Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
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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.
CitationBarrea, A., & Turner, C. (2003). Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition. Electronic Journal of Differential Equations, 2003(84), pp. 1-8.
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