Stability of Fluid Motions I

1. Front Matter

   Pages I-XIII

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2. Introduction

   • Daniel D. Joseph

   Pages 1-6

3. Global Stability and Uniqueness

   • Daniel D. Joseph

   Pages 7-24

4. Instability and Bifurcation

   • Daniel D. Joseph

   Pages 25-63

5. Poiseuille Flow: The Form of the Disturbance whose Energy Increases Initially at the Largest Value of v

   • Daniel D. Joseph

   Pages 64-89

6. Friction Factor Response Curves for Flow through Annular Ducts

   • Daniel D. Joseph

   Pages 90-129

7. Global Stability of Couette Flow between Rotating Cylinders

   • Daniel D. Joseph

   Pages 130-157

8. Global Stability of Spiral Couette-Poiseuille Flows

   • Daniel D. Joseph

   Pages 158-201

9. Global Stability of the Flow between Concentric Rotating Spheres

   • Daniel D. Joseph

   Pages 202-217

10. Back Matter

    Pages 218-282

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The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.

• Functionals
• Hydrodynamik
• Stability
• Stabilität
• bifurcation
• eigenvalue
• energy
• solution
• turbulence
• fluid- and aerodynamics

• Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

  Daniel D. Joseph