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 Electronic Research Archive Article
PDF (552.2 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 solutions for inhomogeneous micropolar equations with density-dependent coefficients and large data

Peng Lu1( ), Yuanyuan Qiao2
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
Show Author Information

Abstract

In this paper, we consider the Dirichlet problem of three-dimensional inhomogeneous incompressible micropolar equations with density-dependent viscosity. Under the assumption that the coefficients are power functions of the density, we establish the global existence of strong solutions as long as the initial density is linearly equivalent to a large constant state. There is no restriction on the size of the initial velocity and micro-rotational velocity. As a byproduct, we prove the exponential decay for the solution.

Keywords

inhomogeneous incompressible micropolar equationsdensity-dependent coefficientsglobal strong solutionslarge initial dataexponential decay

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 33 Issue 12,
December 2025
Pages 7600-7618
DOI: 10.3934/era.2025336

{{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:
Lu P, Qiao Y. Global solutions for inhomogeneous micropolar equations with density-dependent coefficients and large data. Electronic Research Archive, 2025, 33(12): 7600-7618. https://doi.org/10.3934/era.2025336

133

Views

4

Downloads

1

Crossref

1

Web of Science

0

Scopus
Received: 28 September 2025
Revised: 14 November 2025
Accepted: 02 December 2025
Published: 18 December 2025
©2025 the Author(s), licensee AIMS Press.

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