Heat content asymptotics with singular initial temperature distributions (Q932536)

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scientific article; zbMATH DE number 5300479
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English
Heat content asymptotics with singular initial temperature distributions
scientific article; zbMATH DE number 5300479

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    Heat content asymptotics with singular initial temperature distributions (English)
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    11 July 2008
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    The heat content asymptotics are studied with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. The authors show that there exists a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in that expansion.
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    Dirichlet boundary conditions
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    heat content asymptotics
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    Robin boundary conditions
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