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Applications of the Quaternionic Calculus to the Convective Stationary MHD Equations in \({\mathbb{R}^3}\)

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Abstract

In this paper we apply techniques from quaternionic analysis to develop geometry independent global existence criteria and a new computation scheme for the solutions to the stationary incompressible viscous magnetohydrodynamic equations in \({\mathbb{R}^3}\).

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Authors and Affiliations

  1. Fachgebiet Mathematik, Erziehungswissenschaftliche Fakultät, Universität Erfurt, Nordhäuser Strase 63, D 99089, Erfurt, Germany

    Rolf Sören Kraußhar

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  1. Rolf Sören Kraußhar
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Correspondence to Rolf Sören Kraußhar.

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To Professor Klaus Gürlebeck on the occasion of his 60th birthday for his pioneering work in the development of new mathematical methods and their applications to boundary value problems

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Kraußhar, R.S. Applications of the Quaternionic Calculus to the Convective Stationary MHD Equations in \({\mathbb{R}^3}\) . Adv. Appl. Clifford Algebras 24, 1047–1058 (2014). https://doi.org/10.1007/s00006-014-0481-1

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  • DOI: https://doi.org/10.1007/s00006-014-0481-1

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