论文标题

带有双孔外部景观的颗粒状介质方程:限制稳态

Granular media equation with double-well external landscape: limiting steady state

论文作者

Tugaut, Julian

论文摘要

在本文中,我们对粒状培养基方程的初始状态提供了简单的条件,该条件确保了随着时间的流逝的极限是具有正质量中心的独特稳态。为此,我们使用功能不平等,拉普拉斯方法和麦基恩 - 维拉索夫扩散(对应于颗粒介质方程的概率解释)。

In this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state with positive center of mass. To do so, we use functional inequalities, Laplace method and McKean-Vlasov diffusion (which corresponds to the probabilistic interpretation of the granular media equation).

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