HOMOGENIZATION OF A PARABOLIC PROBLEM WITH AN IMPERFECT INTERFACE
HOMOGENIZATION OF A PARABOLIC PROBLEM WITH AN IMPERFECT INTERFACE
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发表时间：
2009
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通讯作者：
Editha C. Jose
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作者：
Editha C. Jose
本文描述了具有“周期性界面”的双组分复合导体中的热扩散。由于界面上的不完美接触，通过界面的热流与温度场的阶跃成比例。我们研究了当参数“趋于零”时该抛物问题的极限行为。我们描述了不同的齐次（极限）问题，根据值。当= 1时，记忆效应出现在极限问题上。AMS 2000学科分类：35B27、35K20、82B24。
We describe heat diffusion in a two-component composite conductor with an "periodic interface. Due to an imperfect contact on the interface, the heat flow through the interface is proportional to the jump of the temperature field by a factor of order ". We study the limit behaviour of this parabolic problem when the parameter " tends to zero. We describe the different homogenized (limit) problems, according to the value of . When = 1, a memory effect appears on the limit problem. AMS 2000 Subject Classification: 35B27, 35K20, 82B24.