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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 196, Pages 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

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.

UDC: 517.444, 519.654

MSC: 65R30, 65R32, 65Z05

DOI: 10.36535/0233-6723-2021-196-3-14



© Steklov Math. Inst. of RAS, 2024