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

作　　者：Xiaoyi HU Wenbin CHEN 

机构地区：[1]School of Mathematical Sciences, Fudan University, Shanghai 200433, China.

出　　处：《Chinese Annals of Mathematics,Series B》2010年第2期145-162,共18页数学年刊（B辑英文版）

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)

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

关 键 词：Inverse heat problem Stefan-Boltzmann conditions UNIQUENESS 

分 类 号：O431.2[机械工程—光学工程] TB33[理学—光学]