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Abstract <p>The paper considers the problem of uniqueness of the solution to the inverse problem of determining the viscosity and magnetic viscosity coefficients from a system of partial differential equations describing MHD phenomena. Uniqueness theorems are given in the case of known magnetic field and velocity field of a charged fluid in the zero approximation, as well as in the case of a known total magnetic field.</p>

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On Variational Formulations of Inverse Coefficient Problems in Magnetic Hydrodynamics

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • I. E. Stepanova,
  • I. I. Kolotov,
  • A. V. Shchepetilov,
  • A. G. Yagola,
  • A. N. Levashov

摘要

Abstract

The paper considers the problem of uniqueness of the solution to the inverse problem of determining the viscosity and magnetic viscosity coefficients from a system of partial differential equations describing MHD phenomena. Uniqueness theorems are given in the case of known magnetic field and velocity field of a charged fluid in the zero approximation, as well as in the case of a known total magnetic field.