On the Uniqueness of the Solution to the Inverse Problem of Determining the Diffusion Coefficient of the Magnetic Field Necessary for Constructing Analytical Models of the Magnetic Field of Mercury

Inna Stepanova (), Igor Kolotov, Dmitry Lukyanenko and Alexey Shchepetilov
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Inna Stepanova: Schmidt Insitute of Physics of Earth, Russian Academy of Sciences, 123995 Moscow, Russia
Igor Kolotov: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
Dmitry Lukyanenko: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
Alexey Shchepetilov: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia

Mathematics, 2024, vol. 12, issue 8, 1-11

Abstract: This paper considers the problem of the uniqueness of the solution to the coefficient inverse problem for the system of equations of magneto-hydrodynamics, the solution to which allows more accurately describing the processes of generating the magnetic field of planets with a magneto-hydrodynamic dynamo. The conditions under which it is possible to determine three components of the magnetic induction vector and the magnetic field diffusion coefficient are determined.

Keywords: coefficient inverse problem; regularization; magnetic field; magneto-hydrodynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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