Geodesic
Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K60, 35R35
Keywords: heat conduction, phase change, free boundary, perfect contact 
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     author = {Barrea, Andr\'es and Turner, Cristina},
     title = {Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a34/}
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Barrea, Andrés; Turner, Cristina. Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a34/