一维可压缩Navier-Stokes-Vlasov方程组的渐近行为

Asymptotical behavior of one-dimensional compressible Navier-Stokes-Vlasov system

本文研究一维可压缩Navier-Stokes-Vlasov耦合模型在空间周期区域上初值问题整体解的渐近行为;证明随着时间发展,流体速度和粒子宏观平均速度以指数速率收敛到同一个常速度,并且粒子分布函数关于速度变量的紧支集以指数速率收缩到一个点集.

In this paper,we investigate the asymptotical behavior of global solutions to the initial value problem for one-dimensional compressible Navier-Stokes-Vlasov system in the spatial periodic domain.It is showed that both the fluid velocity and the macroscopic velocity of the particles converge to the same speed exponentially in time,and the compact support of the distribution function associated with the velocity variable converges to a point set exponentially in time.