International Conference of Physicists.SPb, October 20-24, 2025, Saint Petersburg
Astronomy and Astrophysics

Spectral problems in galactic dynamo theory: asymptotic and numerical approaches

E. A. Mikhaylov^abc, V. A. Zheltigovskii^d, A. A. Taranyuk^bd, M. V. Frolova<sup>b

a</sup> P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
^b Lomonosov Moscow State University
^c Moscow Center for Fundamental and Applied Mathematics
^d Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS

Abstract: The origin of galactic magnetic fields is described using magnetohydrodynamics and dynamo theory. Two different scales are considered: the microscopic scale, where equations for magnetic field evolution and transport, directly following from Maxwell's equations, are applicable, and the macroscopic scale, where dynamo equations for mean fields are considered after averaging over turbulence scales. Of particular interest are models that take into account the significant thickness of the galactic disk. In all models, the possibility of magnetic field generation is described by a spectrum of corresponding differential operators.

Keywords: galaxies, spectra, differential operator, magnetism.

Received: 05.05.2025
Revised: 22.07.2025
Accepted: 23.07.2025

DOI: 10.61011/JTF.2025.12.61791.235-25

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