4 papers
Introduction to quantitative De Giorgi methods
Giovanni Brigati, Clément Mouhot
The theory of De Giorgi (1958) and Nash (1959) solves Hilbert's 19th problem and constitutes a major advance in the analysis of PDEs in the 20th century. This theory concerns the H…
Critical trajectories in kinetic geometry
Helge Dietert, Clément Mouhot, Lukas Niebel +1
We construct critical trajectories in kinetic geometry, i.e. curves in that are: tangential to the vector fields and , co…
A consistency-stability approach to scaling limits of zero-range processes
Daniel Marahrens, Angeliki Menegaki, Clément Mouhot
We propose a simple quantitative method for studying the hydrodynamic limit of interacting particle systems on lattices. It is applied to the diffusive scaling of the symmetric Zer…
Gehring's Lemma for kinetic Fokker-Planck equations
Jessica Guerand, Cyril Imbert, Clément Mouhot
In this article, we establish a "Gehring lemma" for a real function satisfying a reverse Hölder inequality on all "kinetic cylinders" contained in a large one: it asserts that the…