Fluid Flow Problems with Quaternionic Analysis—An Alternative Conception

  • K. Gürlebeck
  • W. SprößigEmail author


This article deals with some classes of fluid flow problems under given initial-value and boundary-value conditions. Using a quaternionic operator calculus, representations of solutions are constructed. For the case of a bounded velocity, a numerically stable semi-discretization procedure for the solution of the problem is presented.


Stokes Equation Alternative Conception Shallow Water Equation Stokes Problem Operator Calculus 
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© Springer-Verlag London 2010

Authors and Affiliations

  1. 1.Institut für Mathematik/PhysikBauhaus-Universität WeimarWeimarGermany
  2. 2.Fakultaet fuer Mathematik und InformatikTU Bergakademie FreibergFreibergGermany

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