467 citations · 2.6k across the 59 of their papers we have counts for
70 papers
Optimal decay rates for linear kinetic equations in the half-space
Émeric Bouin, Stéphane Mischler, Clément Mouhot
We prove that solutions to linear kinetic equations in a half-space with absorbing boundary conditions decay for large times like in a weighted $\sfL…
Concentration in an advection-diffusion model with diffusion coefficient depending on the past trajectory
Cosmin Burtea, Nicolas Meunier, Clément Mouhot
We consider a drift-diffusion model, with an unknown function depending on the spatial variable and an additional structural variable, the amount of ingested lipid. The diffusion c…
Quantitative Geometric Control in Linear Kinetic Theory
Helge Dietert, Frédéric Hérau, Harsha Hutridurga +1
We consider general linear kinetic equations combining transport and a linear collision on the kinetic variable with a spatial weight that can vanish on part of the domain. The con…
Special macroscopic modes and hypocoercivity
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +3
We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and…
Quantitative De Giorgi methods in kinetic theory
Jessica Guerand, Clément Mouhot
We consider hypoelliptic equations of kinetic Fokker-Planck type, also known as Kolmogorov or ultraparabolic equations, with rough coefficients in the drift-diffusion operator. We…
Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +2
We prove functional inequalities on vector fields on the Euclidean space when it is equipped with a bounded measure that satisfies a Poincaré inequality, and study associated self-…