José Antonio Carrillo , Shuchen Guo , Pierre-Emmanuel Jabin
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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。
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.
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.