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20152026
most citedUniqueness Results for Weak Leray-Hopf Solutions of the Navier-Stokes System with Initial Values in Critical Spaces

28 citations · 131 across the 24 of their papers we have counts for

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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…