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Three-particle thermodynamic interactions.

A.O. Syromyasov1

AnnotationWe consider three spherical particles with arbitrary radii and heat conductivities immersed in an infinite medium. The temperature gradient far from spheres is supposed to be constant. Temperature field inside and outside the particles is explored, and its general properties are listed. Passages to the limit of two-particle problem and some particular cases are considered, too.
Keywordsheat conduction equation, spherical particle, interparticle interaction, symmetry of solution.

1Reader of Mathematics and Theoretical Mechanics Chair, Mordovian State University named after N. P. Ogaryov, Saransk;

Citation: A.O. Syromyasov, "[Three-particle thermodynamic interactions.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:2 (2012) 128–136 (In Russian)