In the paper, we consider the local‐in‐time and the global‐in‐time convergence of infinity‐ion‐mass limit for bipolar Euler–Maxwell systems by setting the mass of an electron $m_e=1$ and letting the mass of an ion m_i → +∞. We use the method of asymptotic expansions to handle the local‐in‐time convergence problem and find that the limiting process from bipolar models to unipolar models is actually decoupling but not the vanishing of equations for the corresponding the other particle. Moreover, when the initial data are sufficiently close to the constant equilibrium state, we also establish the corresponding global‐in‐time convergence.

中文翻译：

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双极欧拉-麦克斯韦系统的电子的单极欧拉-麦克斯韦系统通过无穷大离子质量极限的严格推导

在本文中，我们通过设置电子质量来考虑双极Euler-Maxwell系统的无穷离子质量极限的局部时间和全局时间收敛 ${米}_{Ë}=\mathrm{1个}$并让离子的质量为m _i  →+ ∞。我们使用渐近展开法来处理局部时间收敛问题，发现从双极模型到单极模型的限制过程实际上是去耦的，而不是对应于另一个粒子的方程式的消失。此外，当初始数据足够接近恒定平衡状态时，我们还将建立相应的全局时间收敛。