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Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics

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posted on 09.01.2019, 16:51 authored by A.V. Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexei Vasiliev
We consider a kinetic equation describing evolution of the particle distribution function in a system with nonlinear wave-particle interactions (trappings into resonance and nonlinear scatterings). We study properties of its solutions and show that the only stationary solution is a constant, and that all solutions with smooth initial conditions tend to a constant as time grows. The resulting flattening of the distribution function in the domain of nonlinear interactions is similar to one described by the quasi-linear plasma theory, but the distribution evolves much faster. The results are confirmed numerically for a model problem.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physica D: Nonlinear Phenomena

Citation

ARTEMYEV, A.V., NEISHTADT, A. and VASILIEV, A., 2019. Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics. Physica D: Nonlinear Phenomena, 393, pp.1-8.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publisher statement

This paper was accepted for publication in the journal Physica D: Nonlinear Phenomena and the definitive published version is available at https://doi.org/10.1016/j.physd.2018.12.007.

Acceptance date

23/12/2018

Publication date

2019-01-02

ISSN

0167-2789

Language

en