Landau damping in dynamical Lorentz gases

Thierry Goudon 1 Léo Vivion 1
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : We analyse the Landau damping mechanism for variants of Vlasov equations, with a time dependent linear force term and a self-consistent potential that involves an additional memory effect. This question is directly motivated by a model describing the interaction of particles with their environment, through momentum and energy exchanges with a vibrating field. We establish the stability of homogeneous states. We bring out how the coupling influences the stability criterion, in comparison to the standard Vlasov case.
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Submitted on : Thursday, June 13, 2019 - 7:27:19 PM
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Thierry Goudon, Léo Vivion. Landau damping in dynamical Lorentz gases. 2019. ⟨hal-02155761⟩

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