一类组的均匀化
PDF下载 (124)丁 丽,李志远*.一类组的均匀化[J].宁波大学学报(理工版),2024,37(2):101-107.DOI:10.20098/j.cnki.1001-5132.2023.0815
DING Li,LI Zhiyuan.Homogenization of a class of stochastic systems of partial differential equations[J].Journal of Ningbo University(Natural Science & Engineering Edition),2024,37(2):101-107.DOI:10.20098/j.cnki.1001-5132.2023.0815
| Title: | Homogenization of a class of stochastic systems of partial differential equations |
| 作者: | 丁 丽, 李志远* |
| Author(s): | DING Li, LI Zhiyuan |
| 关键词: | Duhamel展开; Wick定理; 均匀化理论; 高斯过程 |
| Keywords: | Duhamel expansion; Wicks theorem; homogenization theory; Gaussian process |
| 分类号: | O175.2 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.0815 |
| 文献标识码: | A |
| 摘要: | 研究一类组的均匀化, 其中, ., 是含参数的高斯过程, 当其相关函数满足特定的可积条件时, 可以使用Duhamel(迭代)展开和Wick定理均匀化 |
| Abstract: | The homogenization problem of a class of stochastic partial differential equations is studied, , where , . Here , is a Gaussian process with scale, in the case that its correlation function satisfies certain integrability conditions, Duhamel (iterative) expansion and Wick’s theorem can be used to give the homogenizing convergence of the above equation. |
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| 备注/Memo: | 收稿日期: 2023−08−28. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11971251）; 浙江省自然科学基金（LY20A010010）. 第一作者: 丁丽, 硕士研究生, 主要研究方向: 偏微分方程. Email: 3502381628@qq.com *通信作者: 李志远, 博士/副教授, 主要研究方向: 微分方程中的反问题. E-mail: lizhiyuan@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
