相对论性弗拉索夫-麦克斯韦系统的一个玩具模型

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-06-21 DOI:10.3934/krm.2021053

Jonathan Ben-Artzi, S. Pankavich, Junyong Zhang

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引用次数: 0

摘要

经过近四十年的数学研究，相对论Vlasov-Maxwell (RVM)系统的经典解在三维空间中的全局存在性仍然是难以捉摸的。本文提出并研究了一个简化的“玩具模型”。这个玩具模型保留了RVM系统的一个关键方面:分布函数的相空间演化由一个输运方程控制，该输运方程的强迫项满足传播速度有限的波动方程。

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A toy model for the relativistic Vlasov-Maxwell system

The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathematical research. In this note, a simplified "toy model" is presented and studied. This toy model retains one crucial aspect of the RVM system: the phase-space evolution of the distribution function is governed by a transport equation whose forcing term satisfies a wave equation with finite speed of propagation.

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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.