Effective macroscopic dynamics of stochastic partial differential equations in perforated domains
文献类型：期刊论文
| 作者 | Wang, Wei; Cao, Daomin ; Duan, Jinqiao
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2007 |
| 卷号 | 38期号:5页码:1508-1527 |
| 关键词 | stochastic PDEs effective macroscopic model stochastic homogenization white noise probability distribution perforated domain |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/050648766 |
| 英文摘要 | An effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation ( SPDE) defined on a domain perforated with small holes or heterogeneities. The homogenized effective model is still an SPDE but defined on a unified domain without holes. The solutions of the microscopic model are shown to converge to those of the effective macroscopic model in probability distribution as the size of holes diminishes to zero. Moreover, the long time effectivity of the macroscopic system, in the sense of convergence in probability distribution, and the effectivity of the macroscopic system, in the sense of convergence in energy, are also proved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000244631400007 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4916]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Wei |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.IIT, Dept Appl Math, Chicago, IL 60616 USA |
| 推荐引用方式 GB/T 7714 | Wang, Wei,Cao, Daomin,Duan, Jinqiao. Effective macroscopic dynamics of stochastic partial differential equations in perforated domains[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2007,38(5):1508-1527. |
| APA | Wang, Wei,Cao, Daomin,&Duan, Jinqiao.(2007).Effective macroscopic dynamics of stochastic partial differential equations in perforated domains.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,38(5),1508-1527. |
| MLA | Wang, Wei,et al."Effective macroscopic dynamics of stochastic partial differential equations in perforated domains".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 38.5(2007):1508-1527. |
入库方式： OAI收割
来源：数学与系统科学研究院
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