### Abstract

Original language | English |
---|---|

Pages (from-to) | 361-367 |

Number of pages | 7 |

Journal | Trabajos de Geología |

Volume | 29 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- flow kinematics
- deformation
- ghostvector
- pulsating pattern

### Cite this

*Trabajos de Geología*,

*29*, 361-367.

**Some kinematic properties of complex eigenvalues in 3D homogeneous flows.** / Iacopini, David; Carosi , R.

Research output: Contribution to journal › Article

*Trabajos de Geología*, vol. 29, pp. 361-367.

}

TY - JOUR

T1 - Some kinematic properties of complex eigenvalues in 3D homogeneous flows

AU - Iacopini, David

AU - Carosi , R

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - flow kinematics

KW - deformation

KW - ghostvector

KW - pulsating pattern

M3 - Article

VL - 29

SP - 361

EP - 367

JO - Trabajos de Geología

JF - Trabajos de Geología

SN - 0474-9588

ER -