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 (232.6 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

Energy equality for the compressible Navier-Stokes-Korteweg equations

Hui Fang1, Yihan Fan1,2, Yanping Zhou1,2( )
College of Science, China Three Gorges University, Yichang 443002, China
Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China
Show Author Information

Abstract

In this paper, we investigate the problem of energy equality of the two and three dimensional compressible Navier-Stokes-Korteweg equations with general pressure law. By using the commutator estimation to deal with the nonlinear terms, we obtain the sufficient conditions for the regularity of weak solutions to conserve the energy.

Keywords

Navier-Stokes-Korteweg equationscompressible fluidsenergy equality
CLC number: 35Q35, 76N10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5808-5820
DOI: 10.3934/math.2022321

{{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:
Fang H, Fan Y, Zhou Y. Energy equality for the compressible Navier-Stokes-Korteweg equations. AIMS Mathematics, 2022, 7(4): 5808-5820. https://doi.org/10.3934/math.2022321

0

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 28 October 2021
Revised: 22 December 2021
Accepted: 05 January 2022
Published: 15 April 2022
©2022 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)