Solutions to the Fourier equation can be provided by Fourier series.
2.
To overcome this contradiction, workers such as Cattaneo, Vernotte, Chester, and others proposed that Fourier equation should be upgraded from the hyperbolic form,
3.
Thence, if we indicate with q the heat for a volume unit, expressed in J m " 3, the Fourier equation of heat transfer, to be computed only along the direction x of the field line, becomes
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