On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier-Stokes equations

Yasunori Maekawa

doi:10.1515/anly-2014-1302

On asymptotic stability of global solutions in the weak L² space for the two-dimensional Navier-Stokes equations

Yasunori Maekawa

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper we prove the asymptotic stability of small global solutions in the weak L² space for the two-dimensional Navier-Stokes equations under a natural functional setting for the class of perturbations. Our result is a global one, that is, we do not impose any smallness on the perturbations.

Original language	English
Pages (from-to)	245-257
Number of pages	13
Journal	Analysis (Germany)
Volume	35
Issue number	4
DOIs	https://doi.org/10.1515/anly-2014-1302
Publication status	Published - 2015 Nov 1

Keywords

Navier-Stokes equations, large-time asymptotics, two-dimensional exterior domains, scale critical space, weak L space

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

Access to Document

10.1515/anly-2014-1302

Cite this

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abstract = "In this paper we prove the asymptotic stability of small global solutions in the weak L2 space for the two-dimensional Navier-Stokes equations under a natural functional setting for the class of perturbations. Our result is a global one, that is, we do not impose any smallness on the perturbations.",

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