32 citations · 147 across the 22 of their papers we have counts for
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math.AP2019★ 1 cited
Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law
Mitsuo Higaki, Christophe Prange
We investigate regularity estimates for the stationary Navier-Stokes equations above a highly oscillating Lipschitz boundary with the no-slip boundary condition. Our main result is…
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…