Barrea, AndresTurner, Cristina2021-01-082021-01-082003-08-14Barrea, A., & Turner, C. (2003). Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition. <i>Electronic Journal of Differential Equations, 2003</i>(84), pp. 1-8.1072-6691https://hdl.handle.net/10877/13092In 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: ux(1, t) + γut(1, t) = 0. We analyze the asymptotic behavior of these problems as γ approaches infinity, and present some numerical calculations.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalHeat conductionPhase changeFree boundaryPerfect contactAsymptotic behavior for a heat conduction problem with perfect-contact boundary conditionArticle