Electron. J. Diff. Eqns., Vol. 2003(2003), No. 84, pp. 1-8.

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

Andres Barrea & Cristina Turner

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.

Show me the PDF file (307K), TEX file, and other files for this article.

Andres Barrea
Fa.M.A.F.- Universidad Nacional de Cordoba
CIEM-CONICET, Cordoba, Argentina
email: abarrea@mate.uncor.edu
Cristina Turner
Fa.M.A.F.- Universidad Nacional de Cordoba
CIEM-CONICET, Cordoba, Argentina
email: turner@mate.uncor.edu

Return to the EJDE web page