The Navier-Stokes equations in the weak-Ln space with time-dependent external force

Masao Yamazaki*

*この研究の対応する著者

研究成果: Article査読

120 被引用数 (Scopus)

抄録

We consider the Navier-Stokes equations with time-dependent external force, either in the whole time or in positive time with initial data, with domain either the whole space, the half space or an exterior domain of dimension n ≥ 3. We give conditions on the external force sufficient for the unique existence of small solutions in the weak-Ln space bounded for all time. In particular, this result gives sufficient conditions for the unique existence and the stability of small time-periodic solutions or almost periodic solutions. This result generalizes the previous result on the unique existence and the stability of small stationary solutions in the weak-Ln space with time-independent external force.

本文言語English
ページ(範囲)635-675
ページ数41
ジャーナルMathematische Annalen
317
4
DOI
出版ステータスPublished - 2000 8
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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