Disconnected stationary solutions for 2D Kolmogorov flow problem in periodic domain

Abstract

Abstract The classical A.N. Kolmogorov’s flow problem for the stationary 2D Navier-Stokes equations on a stretched torus for velocity vector function is considered. The problem is analysed by the construction of the solution curves in the parameter-phase space and analysis of disconnected solutions is performed. Disconnected solutions from the main solution branch are found.