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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2025, Volume 65, Number 7, Pages 1265–1276
DOI: https://doi.org/10.31857/S0044466925070145 (Mi zvmmf12017) 		 
Partial Differential Equations

On variational settings of the inverse coefficient problems in magnetic hydrodynamics

I. È. Stepanovaa, I. I. Kolotovb, A. V. Shchepetilovb, A. G. Yagolab, A. N. Levashovb

a Institute of Physics of the Earth, Russian Academy of Scienses
b Lomonosov Moscow State University
English version article
DOI: https://doi.org/10.31857/S0044466925070145
Abstract: The paper considers the problem of uniqueness of the solution to the inverse problem of determining the viscosity and magnetic viscosity coefficients from a system of partial differential equations describing MHD phenomena. Uniqueness theorems are given in the case of known magnetic field and velocity field of a charged fluid in the zero approximation, as well as in the case of a known total magnetic field.
Key words: uniqueness, magnetic viscosity, inverse coefficient problem, integral representation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FMWU-2025-0030
The work of I.E. Stepanova was supported by the Schmidt Institute of Physics of the Earth, Russian Academy of Sciences within the framework of the government assignments on the topic FMWU-2025-0030.
Received: 26.02.2025
Accepted: 23.04.2025
English version:
Computational Mathematics and Mathematical Physics, 2025, Volume 65, Issue 7, Pages 1646–1658
DOI: https://doi.org/10.1134/S0965542525700691
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: I. È. Stepanova, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov, “On variational settings of the inverse coefficient problems in magnetic hydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025), 1265–1276; Comput. Math. Math. Phys., 65:7 (2025), 1646–1658
Citation in format AMSBIB
\Bibitem{SteKolShc25}
\by I.~\`E.~Stepanova, I.~I.~Kolotov, A.~V.~Shchepetilov, A.~G.~Yagola, A.~N.~Levashov
\paper On variational settings of the inverse coefficient problems in magnetic hydrodynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2025
\vol 65
\issue 7
\pages 1265--1276
\mathnet{http://mi.mathnet.ru/zvmmf12017}
\elib{https://elibrary.ru/item.asp?id=82676652}
\transl
\jour Comput. Math. Math. Phys.
\yr 2025
\vol 65
\issue 7
\pages 1646--1658
\crossref{https://doi.org/10.1134/S0965542525700691}
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