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math.AP2019★ 8 cited
Finite-time blowup for a Navier-Stokes model equation for the self-amplification of strain
Evan Miller
In this paper, we consider a model equation for the Navier--Stokes strain equation. This model equation has the same identity for enstrophy growth and a number of the same regulari…
math.AP2019★ 5 cited
Global regularity for solutions of the three dimensional Navier-Stokes equation with almost two dimensional initial data
Evan Miller
In this paper, we will prove a new result that guarantees the global existence of solutions to the Navier--Stokes equation in three dimensions when the initial data is sufficiently…