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arXiv · 2602.03463

Internal free boundary problem for cold plasma equations

Lidia Gargyants·Anna Konovalova·Olga Rozanova
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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.

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Lidia Gargyants, Anna Konovalova, Olga Rozanova. 2026-02-03. Internal free boundary problem for cold plasma equations. https://arxiv.org/abs/2602.03463

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