Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-16T22:41:41.834Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymptotic stability for the Navier–Stokes equations in the marginal class

Published online by Cambridge University Press:  12 July 2007

Yong Zhou
Yong Zhou
Affiliation:
Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China (yzhou@math.ecnu.edu.cn)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we consider the Navier–Stokes equations in Rn, n ≥ 3. We prove the asymptotic stability for weak solutions in the marginal class u ∈ L2(0, ∞; BMO), where ‘BMO’ denotes the bounded mean oscillation function, with arbitrary initial and external perturbations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 5 , October 2006 , pp. 1099 - 1109
Copyright
Copyright © Royal Society of Edinburgh 2006

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.)