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Advances in Applied Clifford Algebras

, Volume 19, Issue 2, pp 453–466 | Cite as

Fluid Flow Equations with Thermal Effects in Complex-Quaternionic Setting

  • W. Sprößig
Article
  • 47 Downloads

Abstract.

This article considers the Boussinesq approximation of Poisson–Stokes equations under given initial value and boundary value conditions. Using a quaternionic operator calculus representations of solutions are presented. If the boundedness of the velocity can be assumed then a stable semi-discretisation procedure approximates the problem.

Keywords.

Poisson–Stokes equations quaternionic operator calculus semi-discretisation methods 

Mathematics Subject Classification (2000).

Primary 30G35 Secondary 35G15 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Fakultaet fuer Mathematik und InformatikTU Bergakademie FreibergFreibergGermany

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