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 (258 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

Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term

Oussama Melkemi1, Mohammed S. Abdo2, Wafa Shammakh3( ), Hadeel Z. Alzumi3
Laboratory of partial differential equations and applications, the University of Batna 2, Batna 05000, Algeria
Department of Mathematics, Hodeidah University, P.O. Box 3114, Al Hudaydah, Yemen
Department of Mathematics, University of Jeddah, Faculty of Science, Jeddah, Saudi Arabia
Show Author Information

Abstract

The present article investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and general source term. First, we show that this system admits a global solution of Yudovich type, and as a consequence, we treat the regular vortex patch issue.

Keywords

Boussinesq systemweak solutionsBesov spacesfractional dissipationregular vortex patch
CLC number: 35Q35, 35B65, 76D03

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 18566-18580
DOI: 10.3934/math.2023944

{{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:
Melkemi O, Abdo MS, Shammakh W, et al. Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term. AIMS Mathematics, 2023, 8(8): 18566-18580. https://doi.org/10.3934/math.2023944

6

Views

0

Downloads

1

Crossref

2

Web of Science

2

Scopus
Received: 19 March 2023
Revised: 14 May 2023
Accepted: 19 May 2023
Published: 15 August 2023
©2023 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)