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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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Inna Stepanova & Igor Kolotov & Dmitry Lukyanenko & Alexey Shchepetilov, 2024. "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," Mathematics, MDPI, vol. 12(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1169-:d:1374951
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