Hyperbolicity of Grad’s extension of hydrodynamic models for ionospheric plasma. Part 1: The single species case
نویسنده
چکیده
We present the fluid equations derived by Schunck following Grad’s approach to solve the Boltzmann equation for near maxwellian distribution functions. We study the hyperbolic part of these systems usually referred to as 5, 8, 10, 13 and 16-moment approximation. We show that the hyperbolicity of the systems involving the heat flux as an independent variable always requires a limitation on the heat flux. This limitation fails in the auroral ionospheric zones for the terrestrial plasma.
منابع مشابه
Hyperbolicity of Grad’s extension of hydrodynamic models for ionospheric plasma
We investigate the hyperbolicity of the 5, 8, 10, 13 and 16moment Grad systems for two species of particles under the quasineutrality hypothesis. The analysis is based on an asymptotic expansion with respect to the mass ratio. We show that the hyperbolicity of the systems which involve the heat flux as an independent variable requires a limitation on this heat flux.
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