25 citations · 26 across the 2 of their papers we have counts for
4 papers
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…
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…
Uniform Lipschitz Estimates in Bumpy Half-Spaces
Carlos Kenig, Christophe Prange
This paper is devoted to the proof of uniform Hölder and Lipschitz estimates close to oscillating boundaries, for divergence form elliptic systems with periodically oscillating coe…
Asymptotic analysis of boundary layer correctors in periodic homogenization
Christophe Prange
This paper is devoted to the asymptotic analysis of boundary layers in periodic homogenization. We investigate the behaviour of the boundary layer corrector, defined in the half-sp…