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<p>We employ a model of a special type of continuum that possesses both translational and rotational degrees of freedom. We formulate differential equations describing the behaviour of this continuum by using the spatial description with a moving observation point. Next, we reduce these differential equations to the form convenient for the comparison with Maxwell’s equations and introduce electrodynamic analogues of mechanical quantities. In doing so, we arrive at Maxwell’s equations that have exactly the same form in the case of moving media and in the case of motionless media. We also obtain the constitutive equations that coincide with the Lorentz equations and the constitutive equations that coincide with the Minkowski equations.</p>

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A micropolar continuum and equations of electrodynamics of moving media

  • 期刊论文

  • 发表日期：

    2025年6月19日

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  • Sofia Bykova,
  • Elena Ivanova

摘要

We employ a model of a special type of continuum that possesses both translational and rotational degrees of freedom. We formulate differential equations describing the behaviour of this continuum by using the spatial description with a moving observation point. Next, we reduce these differential equations to the form convenient for the comparison with Maxwell’s equations and introduce electrodynamic analogues of mechanical quantities. In doing so, we arrive at Maxwell’s equations that have exactly the same form in the case of moving media and in the case of motionless media. We also obtain the constitutive equations that coincide with the Lorentz equations and the constitutive equations that coincide with the Minkowski equations.