HOMOGENIZATION OF A PARABOLIC PROBLEM WITH AN IMPERFECT INTERFACE
Editha C. Jose · 2009
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.