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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)
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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

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