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Asymptotic stability for the Navier–Stokes equations in the marginal class
Journal article   Peer reviewed

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

Yong Zhou
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Vol.136(5), pp.1099-1109
01/10/2006
DOI: https://doi.org/10.1017/S0308210500004893

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.

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