Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models
Mathematical Physics
2023-04-17 v1 math.MP
Abstract
Observer-invariance is regarded as a minimum requirement for an appropriate definition of time derivatives. We systematically discuss such time derivatives for surface tensor field and provide explicit formulations for material, upper-convected, lower-convected and Jaumann/corotational time derivatives which all lead to different physical implications. We compare these results with the corresponding time derivatives for tangential tensor fields. As specific surface 2-tensor fields we consider surface Q-tensor fields and conforming surface Q-tensor fields and apply the results in surface Landau-de Gennes models for surface liquid crystals.
Keywords
Cite
@article{arxiv.2304.07220,
title = {Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models},
author = {Ingo Nitschke and Axel Voigt},
journal= {arXiv preprint arXiv:2304.07220},
year = {2023}
}