195 citations · 626 across the 21 of their papers we have counts for
7 papers · 1 filter
Stability issues in the quasineutral limit of the one-dimensional Vlasov-Poisson equation
Daniel Han-Kwan, Maxime Hauray
This work is concerned with the quasineutral limit of the one-dimensional Vlasov-Poisson equation, for initial data close to stationary homogeneous profiles. Our objective is three…
On Liouville transport equation with a force field in
Maxime Hauray
We prove the existence and uniqueness of renormalized solutions of the Liouville equation for particles with a interaction potential in execpt at the origin. This im…
On Two-dimensional Hamiltonian Transport Equations with coefficients
Maxime Hauray
We consider two-dimensional autonomous divergence free vector-fields in $\Lde_{loc}$. Under a condition on direction of the flow and on the set of critical points, we prove the exi…
De coherence for a heavy particle interacting with a light one: new analysis and numerics
Riccardo Adami, Maxime Hauray, Claudia Negulescu
We study the dynamics of a quantum heavy particle undergoing a repulsive interaction with a light one. The main motivation is the detailed description of the loss of coherence indu…
Mean field limit for the one dimensional Vlasov-Poisson equation
Maxime Hauray
We consider systems of particles in dimension one, driven by pair Coulombian or gravitational interactions. When the number of particles goes to infinity in the so called mean…
A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields
Maxime Hauray, Claude Le Bris
We provide in this article a new proof of the uniqueness of the flow solution to ordinary differential equations with vector-fields that have divergence in (or in $…
The derivation of Swarming models: Mean-Field Limit and Wasserstein distances
J. A. Carrillo, Y. -P. Choi, M. Hauray
These notes are devoted to a summary on the mean-field limit of large ensembles of interacting particles with applications in swarming models. We first make a summary of the kineti…