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 (250.2 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

Global weighted regularity for the 3D axisymmetric non-resistive MHD system

Wenjuan Liu1, Zhouyu Li2( )
School of Mathematics, Northwest University, Xi'an 710069, China
School of Sciences, Xi'an University of Technology, Xi'an 710054, China
Show Author Information

Abstract

We consider the regularity criteria of axisymmetric solutions to the non-resistive MHD system with non-zero swirl in R3. By applying a new anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces, we show that strong solutions to this system can be smoothly extended beyond the possible blow-up time T if the horizontal angular component of the velocity belongs to anisotropic Lorentz spaces.

Keywords

non-resistive MHD systemanisotropic Lorentz spacesregularity criteria
CLC number: 35B65, 35Q35, 76D03

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 20905-20918
DOI: 10.3934/math.20241017

{{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:
Liu W, Li Z. Global weighted regularity for the 3D axisymmetric non-resistive MHD system. AIMS Mathematics, 2024, 9(8): 20905-20918. https://doi.org/10.3934/math.20241017

6

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 19 April 2024
Revised: 24 June 2024
Accepted: 25 June 2024
Published: 15 August 2024
©2024 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)