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Hydrodynamic stability theory

  • Adelina Georgescu

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

Table of contents

  1. Front Matter
    Pages 1-10
  2. Adelina Georgescu
    Pages 11-15
  3. Adelina Georgescu
    Pages 17-76
  4. Adelina Georgescu
    Pages 77-151
  5. Adelina Georgescu
    Pages 212-230
  6. Back Matter
    Pages 248-307

About this book

Introduction

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.

Keywords

Eigenvalue banach spaces calculus of variations stability turbulence

Authors and affiliations

  • Adelina Georgescu
    • 1
  1. 1.Institute of MathematicsBucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1814-1
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-8289-3
  • Online ISBN 978-94-017-1814-1
  • Series Print ISSN 0924-2147
  • Buy this book on publisher's site
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