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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 170–191
DOI: https://doi.org/10.4213/tm4035 (Mi tm4035) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Generalization of the Yang–Mills Equations

N. G. Marchuk

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4035
Abstract: A generalization of the Yang–Mills equations is proposed. It is shown that any solution of the Yang–Mills equations (in the Lorentz gauge) is also a solution of the new generalized equation. It is also shown that the generalized equation has solutions that do not satisfy the Yang–Mills equations.
Keywords: Yang–Mills equations, differential forms, Maxwell equations, gauge group, genforms, symmetric hyperbolic systems of equations.
Received: October 11, 2018
Revised: March 3, 2019
Accepted: June 12, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 157–177
DOI: https://doi.org/10.1134/S0081543819050158
Bibliographic databases:
Document Type: Article
UDC: 530.1:512.81
Language: Russian
Citation: N. G. Marchuk, “A Generalization of the Yang–Mills Equations”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 170–191; Proc. Steklov Inst. Math., 306 (2019), 157–177
Citation in format AMSBIB
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\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
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\vol 306
\pages 170--191
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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