ISSN:
1432-0959
Keywords:
AMS Subject classification:41A60, 35Q20, 76P05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
The macroscopic dynamics of a kinetic equation involving a model wave-particle collision operator of plasma physics is investigated. The Chapman-Enskog asymptotics is first considered in the framework of a hydrodynamic scaling. The obtained macroscopic model still involves a kinetic variable, the particle energy in the rest frame of the fluid, but shares similarities with the compressible Navier-Stokes equation of gas dynamics. Then a diffusive scaling is examined under the hypothesis of small perturbations of a global equilibrium. In this case, the macroscopic model couples the usual incompressible Navier-Stokes with a diffusion equation for the energy distribution function of the particles, constrained by an extended version of the Boussinesq relation. In both cases, the effect of a Lorentz force term is developed, in the perspective of plasma physical modelling.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s001610050087
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