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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., 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

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.

UDC: 517.958

MSC: 78A25, 83C50


 English version: Journal of Mathematical Sciences (New York), 2019, 241:4, 430–447

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© Steklov Math. Inst. of RAS, 2025