Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T07:35:41.500Z Has data issue: false hasContentIssue false
  • English
  • Français

Weighted regularity criteria for the three-dimensional Navier—Stokes equations

Published online by Cambridge University Press:  26 May 2009

Yong Zhou
Yong Zhou
Affiliation:
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We establish some regularity criteria in terms of the velocity field with weight for the Navier—Stokes equations in ℝ3. It is proved that if the weak solution satisfies

or

then the weak solution actually is regular up to time T.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 3 , June 2009 , pp. 661 - 671
Copyright
Copyright © Royal Society of Edinburgh 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)