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math.AP2023
Blow-up of dynamically restricted critical norms near a potential Navier-Stokes singularity
Tobias Barker, Pedro Gabriel Fernández-Dalgo, Christophe Prange
In this paper we develop new methods to obtain regularity criteria for the three-dimensional Navier-Stokes equations in terms of dynamically restricted endpoint critical norms: the…
math.AP2023
On symmetry breaking for the Navier-Stokes equations
Tobias Barker, Christophe Prange, Jin Tan
Inspired by an open question by Chemin and Zhang about the regularity of the 3D Navier-Stokes equations with one initially small component, we investigate symmetry breaking and sym…