Journal of Nonlinear Mathematical Physics

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Volume 18, Issue Supplement 1, September 2011, Pages 143 - 162

Lie Group Analysis of Moffatt's Model in Metallurgical Industry

Authors
N. H. Ibragimov
Department of Mathematics and Science, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
Received 21 June 2010, Accepted 16 August 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925111001337How to use a DOI?
Keywords
Liquid metals; Boundary-layer equation; Moffatt's model; Self-adjointness
Abstract

The paper is devoted to the Lie group analysis of a nonlinear equation arising in metallurgical applications of Magnetohydrodynamics. Self-adjointness of the basic equations is investigated. The analysis reveals two exceptional values of the exponent playing a significant role in the model.

Copyright
© 2011 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
18 - Supplement 1
Pages
143 - 162
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001337How to use a DOI?
Copyright
© 2011 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

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TY  - JOUR
AU  - N. H. Ibragimov
PY  - 2021
DA  - 2021/01/07
TI  - Lie Group Analysis of Moffatt's Model in Metallurgical Industry
JO  - Journal of Nonlinear Mathematical Physics
SP  - 143
EP  - 162
VL  - 18
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001337
DO  - 10.1142/S1402925111001337
ID  - Ibragimov2021
ER  -