Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 6
77
Views
0
CrossRef citations to date
0
Altmetric
Articles

Global Well-posedness for an incompressible flow with intrinsic degrees of freedom in bounded domains

Pages 1004-1015 | Received 27 Jan 2016, Accepted 16 Mar 2016, Published online: 04 Apr 2016
 

Abstract

We consider a mathematical model for an incompressible Newtonian fluid with intrinsic degrees of freedom in a smooth bounded domain. We first show that there exists a unique local strong solution for large initial data. Then, we prove that the local strong solution is indeed global provided that the initial data is sufficiently small. Furthermore, we prove that when the strong solution exists, all the global weak solutions constructed by Lions must be equal to the unique strong solution with the same initial data.

AMS Subject Classifications:

Acknowledgements

The author thanks Prof. Cheng He for helpful discussions.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The author was supported in part by the National Natural Science Foundation of China [grant number 11226169]; Doctor Fund of Henan Polytechnic University [grant number B2012-110].

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.