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

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	341-354
Number of pages	14
Journal	Kinetic and Related Models
Volume	15
Issue number	3
DOIs	https://doi.org/10.3934/krm.2021053
Publication status	Published - Jun 2022

Keywords

Global existence
Kinetic theory
Vlasov-maxwell system

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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",

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AU - Ben-Artzi, Jonathan

AU - Pankavich, Stephen

AU - Zhang, Junyong

PY - 2022/6

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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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EP - 354

JO - Kinetic and Related Models

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IS - 3

ER -

A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

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Keywords

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