Traveling Waves Bifurcating from Plane Poiseuille Flow of the Compressible Navier-Stokes Equation
Traveling Waves Bifurcating from Plane Poiseuille Flow of the Compressible Navier-Stokes Equation
复制标题
可压缩纳维-斯托克斯方程平面泊肃叶流的行波分叉
DOI：
10.1007/s00205-018-1269-6
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Yoshiyuki Kagei and Takaaki Nishida
中科院分区：
文献类型：
--
作者：
西岡秀樹;木野勝;山本広大;Yoshiyuki Kagei and Takaaki Nishida
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 flow when the critical eigenvalues cross the imaginary axis.
