Abstract
In the case of the 3D Navier-Stokes equations, it is proved that there exists a constantɛ>0 with the following property: Every time-periodic solution with a period smaller thanɛ is necessarily a stationary solution. An explicit formula for ɛ is also provided.
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Kukavica, I. An absence of a certain class of periodic solutions in the Navier-Stokes equations. J Dyn Diff Equat 6, 175–183 (1994). https://doi.org/10.1007/BF02219192
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DOI: https://doi.org/10.1007/BF02219192