抄録
In this paper we are concerned with the initial boundary value problem of the micropolar fluid system in a three dimensional bounded domain. We study the resolvent problem of the linearized equations and prove the generation of analytic semigroup and its time decay estimates. In particular, L p-Lq type estimates are obtained. By use of the L p-Lq estimates for the semigroup, we prove the existence theorem of global in time solution to the original nonlinear problem for small initial data. Furthermore, we study the magneto-micropolar fluid system in the final section.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 1507-1526 |
| ページ数 | 20 |
| ジャーナル | Mathematical Methods in the Applied Sciences |
| 巻 | 28 |
| 号 | 13 |
| DOI | |
| 出版ステータス | 出版済み - 2005/09/10 |
ASJC Scopus 主題領域
- 数学一般
- 工学一般