Stability and Transition in Shear Flows

  • Peter J. Schmid
  • Dan S. Henningson

Part of the Applied Mathematical Sciences book series (AMS, volume 142)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction and General Results

    1. Peter J. Schmid, Dan S. Henningson
      Pages 1-10
  3. Temporal Stability of Parallel Shear Flows

    1. Front Matter
      Pages 11-13
    2. Peter J. Schmid, Dan S. Henningson
      Pages 15-53
    3. Peter J. Schmid, Dan S. Henningson
      Pages 55-98
    4. Peter J. Schmid, Dan S. Henningson
      Pages 99-151
    5. Peter J. Schmid, Dan S. Henningson
      Pages 153-193
  4. Stability of Complex Flows and Transition

    1. Front Matter
      Pages 195-196
    2. Peter J. Schmid, Dan S. Henningson
      Pages 197-252
    3. Peter J. Schmid, Dan S. Henningson
      Pages 253-371
    4. Peter J. Schmid, Dan S. Henningson
      Pages 373-399
    5. Peter J. Schmid, Dan S. Henningson
      Pages 401-475
  5. Back Matter
    Pages 477-558

About this book

Introduction

The field of hydrodynamic stability has a long history, going back to Rey­ nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.

Keywords

Analysis Fluid Mechanics Hydrodynamic Stability Shear Flows Stability Theory Turbulence fluid dynamics model numerical methods simulation

Authors and affiliations

  • Peter J. Schmid
    • 1
  • Dan S. Henningson
    • 2
  1. 1.Applied Mathematics DepartmentUniversity of WashingtonSeattleUSA
  2. 2.Department of MechanicsRoyal Institute of Technology (KTH)StockholmSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0185-1
  • Copyright Information Springer-Verlag New York, Inc. 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6564-1
  • Online ISBN 978-1-4613-0185-1
  • Series Print ISSN 0066-5452
  • About this book
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