On the existence and stability of time periodic solution to the compressible Navier-Stokes equation on the whole space - Collections

＜preprint＞
On the existence and stability of time periodic solution to the compressible Navier-Stokes equation on the whole space

Creator	Creator Name Tsuda, Kazuyuki 津田, 和幸ツダ, カズユキ Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2014-09-08
Source Title	MI Preprint Series
Vol	2014-10
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	The existence of a time periodic solution of the compressible Navier-Stokes equation on the whole space is proved for sufficiently small time periodic external force when the space dimension is greate...r 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 L^∞ and Sobolev spaces. The time periodic solution is shown to be asymptotically stable under sufficiently small initial perturbations and the L^∞ norm of the perturbation decays as time goes to infinity.show more

File	FileType	Size	Views	Description
MI2014-10	pdf	245 KB	429

Record ID	1470205
Peer-Reviewed	Unrefereed
Notes	The Global COE Program Mathematics-for-Industry Education & Research Hub
Notes	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」
Created Date	2014.10.17
Modified Date	2018.02.27