论文标题
长期统一的和混乱的估计值的平均场动力学颗粒的混乱估计值
Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes
论文作者
论文摘要
结合了[14]和[10]的结果，研究了与Vlasov-Fokker-Planck方程相关的大粒子系统，研究了平衡的趋势。在某些条件下（允许非凸的限制电势）证明，收敛速率与颗粒数量无关。从中是在混乱估计的时间传播中得出的均匀，而非线性方程本身的呈指数快速收敛。
Combining the results of [14] and [10], the trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation. Under some conditions (that allow non-convex confining potentials) the convergence rate is proven to be independent from the number of particles. From this are derived uniform in time propagation of chaos estimates and an exponentially fast convergence for the nonlinear equation itself.
