Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions |
| |
Authors: | Xiaoyi HU and Wenbin CHEN |
| |
Institution: | School of Mathematical Sciences,Fudan University,Shanghai 200433,China |
| |
Abstract: | 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 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. |
| |
Keywords: | Inverse heat problem Stefan-Boltzmann conditions Uniqueness |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |