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Symmetry properties of the causal heat equations

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Abstract

Symmetry properties of the causal (hyperbolic) heat equations are studied. Symmetry groups of two variants of hyperbolic equations are calculated. The results obtained are analysed and compared with known properties of the classical heat equation. These findings may be considered as possible arguments in favour of one of the causal heat conduction models.

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  1. St. Petersburg Branch, Institute of Oceanology, Russian Academy of Sciences, 1st Line 30, 199053, St. Petersburg, Russia

    M. Belevich

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  1. M. Belevich
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Correspondence to M. Belevich.

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Belevich, M. Symmetry properties of the causal heat equations. Acta Mech 224, 587–596 (2013). https://doi.org/10.1007/s00707-012-0779-9

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  • DOI: https://doi.org/10.1007/s00707-012-0779-9

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