- In this note, we show that if the velocity field v is in L ∞(BMO -1), then all sealed energy quantities are bounded. An interesting consequence is that every axially symmetric solution to the Navier-Stokes equations belonging to L ∞(BMO -1) is smooth. Bibliography: 7 titles. © 2012 Springer Science+Business Media, Inc.
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A note on bounded scale-invariant quantities for the Navier-Stokes equations
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