Hydromagnetic equations of a rarefied plasma

  • V. P. Milant'ev


The general hydromagnetic equations are obtained for a collisionless plasma, taking account of “magnetic viscosity” and thermal conductivity, when (1.2) holds. These equations are not closed since they contain the fourth moments. By computing these moments, for example, by Grad's method, we can close the system of equations. A system of equations in two-dimensional theory is also given.


Viscosity Mathematical Modeling Thermal Conductivity Mechanical Engineer Industrial Mathematic 
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Literature cited

  1. 1.
    G. F. Chew, M. L. Goldberger, and F. E. Low, “The Boltzmann equation and the one-fluid hydromagnetic equations in the absence of particle collisions,” Proc. Roy. Soc.,A236, No. 1204 (1956).Google Scholar
  2. 2.
    T. F. Volkov, “A hydrodynamic description of a strongly rarefied plasma,” in: Reviews of Plasma Physics, Vol. 1, Consultants Bureau (1965).Google Scholar
  3. 3.
    E. Frieman, R. Davidson, and B. Langdon, “Higher-order corrections to the Chew-Goldberger-Low theory,” Phys. Fluids,9, No. 8, 1475 (1966).Google Scholar
  4. 4.
    A. Macmahon, “Finite gyro-radius corrections to the hydromagnetic equations for a Vlasov plasma,” Phys. Fluids,8, No. 10, 1840 (1965).Google Scholar
  5. 5.
    M. N. Rosenbluth, N. A. Krall, and N. Rostoker, “Finite Larmor radius stabilization of ‘weakly’ unstable confined plasmas,” Nucl. Fusion,2, Suppl. pt. 1 (1962).Google Scholar
  6. 6.
    A. B. Mikhailovskii, “The oscillations of an inhomogeneous plasma,” in: Reviews of Plasma Physics, Vol. 3, Consultants Bureau (1967).Google Scholar
  7. 7.
    M. N. Rosenbluth and A. Simon, “Finite Larmor radius equations with nonuniform electric fields and velocities,” Phys. Fluids,8, No. 7, 1300 (1965).Google Scholar
  8. 8.
    T. E. Stringer and G. Schmidt, “Flute instability in the presence of nonuniform electric fields,” Plasma Physics,9, No. 1 (1967).Google Scholar
  9. 9.
    R. Z. Sagdeev, B. B. Kadomtsev, L. I. Rudakov, and A. A. Vedenov, “The dynamics of a rarefied plasma in a magnetic field,” Proc. Second Internat. Conf. on World Use of Atomic Energy, Geneva, 1958; Reports of the Soviet Scientists, Vol. 1 [in Russian], Atomizdat, Moscow (1959).Google Scholar
  10. 10.
    V. Oraevskii, R. Chodura, and W. Feneberg, “Hydrodynamic equations for plasmas in strong magnetic fields,” Plasma Physics,10, No. 9 (1968).Google Scholar
  11. 11.
    V. P. Milantiev, “On the viscosity and heat conductivity of a collisionless plasma in a magnetic field,” Riso Rep., No. 175 (1968).Google Scholar
  12. 12.
    V. P. Milantiev, “On the viscosity of a collisionless plasma in a magnetic field,” Plasma Physics,11, No. 2 (1969).Google Scholar
  13. 13.
    G. Berge, “The instability of a rotating plasma from the two-fluid equations including finite radius of gyration effects,” in: Plasma Physics and Controlled Nuclear Fusion Research, Vol. 1, Vienna (1966).Google Scholar

Copyright information

© Consultants Bureau 1973

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  • V. P. Milant'ev

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