1 citations · 1 across the 6 of their papers we have counts for
8 papers
Döblin--Fourier cancellation and kinetic Aleksandrov estimates
Amélie Loher, Connor Mooney, Clément Mouhot
We develop a cancellation mechanism for linear second-order kinetic equations in non-divergence form with measurable uniformly elliptic coefficients. We decompose the dynamics into…
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…
Control of Instability in a Vlasov-Poisson System Through an External Electric Field
Lukas Einkemmer, Qin Li, Clément Mouhot +1
Plasma instabilities are a major concern in plasma science, for applications ranging from particle accelerators to nuclear fusion reactors. In this work, we consider the possibilit…
Quantitative fluid approximation in fractional regimes of transport equations with more invariants
Émeric Bouin, Laura Kanzler, Clément Mouhot
We present an extension of results in a previous paper by the first and the last author [PMP, 2022] about macroscopic limits of linear kinetic equations in (potentially) fractional…
Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
Francesca Anceschi, Helge Dietert, Jessica Guerand +3
We propose a systematic approach based on trajectories to prove a Poincaré inequality for weak non-negative sub-solutions to hypoelliptic equations with an arbitrary number of Hörm…