28 citations · 131 across the 24 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.AP2019
Local Hadamard well-posedness results for the Navier-Stokes equations
Tobias Barker
In this paper we consider classes of initial data that ensure local-in-time Hadamard well-posedness of the associated weak Leray-Hopf solutions of the three-dimensional Navier-Stok…
math.AP2019★ 6 cited
Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions
Tobias Barker, Christophe Prange
This paper is concerned with geometric regularity criteria for the Navier-Stokes equations in with no-slip boundary condition, with the assumption th…
math.AP2019★ 4 cited
Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities
Tobias Barker, Christophe Prange
This paper is concerned with two dual aspects of the regularity question of the Navier-Stokes equations. First, we prove a local in time localized smoothing effect for local energy…