On stiff problems via Dirichlet forms
文献类型：期刊论文
| 作者 | Li, Liping1 ; Sun, Wenjie2
|
| 刊名 | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
 |
| 出版日期 | 2020-08-01 |
| 卷号 | 56期号:3页码:2051-2080 |
| 关键词 | Stiff problems Phase transitions Dirichlet forms Mosco convergences Snapping out Markov processes |
| ISSN号 | 0246-0203 |
| DOI | 10.1214/19-AIHP1028 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000544170100018 |
| 出版者 | INST MATHEMATICAL STATISTICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51762]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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