Abstract
view Abstract Citations (1) References (11) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Practical use of the Legendre-expanded quasi-linear equations for anisotropic particles and Langmuir waves. Hoyng, P. ; Stevens, G. A. ; Melrose, D. B. Abstract The Legendre expansion for the three-dimensional quasilinear equations for axisymmetric streams of particles and Langmuir waves is discussed. In particular, it is shown that a well-posed numerical problem based on the Legendre expansion can be defined for conditions equivalent to a decomposition into an arbitrary number of mutually coinciding one-dimensional streams of particles and waves. The difficulty of negative distribution functions occurring in the Legendre expansion has also proven tractable. The Legendre expansion method is applicable to the study of the suprathermal streams of electrons which occur frequently in astrophysical plasmas. Publication: The Astrophysical Journal Pub Date: June 1979 DOI: 10.1086/157153 Bibcode: 1979ApJ...230..961H Keywords: Anisotropic Media; Cosmic Plasma; Distribution Functions; Electron Radiation; Electrostatic Waves; Legendre Functions; Accuracy; Coulomb Collisions; Electron Energy; Linear Equations; Particle Size Distribution; Truncation Errors; Astrophysics; Plasma full text sources ADS |
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