A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

Jonathan Ben-Artzi; Stephen Pankavich; Junyong Zhang

doi:10.3934/krm.2021053

A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

Jonathan Ben-Artzi^*, Stephen Pankavich, Junyong Zhang

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	341-354
页数	14
期刊	Kinetic and Related Models
卷	15
期	3
DOI	https://doi.org/10.3934/krm.2021053
出版状态	已出版 - 6月 2022

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10.3934/krm.2021053

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Ben-Artzi, J., Pankavich, S., & Zhang, J. (2022). A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM. Kinetic and Related Models, 15(3), 341-354. https://doi.org/10.3934/krm.2021053

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title = "A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM",

abstract = "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.",

keywords = "Global existence, Kinetic theory, Vlasov-maxwell system",

author = "Jonathan Ben-Artzi and Stephen Pankavich and Junyong Zhang",

year = "2022",

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AU - Pankavich, Stephen

AU - Zhang, Junyong

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N2 - 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.

AB - 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.

KW - Global existence

KW - Kinetic theory

KW - Vlasov-maxwell system

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U2 - 10.3934/krm.2021053

DO - 10.3934/krm.2021053

M3 - Article

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A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

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