Discrete groups, symmetric flows and hydrodynamic blowup

  • Richard B. Pelz
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)


Discrete group theory is applied to certain well-known flows with discrete symmetries. A flow is associated with particular discrete point or space group if flow components possess the same symmetries as the irreducible representations of the group. The flows examined are or have been considered candidates for finite-time blowup. The properties of the groups are related to the characteristics of the flows.


Point Group Discrete Group Vortex Tube Blowup Solution Character Table 
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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Richard B. Pelz
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringRutgers UniversityPiscatawayUSA

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