NONLINEAR STABILITY OF THE ONE DIMENSIONAL SCREENED VLASOV POISSON EQUATION

被引：0

作者：

Wei, Dongyi ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2025年

关键词：

Vlasov Poisson equation; stability; Gevrey regularity; decay estimates; Lagrangian approach; GLOBAL EXISTENCE; SYSTEM; REGULARITY;

D O I：

10.3934/cpaa.2025054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页数：21

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