Some kinematic properties of complex eigenvalues in 3D homogeneous flows

David Iacopini, R Carosi

Research output: Contribution to journalArticlepeer-review


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
Publication statusPublished - 2009


  • flow kinematics
  • deformation
  • ghostvector
  • pulsating pattern


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