Open AccessDisconnected stationary solutions for 2D Kolmogorov flow problem in periodic domain
Author(s) -
Н. М. Евстигнеев
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1730/1/012078
Subject(s) - torus , totally disconnected space , mathematics , domain (mathematical analysis) , flow (mathematics) , mathematical analysis , space (punctuation) , phase space , velocity vector , vector field , combinatorics , physics , geometry , classical mechanics , computer science , locally compact space , thermodynamics , operating system
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.