32 citations · 147 across the 22 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
Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids
Edoardo Bocchi, Francesco Fanelli, Christophe Prange
The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stre…
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…