On time decay for the spherically symmetric Vlasov-Poisson system

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-01-01 DOI:10.3934/krm.2021021

Jack Schaeffer

引用次数: 0

Abstract

A collisionless plasma is modeled by the Vlasov-Poisson system. Solutions in three space dimensions that have smooth, compactly supported initial data with spherical symmetry are considered. An improved field estimate is presented that is based on decay estimates obtained by Illner and Rein. Then some estimates are presented that ensure only particles with sufficiently small velocity can be found within a certain (time dependent) ball.

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球对称Vlasov-Poisson系统的时间衰减

用Vlasov-Poisson系统模拟无碰撞等离子体。考虑具有光滑、紧支撑的初始数据和球对称的三维空间解。在Illner和Rein的衰减估计的基础上，提出了一种改进的场估计。然后给出了一些估计，以确保在某个(与时间相关的)球内只能找到速度足够小的粒子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.