Nonlinear stability of the one dimensional screened Vlasov Poisson equation

Dongyi Wei

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arXiv · 2411.13798

Nonlinear stability of the one dimensional screened Vlasov Poisson equation

Dongyi Wei

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Abstract

We study the asymptotic behavior of small data solutions to the screened Vlasov Poisson(i.e. Vlasov-Yukawa) equation on ${\mathbb R}\times{\mathbb R}$ near vacuum. We show that for initial data small in Gevrey-2 regularity, the derivative of the density of order $n$ decays like $(t+1)^{-n-1}$.

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Dongyi Wei. 2024-11-21. Nonlinear stability of the one dimensional screened Vlasov Poisson equation. https://arxiv.org/abs/2411.13798

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