Navier–Stokes equations with external forces in time-weighted Besov spaces

Hideo Kozono*, Senjo Shimizu

*この研究の対応する著者

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We show existence theorem of global mild solutions with small initial data and external forces in the time-weighted Besov space which is an invariant space under the change of scaling. The result on local existence of solutions for large data is also discussed. Our method is based on the Lp-Lq estimate of the Stokes equations in Besov spaces. Since we construct the global solution by means of the implicit function theorem, as a byproduct, its stability with respect to the given data is necessarily obtained.

本文言語English
ページ(範囲)1781-1800
ページ数20
ジャーナルMathematische Nachrichten
291
11-12
DOI
出版ステータスPublished - 2018 8

ASJC Scopus subject areas

  • 数学 (全般)

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