61 citations · 216 across the 24 of their papers we have counts for
4 papers · 2 filters
Regularity for rough hypoelliptic equations
Helge Dietert, Jonas Hirsch
We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does not study the commut…
Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence
Charles Collot, Helge Dietert, Pierre Germain
The kinetic wave equation arises in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schroedinger equation. The equation has two Kolmogorov-Zakharov stead…
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…
Orientation mixing in active suspensions
Michele Coti Zelati, Helge Dietert, David Gérard-Varet
We study a popular kinetic model introduced by Saintillan and Shelley for the dynamics of suspensions of active elongated particles where the particles are described by a distribut…