Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Prange, Christophe"'
We develop a unified method to obtain the quantitative homogenization of Stokes systems in periodically perforated domains with no-slip boundary conditions on the perforating holes. The main novelty of our paper is a quantitative analysis of the asym
Externí odkaz:
http://arxiv.org/abs/2409.16960
Autor:
Prange, Christophe, Tan, Jin
In the well-known book of Lions [{\em Mathematical topics in fluid mechanics. Incompressible models}, 1996], global existence results of finite energy weak solutions of the inhomogeneous incompressible Navier-Stokes equations (INS) were proved withou
Externí odkaz:
http://arxiv.org/abs/2310.09288
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 critical Lebesgue norm in general or the critical weak Lebesgue norm
Externí odkaz:
http://arxiv.org/abs/2302.06509
Inspired by an open question by Chemin and Zhang about the regularity of the 3D Navier-Stokes equations with one initially small component, we investigate symmetry breaking and symmetry preservation. Our results fall in three classes. First we prove
Externí odkaz:
http://arxiv.org/abs/2302.02836
Autor:
Barker, Tobias, Prange, Christophe
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. Some of the motivating questions are: Are certain norms accumulating/conc
Externí odkaz:
http://arxiv.org/abs/2211.16215
We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier-Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary sy
Externí odkaz:
http://arxiv.org/abs/2211.16188
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 \v{S}ver\'ak [J\v{S}14], is a central tool in two of the authors' recent work on quantitative $L^3_x
Externí odkaz:
http://arxiv.org/abs/2112.10705
Publikováno v:
Analysis & PDE 17 (2024) 171-242
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, possibly with fractals or cusps, at the microscopic scale, but are amenable
Externí odkaz:
http://arxiv.org/abs/2106.09160
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 precisely we consider the limit where the thickness of these slender rigid
Externí odkaz:
http://arxiv.org/abs/2106.03447
Autor:
Barker, Tobias, Prange, Christophe
In this short paper we prove the global regularity of solutions to the Navier-Stokes equations under the assumption that slightly supercritical quantities are bounded. As a consequence, we prove that if a solution $u$ to the Navier-Stokes equations b
Externí odkaz:
http://arxiv.org/abs/2012.09776