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Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows

  • Roy M. Gundersen

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 1)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Roy M. Gundersen
    Pages 1-8
  3. Roy M. Gundersen
    Pages 9-30
  4. Roy M. Gundersen
    Pages 30-37
  5. Roy M. Gundersen
    Pages 37-50
  6. Roy M. Gundersen
    Pages 50-68
  7. Roy M. Gundersen
    Pages 68-78
  8. Roy M. Gundersen
    Pages 78-95
  9. Back Matter
    Pages 96-122

About this book

Introduction

Magnetohydrodynamics is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. Un­ fortunately, the subject has a rather poorly developed experimental basis and because of the difficulties inherent in carrying out controlled laboratory experiments, the theoretical developments, in large measure, have been concerned with finding solutions to rather idealized problems. This lack of experimental basis need not become, however, a multi­ megohm impedance in the line of progress in the development of a satisfactory scientific theory. While it is true that ultimately a scientific theory must agree with and, in actuality, predict physical phenomena with a reasonable degree of accuracy, such a theory must be sanctioned by its mathematical validity and consistency. Physical phenomena may be expressed precisely and quite comprehensively through the use of differential equations, and the equations formulated by LUNDQUIST and discussed by FRIEDRICHS belong to a class of equations particularly well-understood and extensively studied. This class includes, in fact, many other eminent members, the solutions of which have led to results of far-reaching scientific and technological application. Frequently, the mathematical analysis has provided the foundations and guidance necessary for further developments, and, reciprocally, the physical problems have provided, in many cases, the impetus for the development of new mathematical theories which often have evolved to an a priori unpredictable extent.

Keywords

Flows Hydrodynamik Magnetohydrodynamik development dynamics

Authors and affiliations

  • Roy M. Gundersen
    • 1
  1. 1.University of Wisconsin-MilwaukeeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46005-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1964
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-46007-4
  • Online ISBN 978-3-642-46005-0
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site