# Absolute time derivatives

T. Matolcsi, P. Ván

Research output: Contribution to journalArticle

11 Citations (Scopus)

### Abstract

A four dimensional treatment of nonrelativistic spacetime 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 depend on the tensorial properties of the relevant physical quantities. We calculate the particular forms of objective time derivatives for scalars, vectors, covectors, and different second order tensors from the point of view of a rotating observer. The relation of substantial, material, and objective time derivatives is treated.

Original language English 053507 Journal of Mathematical Physics 48 5 https://doi.org/10.1063/1.2719144 Published - 2007

### Fingerprint

Derivative
Lie Derivative
continuum mechanics
Continuum Mechanics
Observer
Rotating
Tensor
Space-time
Scalar
tensors
scalars
Calculate
Form
Framework

### ASJC Scopus subject areas

• Physics and Astronomy(all)
• Statistical and Nonlinear Physics
• Mathematical Physics

### Cite this

Absolute time derivatives. / Matolcsi, T.; Ván, P.

In: Journal of Mathematical Physics, Vol. 48, No. 5, 053507, 2007.

Research output: Contribution to journalArticle

Matolcsi, T. ; Ván, P. / Absolute time derivatives. In: Journal of Mathematical Physics. 2007 ; Vol. 48, No. 5.
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