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Nonlinear Landau damping for the 2d Vlasov-Poisson system with massless electrons around Penrose-stable equilibria

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arxiv 2206.11744 v2 pith:EW35KNHQ submitted 2022-06-23 math.AP

Lingjia Huang , Quoc-Hung Nguyen , Yiran Xu This is my paper · ORCID
classification math.AP
keywords electronsequilibriamasslessnonlinearpenrose-stablesystemvlasov-poissonaround
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abstract

In this paper, we prove the nonlinear asymptotic stability of the Penrose-stable equilibria among solutions of the $2d$ Vlasov-Poisson system with massless electrons.

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  1. A new proof of nonlinear Landau damping for the 3D Vlasov-Poisson system near Poisson equilibrium

    math.AP 2024-11 conditional novelty 4.0 of 10

    A streamlined proof that in 3D Vlasov-Poisson, small perturbations near the Poisson equilibrium produce a decaying electric field and convergence to a free-streaming state, reproducing a theorem of Ionescu, Pausader, ...

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