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Fluid Flow Equations with Thermal Effects in Complex-Quaternionic Setting

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Advances in Applied Clifford Algebras Aims and scope Submit manuscript

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.

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  1. Fakultaet fuer Mathematik und Informatik, TU Bergakademie Freiberg, Prueferstraße 9, 09596, Freiberg, Germany

    W. Sprößig

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  1. W. Sprößig
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Correspondence to W. Sprößig.

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This paper is dedicated to the memory of our friend and colleague Jarolim Bureš

Received: October, 2007. Accepted: February, 2008.

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Sprößig, W. Fluid Flow Equations with Thermal Effects in Complex-Quaternionic Setting. AACA 19, 453–466 (2009). https://doi.org/10.1007/s00006-009-0167-2

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  • DOI: https://doi.org/10.1007/s00006-009-0167-2

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