On stiff problems via Dirichlet forms

doi:10.1214/19-AIHP1028

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	On stiff problems via Dirichlet forms
	Li, Liping 2; Sun, Wenjie 1
刊名	ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
	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
出版者	INST MATHEMATICAL STATISTICS
WOS记录号	WOS:000544170100018
内容类型	期刊论文
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.Fudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, RCSDS, Beijing 100190, 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.