Summary
For a continuum containing point defects one can deduce an integro-differential equation describing the conduction of heat which implies the usual parabolic differential equation as a special case and which permits the expansion of a perturbation with a finite velocity. The structure of integro-differential equation and solutions is studied for simple examples.
Literaturverzeichnis
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Müller, KH. Zur instationären Wärmeleitung in Festkörpern. Z. Angew. Math. Phys. 14, 748–755 (1963). https://doi.org/10.1007/BF01601168
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DOI: https://doi.org/10.1007/BF01601168