1 citations
5 papers
A lecture on Navier-Stokes equations
Sylvie Monniaux
The content of the following pages was part of a special topics lecture given at the Australian National University during the first semester of 2026. That was a very nice experice…
The Hall problem in domains
Sylvie Monniaux
In this paper, we develop a framework based on differential forms that enables us to deal with the Hall problem on domains in any dimension . In the case of smooth bounded d…
Kinetic Sobolev Spaces
Pascal Auscher, Lukas Niebel
We define and study homogeneous kinetic Sobolev spaces adapted to the Kolmogorov equation. We consider both local and non-local diffusion. The spaces are built from the Lebesgue sp…
The magnetohydrodynamical system in bounded non smooth domains of dimension
Sylvie Monniaux
Existence of mild solutions for the magnetohydrodynamical system in C 1 domains is established in critical spaces in dimension n 3. The proof relies on recent regularity resul…
Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness
Pascal Auscher, Cyril Imbert, Lukas Niebel
We prove existence, uniqueness and regularity of weak solutions of Kolmogorov--Fokker--Planck equations with either local or non-local diffusion in the velocity variable and rough…