从梯度流视角看从 Boltzmann 方程到 Landau 方程
偏微分方程分析
2022-02-03 v2
摘要
我们从近期将 Boltzmann 方程与 Landau(-Fokker-Planck) 方程重新解释为梯度流的角度，重新审视了连接二者的掠碰极限。我们的结果与 Sandier 和 Serfaty 引入的梯度流 -收敛技术精神一致。在此框架下，掠碰极限归结为证明 Boltzmann 熵耗散到 Landau 熵耗散的下半连续收敛。
引用
@article{arxiv.2107.07252,
title = {Boltzmann to Landau from the Gradient Flow Perspective},
author = {José Carrillo and Matias Delgadino and Jeremy Wu},
journal= {arXiv preprint arXiv:2107.07252},
year = {2022}
}
备注
41.5 pages without references, 4 figures. Comparisons with other weak solutions have been expanded. Typos fixed and more clarifications added. Accepted version. Comments welcome!