Electromagnetic Equations in Plasma Dynamics

  • Shih-I Pai


The fundamental equations of plasma dynamics discussed in chapter II, § 9 may be roughly divided into two groups: one deals with mainly the gasdynamic quantities (T, p, ρ, u i or their partial values) which may be called the gasdynamic equations; and the other deals with mainly the electromagnetic. quantities (E i , H i , ρ e , J i ) which may be called the electromagnetic equations. Of course, it should be noted that there are interaction terms in these two groups which are very important in our treatment and that the electromagnetic equations of ρ e and J i are derived from the gasdynamic equations as shown in chapter II, § 8. However it is sometimes convenient to make such a division because in this way we may easily compare our results of plasma dynamics with those of ordinary gasdynamics and electrodynamics. The properties of the gasdynamic equations will be discussed in the following chapters because one of our main purposes of this book is to treat the flow problems of plasma which are essentially gasdynamical in nature. In this chapter we shall briefly discuss the properties of electromagnetic equations and the approximations which will be used in our analysis.


Free Space Hall Current Electromagnetic Theory Unit Charge Plasma Dynamic 
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  1. 1.
    Blank, A. A., K. O. Friedrichs, and H. Grad: Theory of Maxwell’s Equations without Displacement Current. on Magneto-hydrodynamics, No. V. Inst. of Math. Sciences, New York Univ., Nov. 1, 1957.Google Scholar
  2. 2.
    Burgers, J. M.: The Penetration of a Shock Wave into a Magnetic Field, Tech. Note No. BN-102, Inst. for Fluid Dynamics and Appl. Math. Univ. of Maryland, June 1957.Google Scholar
  3. 3.
    Cowling, T. G.: Magnetohydrodynamics, Interscience Publishers, Inc., New York, 1957.Google Scholar
  4. 4.
    Grad, H.: Ohm’s Law. Notes on Magneto-hydrodynamics, No. IV, Inst. of Math. Sciences, New York Univ., Aug. 1956.Google Scholar
  5. 5.
    Pai, S. I.: The Fundamental Equations of Magnetogasdynamics. Engineering report No. 10053-M, The Martin Company, Baltimore, April 1, 1958.Google Scholar
  6. 6.
    Pai, S. I.: Introduction to the Theory of Compressible Flow. Van Nostrand Co., Princeton, N. J., 1959.Google Scholar
  7. 7.
    Stratton, J. A.: Electromagnetic Theory. Mcgraw-Hill Book Company, Inc., New York, 1941.Google Scholar

Copyright information

© Springer-Verlag GmbH Wien 1962

Authors and Affiliations

  • Shih-I Pai
    • 1
  1. 1.Institute for Fluid Dynamics and Applied MathematicsUniversity of MarylandCollege ParkUSA

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