# American Institute of Mathematical Sciences

March  2015, 20(2): 339-371. doi: 10.3934/dcdsb.2015.20.339

## On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields

 1 Institut de Mathématiques de Marseille UMR 7353, Aix Marseille Université, CNRS, Centrale Marseille, 13453 Marseille, France

Received  September 2013 Revised  September 2014 Published  January 2015

The subject matter of this paper concerns the paraxial approximation for the transport of charged particles. We focus on the magnetic confinement properties of charged particle beams. The collisions between particles are taken into account through the Boltzmann kernel. We derive the magnetic high field limit and we emphasize the main properties of the averaged Boltzmann collision kernel, together with its equilibria.
Citation: Mihai Bostan. On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields. Discrete and Continuous Dynamical Systems - B, 2015, 20 (2) : 339-371. doi: 10.3934/dcdsb.2015.20.339
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