Heat transfer in composite materials with Stefan–Boltzmann interface conditions |
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| Authors: | Yang Gufan Yamamoto Masahiro Cheng Jin |
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| Affiliation: | 1. Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China;2. Department of Mathematical Sciences, The University of Tokyo, Tokyo 153‐8914, Japan;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;4. E‐Institute of Scientific Computation, Shanghai Normal University, Shanghai, China |
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| Abstract: | In this paper, we discuss nonstationary heat transfer problems in composite materials. This problem can be formulated as the parabolic equation with Stefan–Boltzmann interface conditions. It is proved that there exists a unique global classical solution to one‐dimensional problems. Moreover, we propose a numerical algorithm by the finite difference method for this nonlinear transmission problem. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | nonstationary heat transfer global existence Green functions integral equations numerical algorithm |
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