An absence of a certain class of periodic solutions in the Navier-Stokes equations |
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| Authors: | Igor Kukavica |
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| Institution: | (1) Department of Mathematics, Indiana University, 47405 Bloomington, Indiana |
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| Abstract: | In the case of the 3D Navier-Stokes equations, it is proved that there exists a constant >0 with the following property: Every time-periodic solution with a period smaller than is necessarily a stationary solution. An explicit formula for is also provided. |
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| Keywords: | Navier-Stokes equations periodic solutions stationary solutions |
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