
Traveling waves bifurcating from plane Poiseuille flow of the compressible NavierStokes equationTraveling waves bifurcating from plane Poiseuille flow of the compressible NavierStokes equation 
"/Kagei, Yoshiyuki/"Kagei, Yoshiyuki ,
"/Nishida, Takaaki/"Nishida, Takaaki
201520151016 , Faculty of Mathematics, Kyushu University
Description
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.
FullText
http://catalog.lib.kyushuu.ac.jp/handle/2324/1547351/MI20159.pdf