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

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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 Operating system Locally compact space Thermodynamics

Nikolay M. Evstigneev ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1088/1742-6596/1730/1/012078 · OA: W3128181658

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.