Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013Harmonic analysis
|Page(s)||193 - 199|
|Published online||28 January 2013|
Heat Transfer in a Medium in Which Many Small Particles Are Embedded
Department of Mathematics Kansas State
University, Manhattan, KS
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.
Mathematics Subject Classification: 35K20 / 35J15 / 80M40 / 80A20
Key words: heat transfer / many-body problem
Corresponding author. E-mail: firstname.lastname@example.org
© EDP Sciences, 2013
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