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.
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页数：5
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