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Atlantis Briefs in Differential Equations

Navier-Stokes Flow Around a Rotating Obstacle

Mathematical Analysis of its Asymptotic Behavior

Authors: Necasova, Sarka, Kracmar, Stanislav

  • A novel approach based on potentia theory to the problem of fluids around rotating bodies
  • Detailed derivation of the fundamental solution of the problem and the representation formula
  • Introductions to each chapter provide motivation
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eBook $54.99
price for USA (gross)
  • ISBN 978-94-6239-231-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-94-6239-230-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.

Table of contents (8 chapters)

  • Introduction

    Nečasová, Šárka (et al.)

    Pages 1-3

  • Formulation of the Problem

    Nečasová, Šárka (et al.)

    Pages 5-7

  • Fundamental Solution of the Evolution Problem

    Nečasová, Šárka (et al.)

    Pages 9-24

  • Fundamental Solution of the Stationary Problem

    Nečasová, Šárka (et al.)

    Pages 25-38

  • Representation Formula

    Nečasová, Šárka (et al.)

    Pages 39-48

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-94-6239-231-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-94-6239-230-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Navier-Stokes Flow Around a Rotating Obstacle
Book Subtitle
Mathematical Analysis of its Asymptotic Behavior
Authors
Series Title
Atlantis Briefs in Differential Equations
Series Volume
3
Copyright
2016
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author(s)
eBook ISBN
978-94-6239-231-1
DOI
10.2991/978-94-6239-231-1
Softcover ISBN
978-94-6239-230-4
Series ISSN
2405-6405
Edition Number
1
Number of Pages
X, 96
Topics