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Hydrodynamic stability theory

  • Book
  • © 1985

Overview

Authors:
  1. Adelina Georgescu

    1. Institute of Mathematics, Bucharest, Romania

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Part of the book series: Mechanics: Analysis (MECA, volume 9)

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Table of contents (6 chapters)

  1. Front Matter

    Pages 1-10
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  2. Introduction

    • Adelina Georgescu
    Pages 11-15

  3. Classical Hydrodynamic Stability

    • Adelina Georgescu
    Pages 17-76

  4. Generalized Solutions in Hydrodynamic Stability

    • Adelina Georgescu
    Pages 77-151

  5. Branching and Stability of Solutions of the Navier-Stokes Equations

    • Adelina Georgescu
    Pages 152-211

  6. Nature of Turbulence

    • Adelina Georgescu
    Pages 212-230

  7. The Influence of the Presence of a Porous Medium on Hydrodynamic Stability

    • Adelina Georgescu
    Pages 231-247

  8. Back Matter

    Pages 248-307
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Keywords

About this book

The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe­ matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat­ ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.

Reviews

`All in all, this book is a useful addition to the literature.'
I.H. Herron, Mathematical Reviews.

Authors and Affiliations

  • Institute of Mathematics, Bucharest, Romania

    Adelina Georgescu

Bibliographic Information

  • Book Title: Hydrodynamic stability theory

  • Authors: Adelina Georgescu

  • Series Title: Mechanics: Analysis

  • DOI: https://doi.org/10.1007/978-94-017-1814-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1985

  • Hardcover ISBN: 978-90-247-3120-6Published: 30 April 1986

  • Softcover ISBN: 978-90-481-8289-3Published: 30 December 2010

  • eBook ISBN: 978-94-017-1814-1Published: 17 April 2013

  • Series ISSN: 0924-2147

  • Edition Number: 2

  • Number of Pages: VII, 300

  • Additional Information: Originally published in Romanian

  • Topics: Analysis, Classical Mechanics

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