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math.AP2019★ 3 cited
Asymptotic Criticality of the Navier-Stokes Regularity Problem
Zoran Grujic, Liaosha Xu
The problem of global-in-time regularity for the 3D Navier-Stokes equations, i.e., the question of whether a smooth flow can exhibit spontaneous formation of singularities, is a fu…
math.AP2019★ 2 cited
A Regularity Criterion for Solutions to the 3D NSE in `Dynamically Restricted' Local Morrey Spaces
Zoran Grujic, Liaosha Xu
It is shown that a local-in-time strong solution to the 3D Navier-Stokes equations remains regular on an interval provided a smallness -condition on in a lower…