engleski

Homogenization of heat conduction equation in domain containing small sources

In this paper we consider the heat equation in a domain containing large number of small heat sources. We study the asymptotic behaviour as the number of sources tends to infinity and their size tends to zero, using the method of homogenization. The homogenized equation is the same but it has the source term on the right-hand side. The result was proved under weak geometric assumptions.

homogenization; heat equation; sources; weak geometric assumptions

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