点电荷情形下三维Vlasov-Poisson系统的Cauchy问题
偏微分方程分析
2015-05-18 v1 数学物理
math.MP
摘要
本文在排斥相互作用情形下，建立了存在点电荷时三维Vlasov-Poisson系统解的全局存在性与唯一性。本分析将Caprino与Marchioro关于二维情形的类似结果[On the plasma-charge model, to appear in Kinetic and Related Models (2010)]推广到了三维。
引用
@article{arxiv.1003.0643,
title = {The Cauchy problem for the 3-D Vlasov-Poisson system with point charges},
author = {Carlo Marchioro and Evelyne Miot and Mario Pulvirenti},
journal= {arXiv preprint arXiv:1003.0643},
year = {2015}
}
备注
28 pages