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arXiv · 2603.16767

Nonlinear Landau damping for the two-species screened Vlasov-Poisson system with large initial distributions

Yi Wang·Meixia Xiao·Hang Xiong
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Abstract

We investigate nonlinear Landau damping for the two-species screened Vlasov-Poisson system with large initial distributions on the phase space $\mathbb{R}^d \times \mathbb{R}^d$ (where $d \geq 3$). Under a structural quasi-neutrality condition, we establish the existence and uniqueness of global strong solutions to the two-species system with arbitrarily large initial distributions. Furthermore, we prove the time-asymptotic stability of Penrose-stable equilibria and establish the optimal decay rate $t^{-d}$ for the net charge density, thereby verifying the nonlinear Landau damping effect for the two-species screened Vlasov-Poisson system in the whole space. To the best of our knowledge, this represents the first result on Landau damping for the two-species Vlasov-Poisson system with large initial distributions that are significantly far from equilibrium.

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Yi Wang, Meixia Xiao, Hang Xiong. 2026-03-17. Nonlinear Landau damping for the two-species screened Vlasov-Poisson system with large initial distributions. https://arxiv.org/abs/2603.16767

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