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On the problem of propagation of heat in mixtures

Lesan D., Quintanilla R.

Applied Mechanics and Engineering

1999

Vol. 4, no 3

529-551

This paper is concerned with the linear theory of heat propagation in a binary mixture of rigid heat conductors. First, the equilibrium theory is studied. A solution of Galerkin type is established and fundamental solutions are derived. The potentials of single-layer and double-layer are used to reduce the boundary value problems to singular integral equations. Existence and uniqueness results are established. The second part of the paper is concerned with the dynamical theory. A continuous dependence result and a spatial decay estimate are derived.