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arXiv · 1603.07219

Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime

Isabelle Tristani
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Abstract

In this paper, we consider the linearized Vlasov-Poisson equation around an homogeneous Maxwellian equilibrium in a weakly collisional regime: there is a parameter $\eps$ in front of the collision operator which will tend to $0$. Moreover, we study two cases of collision operators, linear Boltzmann and Fokker-Planck. We prove a result of Landau damping for those equations in Sobolev spaces uniformly with respect to the collision parameter $\eps$ as it goes to $0$.

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Isabelle Tristani. 2016-03-23. Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime. https://doi.org/10.1007/s10955-017-1848-1

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