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math.AP2026
Quantitative estimates for the forced Navier-Stokes equations and applications
Tobias Barker, Henry Popkin
In this paper, we prove a localisation of a slightly supercritical (Orlicz) regularity criterion for the 3D incompressible Navier-Stokes equations. This is a refinement to the rece…
math.AP2024
On rough Calderón solutions to the Navier-Stokes equations and applications to the singular set
Henry Popkin
In 1934, Leray proved the existence of global-in-time weak solutions to the Navier-Stokes equations for any divergence-free initial data in . In the 1980s, Giga and Kato indep…