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, 2021, Volume 196, Pages 3–14
DOI: https://doi.org/10.36535/0233-6723-2021-196-3-14 (Mi into844) 		 
Investigation of Beltrami fields by methods of integral geometry

A. L. Balandin

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
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DOI: https://doi.org/10.36535/0233-6723-2021-196-3-14
Abstract: In this paper, we propose a tomographic method for studying linear Beltrami fields in a bounded domain of space based on the expansion of vector fields and their ray transforms by basic vector functions. In addition, we develop a numerical algorithm and present the results of numerical simulation.
Keywords: inverse problem, Beltrami field, ray transform, vector spherical harmonic.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-8081.2016.9
This work was supported by the Grant Council of the President of the Russian Federation for State Support of Leading Scientific Schools (project NSh-8081.2016.9).
Document Type: Article
UDC: 517.444, 519.654
MSC: 65R30, 65R32, 65Z05
Language: Russian
Citation: A. L. Balandin, “Investigation of Beltrami fields by methods of integral geometry”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196, VINITI, Moscow, 2021, 3–14
Citation in format AMSBIB
\Bibitem{Bal21}
\by A.~L.~Balandin
\paper Investigation of Beltrami fields by methods of integral geometry
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 196
\pages 3--14
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into844}
\crossref{https://doi.org/10.36535/0233-6723-2021-196-3-14}
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