Ontology type: schema:ScholarlyArticle
1998-06
AUTHORSP. Degond, José L. López, P.F. Peyrard
ABSTRACTThe 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. More... »
PAGES153-178
http://scigraph.springernature.com/pub.10.1007/s001610050087
DOIhttp://dx.doi.org/10.1007/s001610050087
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