KMS Of Academy of mathematics and systems sciences, CAS
On stiff problems via Dirichlet forms | |
Li, Liping1; Sun, Wenjie2 | |
2020-08-01 | |
发表期刊 | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES |
ISSN | 0246-0203 |
卷号 | 56期号:3页码:2051-2080 |
摘要 | The stiff problem is concerned with a thermal conduction model with a singular barrier of zero volume. In this paper, we shall build the phase transitions for the stiff problems in one-dimensional space. It turns out that every phase transition definitely depends on the total thermal resistance of the barrier, and the three phases correspond to the so-called impermeable pattern, semipermeable pattern and permeable pattern of thermal conduction respectively. For each pattern, the related boundary condition of the flux at the barrier is also derived. Mathematically, we shall introduce and explore the so-called snapping out Markov process, which is the probabilistic counterpart of semi-permeable pattern in the stiff problem. |
关键词 | Stiff problems Phase transitions Dirichlet forms Mosco convergences Snapping out Markov processes |
DOI | 10.1214/19-AIHP1028 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | NSFC[11688101] ; NSFC[11801546] ; NSFC[11931004] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; National Postdoctoral Program for Innovative Talents of China[BX20190357] |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000544170100018 |
出版者 | INST MATHEMATICAL STATISTICS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51763 |
专题 | 应用数学研究所 |
通讯作者 | Li, Liping |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, RCSDS, Beijing 100190, Peoples R China 2.Fudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Liping,Sun, Wenjie. On stiff problems via Dirichlet forms[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,2020,56(3):2051-2080. |
APA | Li, Liping,&Sun, Wenjie.(2020).On stiff problems via Dirichlet forms.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,56(3),2051-2080. |
MLA | Li, Liping,et al."On stiff problems via Dirichlet forms".ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 56.3(2020):2051-2080. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Li, Liping]的文章 |
[Sun, Wenjie]的文章 |
百度学术 |
百度学术中相似的文章 |
[Li, Liping]的文章 |
[Sun, Wenjie]的文章 |
必应学术 |
必应学术中相似的文章 |
[Li, Liping]的文章 |
[Sun, Wenjie]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论