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26001 results in Abstract analysis

Page 994 of 1301

  • Ploughing flows

  • E. O. TUCK, J.-M. VANDEN-BROECK
  • Journal:
    European Journal of Applied Mathematics / Volume 9 / Issue 5 / October 1998
    Published online by Cambridge University Press:
    01 October 1998, pp. 463-483

  • A semi-infinite body, modelling the leading edge of a cutting tool or submerged hydrofoil, lies beneath a free surface in a uniform stream of infinitely-deep inviscid incompressible fluid flowing steadily under gravity. The body has horizontal upper and lower surfaces. The oncoming flow is partly diverted over, and partly under the body. The flow in that portion that travels over the body can be supercritical or subcritical. When it is supercritical it approaches a stream of some (to be determined) speed in a channel of some (to be determined) depth. When it is subcritical, there is also a train of waves on that stream, whose amplitude is also to be determined. Semi-analytic high-speed and low-speed solutions are obtained, and a numerical solution for finite speeds. There is a ‘forbidden’ intermediate speed range, within which steady flow may not be possible.

  • Preface

  • Albrecht Pietsch, Friedrich-Schiller-Universität, Jena, Germany, Jörg Wenzel, Friedrich-Schiller-Universität, Jena, Germany
  • Book:
    Orthonormal Systems and Banach Space Geometry
    Published online:
    10 December 2009
    Print publication:
    10 September 1998, pp ix-x

  • Summary

    This book is based on the pioneering work of (in chronological order) R. C. James, S. Kwapień, B. Maurey, G. Pisier, D. L. Burkholder and J. Bourgain.

    We have done our best to unify and simplify the material. All participants of the Jenaer Seminar ‘Operatorenideale’ contributed their ideas and their patience. Above all, we are indebted to A. Hinrichs who made several significant improvements. From S. Geiss we learnt many results and techniques related to the theory of martingales. Particular gratitude goes to H. Jarchow (Zürich) for various helpful remarks.

    For many years, our research on this subject was supported by the Deutsche Forschungsgemeinschaft, contracts Ko 962/3–1 and Pi 322/1–1.

    Finally, we thank CAMBRIDGE UNIVERSITY PRESS for their excellent collaboration in publishing this book. Jena, October 1997 ALBRECHT PIETSCH JÖRG WENZEL

Page 994 of 1301