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, 2017, Volume 140, Pages 50–67 (Mi into234)  
Spectral problem for the curl of a vector field in a nonorthogonal coordinate system

G. G. Islamov

Udmurt State University, Izhevsk
Full-text PDF (257 kB)
Abstract: We discuss computational aspects of the spectral problem for the curl of a vector field that allow one to find tangent fields to coordinate surfaces of a given curvilinear coordinate system.
Keywords: force-free field, curl, spectral problem, local nonorthogonal coordinate system, transition matrix, biorthogonal basis, tangent field, coordinate surface.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 4, Pages 430–447
DOI: https://doi.org/10.1007/s10958-019-04435-2
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 78A25, 83C50
Language: Russian
Citation: G. G. Islamov, “Spectral problem for the curl of a vector field in a nonorthogonal coordinate system”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 140, VINITI, M., 2017, 50–67; Journal of Mathematical Sciences, 241:4 (2019), 430–447
Citation in format AMSBIB
\Bibitem{Isl17}
\by G.~G.~Islamov
\paper Spectral problem for the curl of a vector field in a nonorthogonal coordinate system
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 140
\pages 50--67
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into234}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3799895}
\zmath{https://zbmath.org/?q=an:1428.78007}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 4
\pages 430--447
\crossref{https://doi.org/10.1007/s10958-019-04435-2}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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