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.

中文翻译：

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类朗道方程的平均场推导


我们从随机相互作用的粒子推导出一类空间齐次类朗道方程。通过使用相对熵，我们获得了 N 粒子刘维尔方程的解与类极限朗道方程的张量解之间的距离的定量界限。