摘要
对随机Navier-Stokes方程的讨论,通常的文献都没有考虑Poisson跳对系统的扰动。在假设控制算子为线性时,研究了带Poisson跳的随机Navier-Stokes方程的最优控制问题。利用Burkholder-Davis-Gundy不等式和Gronwall引理证明了最优控制的存在性。
The influence of the Poisson jumps upon the system has not been considered in stochastic Navier-Stokes equation.In this paper,the optimal control in stochastic Navier-Stokes equation with Poisson jumps was discussed on the condition that control operator is linear.Existence of optimal control was proved by application of Burkholder-Davis-Gundy inequality and Gronwall lemma.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2013年第1期89-93,9-10,共5页
Journal of Henan University of Science And Technology:Natural Science
基金
教育部重点基金项目(208160)
宁夏回族自治区自然科学基金项目(NZ0835)
