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math.AP2020
Mild criticality breaking for the Navier-Stokes equations
Tobias Barker, Christophe Prange
In this short paper we prove the global regularity of solutions to the Navier-Stokes equations under the assumption that slightly supercritical quantities are bounded. As a consequ…
math.AP2020★ 27 cited
Quantitative regularity for the Navier-Stokes equations via spatial concentration
Tobias Barker, Christophe Prange
This paper is concerned with quantitative estimates for the Navier-Stokes equations. First we investigate the relation of quantitative bounds to the behaviour of critical norms nea…