Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 3, September 2010, Pages 337 - 347

Magnetohydrodynamics's Type Equations Over Clifford Algebras

Authors
Igor Kondrashuk*, ‡, Eduardo A. Notte-Cuello†, ‖, Marko A. Rojas-Medar*, §
*Grupo de Matemática Aplicada, Dpto. de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May Casilla 447, Chillán, Chile
†Dpto. de Matemáticas, Facultad de Ciencias, Universidad de La Serena, Av. Cisternas 1200, La Serena, Chile
Received 1 October 2009, Accepted 3 March 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110000933How to use a DOI?
Keywords
Clifford algebras; Clifford analysis; Dirac operator; magnetohydrodynamics's type equations; fluid equations
Abstract

We study a system of equations modeling the stationary motion of incompressible electrical conducting fluid. Based on methods of Clifford analysis, we rewrite the system of magnetohydrodynamics fluid in the hypercomplex formulation and represent its solution in Clifford operator terms.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 3
Pages
337 - 347
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000933How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Igor Kondrashuk
AU  - Eduardo A. Notte-Cuello
AU  - Marko A. Rojas-Medar
PY  - 2021
DA  - 2021/01/07
TI  - Magnetohydrodynamics's Type Equations Over Clifford Algebras
JO  - Journal of Nonlinear Mathematical Physics
SP  - 337
EP  - 347
VL  - 17
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000933
DO  - 10.1142/S1402925110000933
ID  - Kondrashuk2021
ER  -