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For refinements we refer to Spitzer’s original paper and to two papers by Le Gall [6], [7]. It is an important consequence of the maximum principle that the asymptotic behaviour of the solution u of (1.1)–(1.3) for t→ 0 is locally computable in terms of the geometry of K. Exploiting this it was shown [2] that if ∂K is smooth then the heat content for t→ 0 is area dominated and EK(t) = 2π −1/2A(∂K)t1/2 + o(t), t→ 0, (1.7)

Area versus capacity and solidification in the crushed ice model