类朗道方程的均场推导

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-06-09 DOI:10.1016/j.aml.2024.109195

José Antonio Carrillo , Shuchen Guo , Pierre-Emmanuel Jabin

引用次数: 0

摘要

我们从随机相互作用粒子推导出一类空间同质类朗道方程。通过使用相对熵，我们得到了 N 粒子利乌维尔方程的解与极限朗道方程的张量解之间距离的定量约束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mean-field derivation of Landau-like equations

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.