Vol. 3, No. 2, 2021

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Diffusion regime with a high and oscillating field

Thierry Goudon

Vol. 3 (2021), No. 2, 395–445
Abstract

We investigate the behavior of solutions of simple linear kinetic equations, subjected to a strong and fast time-oscillating force field, in the diffusion regime. We consider quasiperiodic oscillations. The asymptotic behavior is governed by a convection-diffusion equation, for which we can identify the effective coefficients.

Keywords
hydrodynamic limits, high-field regime, homogenization, plasma physics
Mathematical Subject Classification 2010
Primary: 35B27
Secondary: 35Q20, 35Q35, 82C40, 82D10
Milestones
Received: 24 October 2019
Revised: 4 January 2020
Accepted: 28 January 2020
Published: 5 December 2020
Authors
Thierry Goudon
Université Côte d’Azur, Inria, CNRS, LJAD
Parc Valrose
Nice
France