Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation - Collections

＜preprint＞
Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation

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 Nishida, Takaaki 西田, 孝明ニシダ, タカアキ Affiliation Affiliation Name Department of Applied Complex System, Kyoto University 京都大学情報学研究科複雑系科学専攻
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2015-10-16
Source Title	MI Preprint Series
Vol	2015-9
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	Plane Poiseuille flow in viscous compressible fluid is known to be asymptotically stable if Reynolds number R and Mach number M are sufficiently small. On the other hand, for R and M being not necessa...rily small, an instability criterion for plane Poiseuille flow is known; and the criterion says that, when R increases, a pair of complex conjugate eigenvalues of the linearized operator cross the imaginary axis. In this paper it is proved that a spatially periodic traveling wave bifurcates from plane Poiseuille ow when the critical eigenvalues cross the imaginary axis.show more

File	FileType	Size	Views	Description
MI2015-9	pdf	239 KB	489

Record ID	1547351
Peer-Reviewed	Unrefereed
Subject Terms	Compressible Navier-Stokes equation
	Poiseuille flow
	bifurcation
	spatially periodic traveling wave
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 15K13449.
Created Date	2016.01.07
Modified Date	2018.01.24