We provide an estimation of the dissipation of the Wasserstein 2 distance between the law of some interacting $ N $-particle system, and the $ N $ times tensorized product of the solution to the corresponding limit nonlinear conservation law. It then enables to recover classical propagation of chaos results [20] in the case of Lipschitz coefficients, uniform in time propagation of chaos in [17] in the case of strictly convex coefficients. And some recent results [7] as the case of particle in a double well potential.

中文翻译：

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混沌传播的梯度流方法

我们提供了Wasserstein 2距离在一些相互作用的$ N $粒子系统的定律与$ N $乘以相应极限非线性守恒定律的解的张量积之间的耗散的估计。然后，它可以恢复混沌结果的经典传播[20在Lipschitz系数的情况下，[17]在严格凸系数的情况下。和一些最近的结果[7]作为具有双阱势的粒子的情况。