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 (220.7 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

Vanishing viscosity limit of incompressible flow around a small obstacle: A special case

School of Mathematics, Northwest University, Xi'an 710069, China
Show Author Information

Abstract

In this paper, we consider two dimensional viscous flow around a small obstacle. In [4], the authors proved that the solutions of the Navier-Stokes system around a small obstacle of size ε converge to solutions of the Euler system in the whole space under the condition that the size of the obstacle ε is smaller than a suitable constant K times the kinematic viscosity ν. We show that, if the Euler flow is antisymmetric, then this smallness condition can be removed.

Keywords

Navier-Stokes equationsEuler equationsvanishing viscosity limitexterior domainboundary layer
CLC number: 35Q30, 76D05, 76D10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2611-2621
DOI: 10.3934/math.2023135

{{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:
You X. Vanishing viscosity limit of incompressible flow around a small obstacle: A special case. AIMS Mathematics, 2023, 8(2): 2611-2621. https://doi.org/10.3934/math.2023135

11

Views

0

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 13 September 2022
Revised: 27 October 2022
Accepted: 01 November 2022
Published: 15 February 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)