Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain - Collections

＜preprint＞
Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain

Creator	Creator Name Aoyama, Reika 青山, 鈴香アオヤマ, レイカ
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	2015-04-30
Source Title	MI Preprint Series
Vol	2015-4
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	Stability of parallel flow of the compressible Navier-Stokes equation in a cylindrical domain is studied. It is shown that if the Reynolds and Mach numbers are sufficiently small, then parallel flow i...s asymptotically stable and the asymptotic leading part of the disturbances is described by a one dimensional viscous Burgers equation.show more

File	FileType	Size	Views	Description
MI2015-4	pdf	266 KB	265

Record ID	1525807
Peer-Reviewed	Unrefereed
Subject Terms	Compressible Navier-Stokes equation
	parallel flow
	cylindrical domain
	viscous Burgers equation asymptotic behavior
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