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| Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions |
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Citation： |
Xiaoyi HU,Wenbin CHEN.Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions[J].Chinese Annals of Mathematics B,2010,31(2):145~162 |
| Page view： 1871
Net amount： 1413 |
Authors： |
Xiaoyi HU; Wenbin CHEN; |
Foundation： |
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) and the 111 Project (No. B08018). |
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| Abstract： |
The authors consider one specific kind of heat transfer problems in a three-
dimensional layered domain, with nonlinear Stefan-Boltzmann conditions on the bound-
aries 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 |
Classification： |
35R30, 35K20 |
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