Mean-field derivation of Landau-like equations

被引：0

作者：

Carrillo, Jose Antonio ^{[1
]}

Guo, Shuchen ^{[1
]}

Jabin, Pierre-Emmanuel ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[2] Penn State Univ, Dept Math, State Coll, PA 16802 USA

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 158卷

基金：

欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

Space homogeneous Landau equation; Interacting particle systems; Mean-field limit; Relative entropy; HARD POTENTIALS; WELL-POSEDNESS; PROPAGATION; CHAOS; SYSTEMS; LIMIT; KAC;

D O I：

10.1016/j.aml.2024.109195

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.

引用

页数：5

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