32 citations · 147 across the 22 of their papers we have counts for
3 papers · 2 filters
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…
Motion of several slender rigid filaments in a Stokes flow
Richard M. Höfer, Christophe Prange, Franck Sueur
We investigate the dynamics of several slender rigid bodies moving in a flow driven by the three-dimensional steady Stokes system in presence of a smooth background flow. More prec…
Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries
Mitsuo Higaki, Christophe Prange, Jinping Zhuge
In this paper we address the large-scale regularity theory for the stationary Navier-Stokes equations in highly oscillating bumpy John domains. These domains are very rough, possib…