Hyperbolic Heat Transfer Problems with Phase Transitions

Abstract

In this note we consider melt problems for solid heat conductors. The basic conservation law is the balance of energy

$$ \rho 1\hat e_{\hat t} + \hat q_{\hat x} = 0 $$

((1.1))

, where ê is the internal energy density, q̂ the heat flux, and ρ ₁ the constant mass density of the material in its reference configuration.

This research was partially supported by the Air Force Office of Scientific Research.