Ramm, Alexander G.2012-05-022012-05-022013-01-28http://hdl.handle.net/2097/13781The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting eld is derived when the characteristic size a of the small bodies tends to zero, their total number N(a) tends to in nity at a suitable rate, and the distance d = d(a) between neighboring small bodies tends to zero a << d. No periodicity is assumed about the distribution of the small bodies.This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Heat transferMany-body problemArticle (author version)