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arXiv · 1701.00262

On the local uniqueness of steady states for the Vlasov-Poisson system

Mikaela Iacobelli
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Abstract

Motivated by recent results of Lemou-M\'ehats-R\"aphael and Lemou concerning the quatitative stability of some suitable steady states for the Vlasov-Poisson system, we investigate the local uniqueness of steady states near these one. This research is inspired by analogous results of Couffrut and \v{S}ver\'ak in the context of the 2D Euler equations.

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Mikaela Iacobelli. 2017-01-01. On the local uniqueness of steady states for the Vlasov-Poisson system. https://arxiv.org/abs/1701.00262

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