### Abstract

A mathematical investigation on some kinematic properties of 3D homogeneous flows defined by complex eigenvalues is presented. We demonstrate by mean of simple algebra analysis, that in a 3D flow system a clear threshold between pulsating and non-pulsating fields does not exist. This implies that the existence of a stable or pulsating pattern in 3D flow is not simply imposed by the kinematic vorticity numbers. Moreover, we show theoretically that a 3D flow path having complex eigenvalues could evolve into a stable flow path. These results are applied to the kinematic analysis of some non-dilational and dilational monoclinic and triclinic flows.

Original language | English |
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Pages (from-to) | 361-367 |

Number of pages | 7 |

Journal | Trabajos de Geología |

Volume | 29 |

Publication status | Published - 2009 |

### Keywords

- flow kinematics
- deformation
- ghostvector
- pulsating pattern

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## Cite this

Iacopini, D., & Carosi , R. (2009). Some kinematic properties of complex eigenvalues in 3D homogeneous flows.

*Trabajos de Geología*,*29*, 361-367. http://geol00.geol.uniovi.es/TDG/Volumen29/TG29-66.PDF