Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry - Collections

＜preprint＞
Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry

Creator	Author PID K001311 Creator Name Kagei, Yoshiyuki 隠居, 良行カゲイ, ヨシユキ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学数理学研究院
Creator	Creator Name Tsuda, Kazuyuki 津田, 和幸ツダ, カズユキ Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学数理学府
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2014-04
Source Title	MI Preprint Series
Vol	2014-5
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	Time periodic problem for the compressible Navier-Stokes equation on the whole space is studied. The existence of a time periodic solution is proved for sufficiently small time periodic external force... with some symmetry when the space dimension is greater than or equal to 3. The proof is based on the spectral properties of the time-T map associated with the linearized problem around the motionless state with constant density in some weighted Sobolev space. The stability of the time periodic solution is also proved and the decay estimate of the perturbation is established. show more

File	FileType	Size	Views	Description
MI2014-5	pdf	273 KB	402

Record ID	1456075
Peer-Reviewed	Unrefereed
Notes	Global COE Program Education-and-Research Hub for Mathematics-for-Industry
	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」
	This work is partly supported by KAKENHI(24340028, 22244009, 24224003)
	論文の一部は科研費による(24340028, 22244009, 24224003)
Created Date	2014.07.25
Modified Date	2018.02.27