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<p>This paper investigates the Euler–Poisson system describing plasma flow, the fourth state of matter. We establish the global existence of steady solutions in quasi-one-dimensional convergent nozzles. Furthermore, we prove the global stability of steady supersonic flows under small initial-boundary perturbations through wave decomposition.</p>

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Global stability to supersonic Euler–Poisson system in quasi-one-dimensional convergent nozzles

  • 期刊论文

  • 发表日期：

    2026年1月11日

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  • Pu Gao,
  • Jianli Liu,
  • Wancheng Sheng

摘要

This paper investigates the Euler–Poisson system describing plasma flow, the fourth state of matter. We establish the global existence of steady solutions in quasi-one-dimensional convergent nozzles. Furthermore, we prove the global stability of steady supersonic flows under small initial-boundary perturbations through wave decomposition.