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Navier-Stokes Flow Around a Rotating Obstacle

Mathematical Analysis of its Asymptotic Behavior

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Briefs in Differential Equations (ABDE, volume 3)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • Šárka Nečasová, Stanislav Kračmar
    Pages 1-3
  3. Formulation of the Problem

    • Šárka Nečasová, Stanislav Kračmar
    Pages 5-7
  4. Fundamental Solution of the Evolution Problem

    • Šárka Nečasová, Stanislav Kračmar
    Pages 9-24
  5. Fundamental Solution of the Stationary Problem

    • Šárka Nečasová, Stanislav Kračmar
    Pages 25-38
  6. Representation Formula

    • Šárka Nečasová, Stanislav Kračmar
    Pages 39-48
  7. Asymptotic Behavior

    • Šárka Nečasová, Stanislav Kračmar
    Pages 49-74
  8. Leray Solution

    • Šárka Nečasová, Stanislav Kračmar
    Pages 75-83
  9. Latest Results

    • Šárka Nečasová, Stanislav Kračmar
    Pages 85-89
  10. Back Matter

    Pages 91-96

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.

Authors and Affiliations

  • Department of Evolutionary Equations, Mathematical Institute, Prague 1, Czech Republic

    Sarka Necasova

  • Department of Technical Mathematics, Czech Technical University, Prague 2, Czech Republic

    Stanislav Kracmar

Bibliographic Information

  • Book Title: Navier-Stokes Flow Around a Rotating Obstacle

  • Book Subtitle: Mathematical Analysis of its Asymptotic Behavior

  • Authors: Sarka Necasova, Stanislav Kracmar

  • Series Title: Atlantis Briefs in Differential Equations

  • DOI: https://doi.org/10.2991/978-94-6239-231-1

  • Publisher: Atlantis Press Paris

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 2016

  • Softcover ISBN: 978-94-6239-230-4Published: 14 October 2016

  • eBook ISBN: 978-94-6239-231-1Published: 06 October 2016

  • Series ISSN: 2405-6405

  • Series E-ISSN: 2405-6413

  • Edition Number: 1

  • Number of Pages: X, 96

  • Topics: Ordinary Differential Equations

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
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