Finite Larmor radius regime: Collisional setting and fluid models

Author:

Bostan Mihaï1,Finot Aurélie1

Affiliation:

1. Aix Marseille Université, CNRS, Centrale Marseille, I2M, Marseille France, Centre de Mathématiques et Informatique, UMR 7373, 39 rue Frédéric Joliot Curie, 13453 Marseille Cedex 13, France

Abstract

The subject matter of this paper concerns the derivation of fluid limits for gyro-kinetic models. The arguments apply for any collision kernel satisfying the usual conservations (mass, momentum, kinetic energy) and possessing a production entropy sign. We describe the set of equilibria in terms of several moments, we determine the average collision invariants, and we write the associated macroscopic equations and the entropy inequality.

Funder

Euratom research and training programme

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

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