- Titel
- Tensorial time derivatives on moving surfaces
- Untertitel
- General concepts and a specific application for surface Landau-de Gennes models
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa2-971041
- Quellenangabe
- Journal of geometry and physics
Erscheinungsjahr: 2023
Jahrgang: 194
E-ISSN: 1879-1662
Artikelnummer: 105002 - Erstveröffentlichung
- 2023
- Abstract (EN)
- 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.
- Andere Ausgabe
- Link zum Artikel, der zuerst in der Zeitschrift „Journal of geometry and physics” im Verlag Elsevier erschienen ist.
DOI: 10.1016/j.geomphys.2023.105002 - Freie Schlagwörter (EN)
- Tensor fields, Moving surface, Embedded surface, Observer-invariance, Time derivative
- Klassifikation (DDC)
- 510
- Verlag
- Elsevier, Amsterdam [u. a.]
- Version / Begutachtungsstatus
- publizierte Version / Verlagsversion
- URN Qucosa
- urn:nbn:de:bsz:14-qucosa2-971041
- Veröffentlichungsdatum Qucosa
- 06.11.2025
- Dokumenttyp
- Artikel
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
CC BY 4.0