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

Kagei, Yoshiyuki  ,  Nishida, Takaaki

20152015-10-16 , 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.
Full-Text

http://catalog.lib.kyushu-u.ac.jp/handle/2324/1547351/MI2015-9.pdf

Number of accesses :  

Other information