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Spatial symmetry invariance of solution of Kolmogorov flow

Liao, Shijun
arXiv (OAI Expanded) · Papers
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analysis-of-pdeschaotic-dynamicsfluid-dynamicsmathematical-physicsnumerical-analysis
We prove a mathematical theorem that solution for all $t > 0$ of the two-dimensional (2D) Kolmogorov flow governed by Navier-Stokes (NS) equations with periodic boundary condition keeps the same spatial symmetry as its smooth initial condition. The proof of a similar theorem for the three-dimensiona
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