Geodesic
Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
Electronic journal of differential equations, Tome 2003 (2003)
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 
@article{EJDE_2003__2003__a134,
     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},
     year = {2003},
     volume = {2003},
     zbl = {1036.35094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a134/}
}
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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__a134/