AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (283.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Lifespan of the non-resistive Hall-MHD system with small magnetic gradient

Linbin Yang, Taoran Zhou( )
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Show Author Information

Abstract

In this paper, we studied the non-resistive axially symmetric Hall-Magnetohydrodynamics (MHD) system. We showed that the lifespan of their strong solutions can be arbitrarily large if their initial magnetic gradient was small enough. Precise lifespan lower bounds for both viscid and inviscid cases were given.

Keywords

non-resistiveHall-MHD equationsaxially symmetricsmall magnetic gradientlifespan
CLC number: 35Q35, 76B03, 76D03

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 2,
February 2026
Pages 4966-4984
DOI: 10.3934/math.2026203

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Yang L, Zhou T. Lifespan of the non-resistive Hall-MHD system with small magnetic gradient. AIMS Mathematics, 2026, 11(2): 4966-4984. https://doi.org/10.3934/math.2026203

123

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 11 December 2025
Revised: 31 January 2026
Accepted: 09 February 2026
Published: 27 February 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)