| タイトル | Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation |
| 本文（外部サイト） | https://catalog.lib.kyushu-u.ac.jp/opac_download_md/1547351/MI2015-9.pdf |
| 参考URL | http://hdl.handle.net/2324/1547351 |
| 著者（英） | Kagei, Yoshiyuki; Nishida, Takaaki |
| 発行日 | 2016-01-07 |
| 発行機関など | Faculty of Mathematics, Kyushu University |
| 刊行物名 | MI Preprint Series |
| 巻 | 2015-9 |
| 刊行年月日 | 2015-10-16 |
| 言語 | eng |
| 内容記述 | 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 necessarily 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. |
| キーワード | Compressible Navier-Stokes equation; Poiseuille flow; bifurcation; spatially periodic traveling wave |
| 資料種別 | Preprint |
| 著者版フラグ | author |
