Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 223, Pages 128–137
DOI: https://doi.org/10.36535/0233-6723-2023-223-128-137 (Mi into1162) 		 
Class of symmetric form for a model of the hydride phase transition

I. A. Chernov

Institute of Applied Mathematical Research of the Karelian Research Centre RAS, Petrozavodsk
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DOI: https://doi.org/10.36535/0233-6723-2023-223-128-137
Abstract: We consider a class of three-dimensional forms that admit a certain group of symmetries and are similar to tubular regions. Boundary-value problems in the invariant form in such domains can be reduced to problems with one spatial variable in a special coordinate system. A class of forms is proposed, their properties are proved, and examples are given.
Keywords: spatial symmetry, symmetry group, hydride phase transition.
Document Type: Article
UDC: 519.6
MSC: 53Z05, 35K51
Language: Russian
Citation: I. A. Chernov, “Class of symmetric form for a model of the hydride phase transition”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 128–137
Citation in format AMSBIB
\Bibitem{Che23}
\by I.~A.~Chernov
\paper Class of symmetric form for a model of the hydride phase transition
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 223
\pages 128--137
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1162}
\crossref{https://doi.org/10.36535/0233-6723-2023-223-128-137}
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