摘要
本文建立了在变摩擦和快速随机涨落下的小质量粒子系统的逼近模型.系统所受摩探力依赖于状态变量,利用鞅逼近方法处理快速涨落项,得到逼近系统是一个白噪声驱使的一阶随机微分方程.
The small mass limit for system with variable friction and a fast random fluctuation is derived. The friction term is dependent on the state and a martingale approximation method is applied to treat the fast random fluctuation.
出处
《南京大学学报（数学半年刊）》
2017年第2期146-154,共9页
Journal of Nanjing University(Mathematical Biquarterly)
基金
supported by the NSFC grant No. 11671204
