Some kinematic properties of complex eigenvalues in 3D homogeneous flows

David Iacopini, R Carosi

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)361-367
Number of pages7
JournalTrabajos de Geología
Volume29
Publication statusPublished - 2009

Fingerprint

eigenvalue
kinematics
vorticity

Keywords

  • flow kinematics
  • deformation
  • ghostvector
  • pulsating pattern

Cite this

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

In: Trabajos de Geología, Vol. 29, 2009, p. 361-367.

Research output: Contribution to journal › Article

Iacopini, D & Carosi , R 2009, 'Some kinematic properties of complex eigenvalues in 3D homogeneous flows', Trabajos de Geología, vol. 29, pp. 361-367.
Iacopini D, Carosi R. Some kinematic properties of complex eigenvalues in 3D homogeneous flows. Trabajos de Geología. 2009;29:361-367.
Iacopini, David ; Carosi , R. / Some kinematic properties of complex eigenvalues in 3D homogeneous flows. In: Trabajos de Geología. 2009 ; Vol. 29. pp. 361-367.
@article{b795cd37bbce4b85a889ace4b63980a6,
title = "Some kinematic properties of complex eigenvalues in 3D homogeneous flows",
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.",
keywords = "flow kinematics, deformation, ghostvector, pulsating pattern",
author = "David Iacopini and R Carosi",
year = "2009",
language = "English",
volume = "29",
pages = "361--367",
journal = "Trabajos de Geolog{\'i}a",
issn = "0474-9588",
publisher = "Universidad de Oviedo",

}

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 -

Access to Document

Related content

Research Output

Implications of complex eigenvalues in homogeneous flow: a three-dimensional kinematic analysis

Research output: Contribution to journal › Article