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Abstract <p>Based on estimates of the characteristic values of the terms in the hydromagnetic dynamo equations, it was shown that a significant factor is the stabilizing nonlinearity inversely proportional to the electric current. Using the average value obtained for it, the simplest hydromagnetic model for magnetic energy was constructed, consisting of one nonhomogeneous linear ordinary differential equation.</p>

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On the Simplest Solutions of the MHD Equations for the Total Magnetic Energy in the Convective Zone of Sun and Earth

  • 期刊论文

  • 发表日期：

    2025年7月16日

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  • S. V. Starchenko,
  • M. S. Kotelnikova

摘要

Abstract

Based on estimates of the characteristic values of the terms in the hydromagnetic dynamo equations, it was shown that a significant factor is the stabilizing nonlinearity inversely proportional to the electric current. Using the average value obtained for it, the simplest hydromagnetic model for magnetic energy was constructed, consisting of one nonhomogeneous linear ordinary differential equation.