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

Yuko Enomoto, Yoshihiro Shibata

41 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 339-367 29 Journal of Mathematical Fluid Mechanics 7 3 https://doi.org/10.1007/s00021-004-0132-8 Published - 2005 8月 はい

• 数理物理学
• 凝縮系物理学
• 計算数学
• 応用数学

## フィンガープリント

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