Steady-state bifurcations of the three-dimensional Kolmogorov problem

This paper studies the spatially periodic incompressible fluid motion in $mathbb R^3$ excited by the external force $k^2(sin kz, 0,0)$ with $kgeq 2$ an integer. This driving force gives rise to the existence of the unidirectional basic steady flow $u_0=(sin kz,0, 0)$ for any Reynolds number. It is s...

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Bibliographic Details
Main Authors: Zhi-Min Chen, Shouhong Wang
Format: Article
Language:English
Published: Texas State University 2000-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/58/abstr.html