Well-posedness for an hyperbolic–hyperbolic–elliptic system describing cold plasmas

Alonso-Orán, Diego; Granero Belinchón, Rafael

doi:10.1016/j.aml.2023.108863

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Identificadores

URI: https://hdl.handle.net/10902/32774

DOI: 10.1016/j.aml.2023.108863

ISSN: 0893-9659

ISSN: 1873-5452

Fecha

2024-01

Derechos

Publicado en

Applied Mathematics Letters, 2024, 147, 108863

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.aml.2023.108863

Palabras clave

Cold plasma

Well-posedness

Hyperbolic–hyperbolic–elliptic system

Resumen/Abstract

In this short note, we provide the well-posedness for an hyperbolic-hyperbolic-elliptic system of PDEs describing the motion of collision free-plasma in magnetic fields. The proof combines a pointwise estimate together with a bootstrap type argument for the elliptic part of the system.

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©2023 TheAuthor(s). Published by Elsevier Ltd. This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Excepto si se señala otra cosa, la licencia del ítem se describe como ©2023 TheAuthor(s). Published by Elsevier Ltd. This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).