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

Cardiff University
Colorado School of Mines

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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@article{b1b6949a358d49baa0e2513d14800b98,

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 {\textquotedblleft}toy model{\textquotedblright} is presented and studied.",

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

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

year = "2022",

month = jun,

doi = "10.3934/krm.2021053",

language = "English",

volume = "15",

pages = "341--354",

journal = "Kinetic and Related Models",

issn = "1937-5093",

publisher = "American Institute of Mathematical Sciences",

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TY - JOUR

T1 - A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

AU - Ben-Artzi, Jonathan

AU - Pankavich, Stephen

AU - Zhang, Junyong

PY - 2022/6

Y1 - 2022/6

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

UR - https://www.scopus.com/pages/publications/85128804545

U2 - 10.3934/krm.2021053

DO - 10.3934/krm.2021053

M3 - Article

AN - SCOPUS:85128804545

SN - 1937-5093

VL - 15

SP - 341

EP - 354

JO - Kinetic and Related Models

JF - Kinetic and Related Models

IS - 3

ER -

A TOY MODEL FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM

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Keywords

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