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Spectral Problem for the Curl of a Vector Field in a Nonorthogonal Coordinate System

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Information Technologies, and Physics of the Udmurt State University, Izhevsk, Russia

    G. G. Islamov

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  1. G. G. Islamov
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Correspondence to G. G. Islamov.

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Dedicated to Academician S. M. Nikol’skii

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 140, Differential Equations. Mathematical Physics, 2017.

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Islamov, G.G. Spectral Problem for the Curl of a Vector Field in a Nonorthogonal Coordinate System. J Math Sci 241, 430–447 (2019). https://doi.org/10.1007/s10958-019-04435-2

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  • DOI: https://doi.org/10.1007/s10958-019-04435-2

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