Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving - Collections

＜preprint＞
Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving

Creator	Creator Name Kagei, Yoshiyuki 隠居, 良行カゲイ, ヨシユキ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Creator	Creator Name Oomachi, Ryouta 大町, 亮太オオマチ, リョウタ Creator Alternative Name Omachi, Ryota
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2015-09-03
Source Title	MI Preprint Series
Vol	2015-8
Publication Type	Author's Original
Access Rights	open access
Related DOI	https://www.math.kyushu-u.ac.jp/
Related URI	https://www.math.kyushu-u.ac.jp/
Relation	https://www.math.kyushu-u.ac.jp/
Abstract	Navier-Stokes system on the half space with periodically oscillating boundary has a time periodic solution which depends on time variable and vertical variable only. It is proved that the time periodi...c solution is asymptotically stable when the Reynolds number is sufficiently small; and the decay estimates of the perturbations are established in the frameworks of both strong and weak solutions.show more

File	FileType	Size	Views	Description
MI2015-8	pdf	280 KB	321

Record ID	1525811
Peer-Reviewed	Unrefereed
Notes	The Global COE Program Mathematics-for-Industry Education & Research Hub
	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
	Y. Kagei was partly supported by JSPS KAKENHI Grant Number 24340028, 22244009, 24224003.
Created Date	2015.09.28
Modified Date	2018.01.24