LINEAR PERTURBATIONS OF THE BLOCH TYPE OF SPACE-PERIODIC MAGNETOHYDRODYNAMIC STEADY STATES. III. ASYMPTOTICS OF BRANCHING

Autores: Chertovskih R.¹, Zheligovsky V.¹
Afiliações:
1. Institute of Earthquake Prediction Theory and Mathematical Geophysics Russian academy of sciences
Edição: Volume 23, Nº 5 (2023)
Páginas: ES5004
Seção: Articles
URL: https://journals.rcsi.science/1681-1208/article/view/259644
DOI: https://doi.org/10.2205/2023ES000841
ID: 259644

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Texto integral

Power series expansion, asymptotics, kinematic dynamo problem, Bloch magnetic mode, branching, neutral eigenmodes, magnetic eddy diffusivity, scale separation.

Institute of Earthquake Prediction Theory and Mathematical Geophysics Russian academy of sciences

Autor responsável pela correspondência
Email: vlad@mitp.ru
ORCID ID: 0000-0002-5179-4344
Scopus Author ID: 35794881600
Researcher ID: F-3001-2010

Institute of Earthquake Prediction Theory and Mathematical Geophysics Russian academy of sciences

Andrievsky, A., A. Brandenburg, A. Noullez, and V. Zheligovsky (2015), Negative magnetic eddy diffusivities from the test-field method and multiscale stability theory, The Astrophysical Journal, 811(2), 135, https://doi.org/10.1088/0004-637x/811/2/135.
Arnol’d, V., Y. Zel’dovich, A. Ruzmaikin, and D. Sokolov (1982), Steady-state magnetic field in a periodic flow, Soviet Physics–Doklady, 266(6), 1357–1361 (in Russian).
Chertovskih, R., and V. Zheligovsky (2023 a), Linear perturbations of the Bloch type of space-periodic magnetohydrodynamic steady states. I. Mathematical preliminaries, Russian Journal of Earth Sciences, 23, ES3001, https://doi.org/10.2205/2023ES000834.
Chertovskih, R., and V. Zheligovsky (2023 b), Linear perturbations of the Bloch type of space-periodic magnetohydrodynamic steady states. II. Numerical results, Russian Journal of Earth Sciences, 23, ES4004, https://doi.org/10.2205/2023ES000838.
Rasskazov, A., R. Chertovskih, and V. Zheligovsky (2018), Magnetic field generation by pointwise zero-helicity threedimensional steady flow of an incompressible electrically conducting fluid, Physical Review E, 97(4), 043,201, https://doi.org/10.1103/PhysRevE.97.043201.
Zheligovsky, V. (2011), Large-Scale Perturbations of Magnetohydrodynamic Regimes, 330 pp., Springer Berlin Heidelberg, https://doi.org/10.1007/978-3-642-18170-2.

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