4 citations · 5 across the 4 of their papers we have counts for
8 papers
From concentration to quantitative regularity: a short survey of recent developments for the Navier-Stokes equations
Tobias Barker, Christophe Prange
In this short survey paper, we focus on some new developments in the study of the regularity or potential singularity formation for solutions of the 3D Navier-Stokes equations. Som…
Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids
Edoardo Bocchi, Francesco Fanelli, Christophe Prange
The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stre…
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…
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…
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…
On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain
Yasunori Maekawa, Hideyuki Miura, Christophe Prange
We study the three-dimensional Navier-Stokes equations in the presence of the axisymmetric linear strain, where the strain rate depends on time in a specific manner. It is known th…