Heat content

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2008-03-05

arxiv.org/abs/0803.0675v1

Mathematics

Analysis of PDEs

Scientific paper

We study the heat content asymptotics with either Dirichlet or Robin boundary
conditions where the initial temperature exhibits radial blowup near the
boundary. We show that there is a complete small-time asymptotic expansion and
give explicit geometrical formulas for the first few terms in the expansion.

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