Geodesic
Heat Transfer in a Medium in Which Many Small Particles Are Embedded
A. G. Ramm1
1 Department of Mathematics Kansas State University, Manhattan, KS 66506-2602, USA
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 193-199.

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The 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 field is derived when the characteristic size a of the small bodies tends to zero, their total number tends to infinity 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.
DOI : 10.1051/mmnp/20138114

A. G. Ramm 1

1 Department of Mathematics Kansas State University, Manhattan, KS 66506-2602, USA 
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A. G. Ramm. Heat Transfer in a Medium in Which Many Small Particles Are Embedded. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 193-199. doi : 10.1051/mmnp/20138114. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138114/

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