四川大学学报(自然科学版)2017,Vol.54Issue(5):935-940,6.DOI:10.3969/j.issn.0490-6756.2017.05.007
漂移项加控制的随机Stokes系统的零能控
Null controllablity of a stochastic Stokes system with control on the drift
摘要
Abstract
In this paper,we consider a controlled forward stochastic Stokes system with a diagonal matrix as the coefficient of diffusion term,and the diagonal matrix elements are the same bounded stochastic process.For the situation that only one control applied to the drift term,we use the Lebeau-Robbiano type spectral inequality to establish a "partial" observability estimate result,by which we get the the corresponding finite dimensional null controllability and establish the required decay estimate.Finally,we derive the null controllability of the forward stochastic Stokes system.关键词
随机Stokes系统/谱不等式/零能控Key words
Stochastic Stokes system/Spectral inequality/Null controllability分类
数理科学引用本文复制引用
林璐..漂移项加控制的随机Stokes系统的零能控[J].四川大学学报(自然科学版),2017,54(5):935-940,6.基金项目
国家自然科学基金(11471231) (11471231)