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

作者: Chertovskih R.¹, Zheligovsky V.¹
隶属关系:
1. Institute of Earthquake Prediction Theory and Mathematical Geophysics Russian academy of sciences
期: 卷 23, 编号 5 (2023)
页面: ES5004
栏目: Articles
URL: https://journal-vniispk.ru/1681-1208/article/view/259644
DOI: https://doi.org/10.2205/2023ES000841
ID: 259644

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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

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Email: vlad@mitp.ru
ORCID iD: 0000-0002-5179-4344
Scopus 作者 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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