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

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...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2010-03, Vol.31 (2), p.145-162
Main Authors: Hu, Xiaoyi, Chen, Wenbin
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
三维传热
反问题
复合材料
数学模型
波尔
测定
边界条件
非线性
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Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-009-0165-7