On the rate of decay of the oseen semigroup in exterior domains and its application to Navier-Stokes equation

Yuko Enomoto, Yoshihiro Shibata

研究成果: Article査読

40 被引用数 (Scopus)

抄録

We prove L p -L q estimates of the Oseen semigroup in n-dimensional exterior domains $$(n\,\geqslant\, 3),$$ which refine and improve those obtained by Kobayashi and Shibata [15]. As an application, we give a globally in time stability theory for the stationary Navier-Stokes flow whose velocity at infinity is a non-zero constant vector. We thus extend the result of Shibata [21]. In particular, we find an optimal rate of convergence of solutions of the non-stationary problem to those of the corresponding stationary problem.

本文言語English
ページ(範囲)339-367
ページ数29
ジャーナルJournal of Mathematical Fluid Mechanics
7
3
DOI
出版ステータスPublished - 2005 8
外部発表はい

ASJC Scopus subject areas

  • 数理物理学
  • 凝縮系物理学
  • 計算数学
  • 応用数学

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