Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions

作     者：Xiaoyi HU Wenbin CHEN Xiaoyi HU Wenbin CHEN School of Mathematical Sciences,Fudan University,Shanghai 200433,China

作者机构：School of Mathematical Sciences Fudan University Shanghai 200433 China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第2期

页      面：145-162页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0803[工学-光学工程] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the Shanghai Natural Science Foundation of China (No.07JC14001) the Doctoral Program Foundation of the Ministry of Education of China the Tianyuan Fund for Mathematics (No.10826105) the National Basic Research Program (No.2005CB321701) the 111 Project (No.B08018) 

主　　题：边界条件 复合材料 波尔 测定 三维传热 数学模型 反问题 非线性 

摘      要：The authors consider one specific kind of heat transfer problems in a three-dimensional layered domain,with nonlinear Stefan-Boltzmann conditions on the boundaries as well as on the *** determine the unknown part of the boundary(or corrosion) by the Cauchy data on the reachable part is an important inverse problem in *** mathematical model of this problem is introduced,the well-posedness of the forward problems and the uniqueness of the inverse problems are obtained.