A gradient flow approach of uniform in time propagation of chaos for particles in double a well confinement
A gradient flow approach of uniform in time propagation of chaos for particles in double a well confinement
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双井约束条件下粒子混沌时间均匀传播的梯度流方法
DOI：
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发表时间：
2018
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通讯作者：
Samir Salem
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文献类型：
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作者：
Samir Salem
我们提供了一个估计的耗散的Wasserstein 2距离之间的法律的一些相互作用的$N$粒子系统，和$N$倍张量化产品的解决方案，以相应的限制非线性守恒律。然后，它使恢复经典的传播的混沌结果的情况下，Lipschitz系数，均匀的时间传播的混沌的情况下，严格凸系数。同时也讨论了一些最近的结果，如双势阱中粒子的情况。
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 solution to the corresponding limit nonlinear conservation law. It then enables to recover classical propagation of chaos results in the case of Lipschitz coefficients, uniform in time propagation of chaos in the case of strictly convex coefficients. But also some recent results as the case of particle in a double well potential.