On the gradient flow structure of the isotropic Landau equation
Analysis of PDEs
2020-10-21 v2
Abstract
We prove that the isotropic Landau equation equipped with the Coulomb potential introduced by Krieger-Strain and Gualdani-Guillen can be identified with the gradient flow of the entropy in the probability space with respect to a Riemannian metric tensor with nonlocal mobility. We give characterizations of the corresponding geodesics equations and present a convergence rate result by estimating its Hessian operator.
Keywords
Cite
@article{arxiv.1912.02343,
title = {On the gradient flow structure of the isotropic Landau equation},
author = {Jing An and Lexing Ying},
journal= {arXiv preprint arXiv:1912.02343},
year = {2020}
}