28 citations · 131 across the 24 of their papers we have counts for
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math.AP2021
Localized smoothing and concentration for the Navier-Stokes equations in the half space
Dallas Albritton, Tobias Barker, Christophe Prange
We establish a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space. The whole space analogue, due to Jia and Šverák [JŠ14], is a central to…
math.AP2021
Higher integrability and the number of singular points for the Navier-Stokes equations with a scale-invariant bound
Tobias Barker
First, we show that if the pressure (associated to a weak Leray-Hopf solution of the Navier-Stokes equations) satisfies $\|p\|_{L^{\infty}_{t}(0,T^*; L^{\frac{3}{2},\infty}…
math.AP2021
Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure
Tobias Barker, Wendong Wang
In this paper, we investigate systematically the supercritical conditions on the pressure associated to a Navier-Stokes solution (in three-dimensions), which ensure a reduc…