Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain - Collections

＜preprint＞
Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain

Creator	Creator Name Aoyama, Reika 青山, 鈴香アオヤマ, レイカ Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学府
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
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2015-03-31
Source Title	MI Preprint Series
Vol	2015-2
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	This paper is concerned with the stability of a parallel flow of the compressible Navier-Stokes equation in a cylindrical domain. The spectrum of the linearized operator is analyzed for the purpose of... the study of the nonlinear stability. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of a one dimensional heat equation as time goes to infinity and the other one decays exponentially. Some estimates related to the spectral projections are established, which will also be useful for the study of the nonlinear problem.show more

File	FileType	Size	Views	Description
MI2015-2	pdf	229 KB	297

Record ID	1500417
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	2015.04.24
Modified Date	2018.02.28