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Dynamics of a charged gas cloud in a magnetic field

Dynamics of a charged gas cloud in a magnetic field Yu. I. Lysikov UDC 533.95 There are several approaches to the expansion of a gas cloud, of which the best with regard to derivation of analytic solutions is that based on [I], where an initial general system of equations was derived for the elements of the matrix that defines the solution to the equations of hydrodynamics, and it was pointed out that several first integrals of this system can be derived. With regard to the escape of the gas cloud into vacuum, several first integrals have been derived [2, 3], and the system has been integrated completely in certain simple cases. In [4], allowance was made for the gravitational interaction in this model, and there was a detailed discussion of the behavior of the solution on the basis of the quali- tative theory of differential equations. It is also possible to integrate the system in cer- tain cases by time transformation. In [5] the solution to the system of [i] was applied to the analysis of some features of a plasma cloud in a laser thermonuclear synthesis. There- fore, the approach of [I] provided some interesting results in plasma physics and astro- physics. The scope for using this approach http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mechanics and Technical Physics Springer Journals

Dynamics of a charged gas cloud in a magnetic field

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References (3)

Publisher
Springer Journals
Copyright
Copyright
Subject
Physics; Classical Mechanics; Fluid- and Aerodynamics; Classical and Continuum Physics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering
ISSN
0021-8944
eISSN
1573-8620
DOI
10.1007/BF00911570
Publisher site
See Article on Publisher Site

Abstract

Yu. I. Lysikov UDC 533.95 There are several approaches to the expansion of a gas cloud, of which the best with regard to derivation of analytic solutions is that based on [I], where an initial general system of equations was derived for the elements of the matrix that defines the solution to the equations of hydrodynamics, and it was pointed out that several first integrals of this system can be derived. With regard to the escape of the gas cloud into vacuum, several first integrals have been derived [2, 3], and the system has been integrated completely in certain simple cases. In [4], allowance was made for the gravitational interaction in this model, and there was a detailed discussion of the behavior of the solution on the basis of the quali- tative theory of differential equations. It is also possible to integrate the system in cer- tain cases by time transformation. In [5] the solution to the system of [i] was applied to the analysis of some features of a plasma cloud in a laser thermonuclear synthesis. There- fore, the approach of [I] provided some interesting results in plasma physics and astro- physics. The scope for using this approach

Journal

Journal of Applied Mechanics and Technical Physics – Springer Journals

Published: Dec 15, 2004

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