Navier-Stokes flow around a rotating obstacle : mathematical analysis of its asymptotic behavior / Šárka Nečasová, Stanislav Kračmar.
2016
QA374 .N43 2016eb
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Title
Navier-Stokes flow around a rotating obstacle : mathematical analysis of its asymptotic behavior / Šárka Nečasová, Stanislav Kračmar.
Author
Nečasová, Šárka, author.
ISBN
9789462392311 (electronic book)
9462392315 (electronic book)
9789462392304
9462392307
9462392315 (electronic book)
9789462392304
9462392307
Published
Paris, France : Atlantis Press, [2016]
Language
English
Description
1 online resource (x, 96 pages)
Call Number
QA374 .N43 2016eb
Dewey Decimal Classification
515/.353
Summary
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.
Bibliography, etc. Note
Includes bibliographical references (pages 91-93).
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Kráčmar, Stanislav, author.
Series
Atlantis briefs in differential equations ; v. 3.
Available in Other Form
Navier - Stokes Flow Around a Rotating Obstacle.
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Table of Contents
1. Introduction
2. Formulation of the problem
3 Fundamental solution of the evolution problem
4 Fundamental solution of the stationary problem
5 Representation formula
6 Asymptotic behavior
7 Leray solution
8 The latest results.
2. Formulation of the problem
3 Fundamental solution of the evolution problem
4 Fundamental solution of the stationary problem
5 Representation formula
6 Asymptotic behavior
7 Leray solution
8 The latest results.