KMS Of Academy of mathematics and systems sciences, CAS
Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise | |
Dong, Zhao1,3; Peng, Xu-hui2 | |
2018 | |
发表期刊 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES |
ISSN | 0168-9673 |
卷号 | 34期号:1页码:97-118 |
摘要 | Consider the two-dimensional, incompressible Navier-Stokes equations on torus T (2) = [-pi, pi](2) driven by a degenerate multiplicative noise in the vorticity formulation (abbreviated as SNS): dw (t) = nu Delta w (t) dt + B(Kw (t) ,w (t) )dt + Q(w (t) )dW (t) . We prove that the solution to SNS is continuous differentiable in initial value. We use the Malliavin calculus to prove that the semigroup {P (t) }(tae |
关键词 | tochastic Navier-Stokes equation asymptotically strong Feller property ergodicity |
DOI | 10.1007/s10255-018-0728-z |
语种 | 英语 |
资助项目 | Scientific Research Fund of Hunan Provincial Education Department[17C0953] ; NSFC[11501195] ; National Natural Science Foundation of China[11371041] ; National Natural Science Foundation of China[11431014] ; Construct Program of the Key Discipline in Hunan Province ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; Youth Scientific Research Fund of Hunan Normal University[Math140650] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000427057400008 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/29921 |
专题 | 应用数学研究所 |
通讯作者 | Peng, Xu-hui |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing, Peoples R China 2.Hunan Normal Univ, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha 410081, Hunan, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Dong, Zhao,Peng, Xu-hui. Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2018,34(1):97-118. |
APA | Dong, Zhao,&Peng, Xu-hui.(2018).Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,34(1),97-118. |
MLA | Dong, Zhao,et al."Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 34.1(2018):97-118. |
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