抄録
In this paper, we obtain local energy decay estimates and L p-Lq estimates of the solutions to the Stokes equations with Neumann boundary condition which is obtained as a linearized equation of the free boundary problem for the Navier-Stokes equations. Comparing with the non-slip boundary condition case, we have a better decay estimate for the gradient of the semigroup because of the null force at the boundary.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1-34 |
| ページ数 | 34 |
| ジャーナル | Journal of the Mathematical Society of Japan |
| 巻 | 59 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 2007 1月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)