中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 武汉物理与数学研究所
  3. 中国科学院武汉物理与数学研究所
  4. 数学物理与应用研究部
Regularity and Asymptotic Behavior of Nonlinear Stefan Problems

文献类型：期刊论文

作者Du, Yihong1; Matano, Hiroshi2; Wang, Kelei3
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2014-06-01
卷号212期号:3页码:957-1010
英文摘要We study the following nonlinear Stefan problem where () is bounded by the free boundary , with , mu and d are given positive constants. The initial function u (0) is positive in and vanishes on . The class of nonlinear functions g(u) includes the standard monostable, bistable and combustion type nonlinearities. We show that the free boundary is smooth outside the closed convex hull of , and as , either expands to the entire , or it stays bounded. Moreover, in the former case, converges to the unit sphere when normalized, and in the latter case, uniformly. When , we further prove that in the case expands to , as , and the spreading speed of the free boundary converges to a positive constant; moreover, there exists such that expands to exactly when .
WOS标题词Science & Technology ; Physical Sciences ; Technology
类目[WOS]Mathematics, Interdisciplinary Applications ; Mechanics
研究领域[WOS]Mathematics ; Mechanics
关键词[WOS]FREE-BOUNDARY ; OBSTACLE PROBLEM ; EQUATION ; MODEL
收录类别SCI
语种英语
WOS记录号WOS:000334168500008
公开日期2015-07-14
源URL[http://ir.wipm.ac.cn/handle/112942/1323]  
专题武汉物理与数学研究所_数学物理与应用研究部
作者单位1.Univ New England, Sch Sci & Technol, Armidale, NSW 2351, Australia
2.Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714		 Du, Yihong,Matano, Hiroshi,Wang, Kelei. Regularity and Asymptotic Behavior of Nonlinear Stefan Problems[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2014,212(3):957-1010.
APA Du, Yihong,Matano, Hiroshi,&Wang, Kelei.(2014).Regularity and Asymptotic Behavior of Nonlinear Stefan Problems.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,212(3),957-1010.
MLA Du, Yihong,et al."Regularity and Asymptotic Behavior of Nonlinear Stefan Problems".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 212.3(2014):957-1010.

入库方式： OAI收割

来源：武汉物理与数学研究所

浏览0
下载0
收藏0
其他版本

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。