Parabolic Limit and Stability of the Vlasov-Poisson-Fokker-Planck system
Parabolic Limit and Stability of the Vlasov-Poisson-Fokker-Planck system
复制标题
Vlasov-Poisson-Fokker-Planck 系统的抛物线极限和稳定性
DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
J. Soler
中科院分区：
文献类型：
--
作者：
F. Poupaud;J. Soler
本文分析了Vlasov-Poisson-Fokker-Planck方程随其常数参数标度热速度和标度热平均自由程变化的稳定性。对于标度热速度是标度热平均自由程的倒数且后者趋于零的情况，得到了质量密度的抛物线极限方程。根据空间维数和对初始数据的假设，L中的收敛结果在时间上是弱的和全局的，或者在时间上是强的和局部的。
In this paper the stability of the Vlasov-Poisson-Fokker-Planck with respect to the variation of its constant parameters, the scaled thermal velocity and the scaled thermal mean free path, is analyzed. For the case in which the scaled thermal velocity is the inverse of the scaled thermal mean free path and the latter tends to zero, a parabolic limit equation is obtained for the mass density. Depending on the space dimension and on the hypothesis for the initial data the convergence result in L is weak and global in time or strong and local in time.