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<p>We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.</p>

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Global solutions of Euler–Maxwell equations with dissipation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2024年12月31日

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  • Bernard Ducomet,
  • Šárka Nečasová,
  • John Sebastian H. Simon

摘要

We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.