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Abstract <p>For the system of cold plasma equations describing the motion of electrons in the field of stationary ions, we consider the Riemann problem posed at an impenetrable interface between two media. These media differ in the magnitude of the constant ion field. The interface between the media is assumed to be free. Its position is determined from the generalized Rankine–Hugoniot conditions and the stability condition, that is, the intersection of Lagrangian particle trajectories at the interface.</p>

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Internal Free Boundary Problem for Cold Plasma Equations

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • L. V. Gargyants,
  • A. V. Konovalova,
  • O. S. Rozanova

摘要

Abstract

For the system of cold plasma equations describing the motion of electrons in the field of stationary ions, we consider the Riemann problem posed at an impenetrable interface between two media. These media differ in the magnitude of the constant ion field. The interface between the media is assumed to be free. Its position is determined from the generalized Rankine–Hugoniot conditions and the stability condition, that is, the intersection of Lagrangian particle trajectories at the interface.