Navier-Stokes Flow Around a Rotating Obstacle
Mathematical Analysis of its Asymptotic Behavior
Authors: Necasova, Sarka, Kracmar, Stanislav
Free Preview- 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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- About this book
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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)
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Introduction
Pages 1-3
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Formulation of the Problem
Pages 5-7
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Fundamental Solution of the Evolution Problem
Pages 9-24
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Fundamental Solution of the Stationary Problem
Pages 25-38
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Representation Formula
Pages 39-48
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Table of contents (8 chapters)
- Download Preface 1 PDF (38.7 KB)
- Download Sample pages 2 PDF (79.3 KB)
- Download Table of contents PDF (75.8 KB)
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Bibliographic Information
- Bibliographic Information
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- 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
- 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
