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Advances in Applied Clifford Algebras

, Volume 15, Issue 1, pp 67–69 | Cite as

A variant of the pure quaternionic representation of the Navier-Stokes equation

  • E. B. Postnikov
  • O. B. Stepanova
Original Paper

Abstract.

It is shown that the three-dimensional Navier-Stokes equation for incompressible fluid can be represented as an equation including only quaternions as co-ordinate operators and variables. Only the quaternion operations such as a quaternion product and a quaternion conjugation over these variables are used.

Keywords

Incompressible Fluid Popular Science Quaternionic Representation Quaternion Conjugation Quaternion Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  • E. B. Postnikov
    • 1
  • O. B. Stepanova
    • 1
  1. 1.Theoretical Physics DepartmentKursk State UniversityKurskRussia

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