Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 84, pp. 1-8.

Title: Asymptotic behavior for a heat conduction
       problem with perfect-contact boundary condition

Authors: Andres Barrea (Universidad Nacional de Cordoba, Argentina)
 Cristina Turner (Universidad Nacional de Cordoba, Argentina)

Abstract: 
 In this paper we consider the heat conduction problem for
 a slab represented by the interval $[0,1]$.
 The initial temperature is a positive constant, the flux
 at the left end is also a positive constant, and at
 the right end there is a perfect contact condition:
 $u_{x}(1,t)+\gamma u_{t}(1,t)=0$.
 We analyze the asymptotic behavior of these problems as
 $\gamma$ approaches infinity, and present some numerical
 calculations.
 
Submitted July 15, 2002. Published August 14, 2003.
Math Subject Classifications: 35K60, 35R35.
Key Words: Heat conduction; phase change; free boundary; perfect contact.