On the objectivity of time derivaties

Tamàs Matolcsi, Péter Ván

Abstract


A four-dimensional treatment of nonrelativistic space-time gives a natural frame to deal with objective time derivatives. In this framework some well known objective time derivatives of continuum mechanics appear as Lie-derivatives. Their coordinatized forms depends on the tensorial properties of the relevant physical quantities.

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DOI: http://dx.doi.org/10.1478/C1S0801015