Sharp estimates for screened Vlasov-Poisson system around Penrose-stable equilibria in ℝ^d , d≥3

2022/05/20 by Huang, Lingjia, Nguyen, Quoc-Hung, Xu, Yiran
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.10261

Abstract

In this paper, we study the asymptotic stability of Penrose-stable equilibria among solutions of the screened Vlasov-Poisson system in ℝ^d with d≥ 3 that was first established by Bedrossian, Masmoudi, and Mouhot in \citeJBedrossian2018 with smooth initial data. More precisely, we prove the sharp decay estimates for the density of the perturbed system, exactly like the free transport with only Hölder (i.e., C^a for 0

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