperbolic fluid-structure interaction models. The case of static interface

    Triggiani, Roberto

    Pages 53-171

  • Flow-plate interactions: well-posedness and long time behavior

    Lasiecka, Irena (et al.)

    Pages 173-268

  • Some aspects in nonlinear acoustics: structure-acoustic coupling and shape optimization

    Kaltenbacher, Barbara

    Pages 269-307

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-92783-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-92782-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions
Authors
Series Title
Oberwolfach Seminars
Series Volume
48
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-92783-1
DOI
10.1007/978-3-319-92783-1
Softcover ISBN
978-3-319-92782-4
Series ISSN
1661-237X
Edition Number
1
Number of Pages
XIII, 307
Topics