Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
Date
2003-08-14
Authors
Barrea, Andres
Turner, Cristina
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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: ux(1, t) + γut(1, t) = 0. We analyze the asymptotic behavior of these problems as γ approaches infinity, and present some numerical calculations.
Description
Keywords
Heat conduction, Phase change, Free boundary, Perfect contact
Citation
Barrea, 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.
Rights
Attribution 4.0 International