The kinetic Fokker-Planck equation with mean field interaction
We study the long time behavior of the kinetic Fokker-Planck equation with mean field
interaction, whose limit is often called Vlasov-Fokker-Planck equation. We prove a uniform …
interaction, whose limit is often called Vlasov-Fokker-Planck equation. We prove a uniform …
Hypocoercivity with Schur complements
We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive
operators by using Schur complements, rather than from an exponential decay of the …
operators by using Schur complements, rather than from an exponential decay of the …
Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in spaces
C Zhang - arXiv preprint arXiv:2012.06253, 2020 - arxiv.org
The purpose of this paper is to extend the hypocoercivity results for the kinetic Fokker-Planck
equation in $ H^ 1$ space in Villani's memoir\cite {Villani} to higher order Sobolev spaces …
equation in $ H^ 1$ space in Villani's memoir\cite {Villani} to higher order Sobolev spaces …
An optimal transport approach of hypocoercivity for the 1d kinetic Fokker-Plank equation
S Salem - arXiv preprint arXiv:2102.10667, 2021 - arxiv.org
A quadratic optimal transport metric on the set of probability measure over $\R^ 2$ is
introduced. The quadratic cost is given by the euclidean norm on $\R^ 2$ associated to …
introduced. The quadratic cost is given by the euclidean norm on $\R^ 2$ associated to …