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arXiv · 2601.08409

Global compressible Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for all cutoff potentials

Qin Ye·Fujun Zhou·Weijun Wu
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Abstract

The ionic Vlasov-Poisson-Boltzmann system is a fundamental model in dilute collisional plasmas. In this work, we study the compressible ionic Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for the full range of cutoff potentials $-3 < \gamma \leq 1$. By employing a truncated Hilbert expansion together with a novel weighted $H^1_{x,v}$-$W^{1,\infty}_{x,v}$ framework, we prove that the solution of the ionic Vlasov-Poisson-Boltzmann converges globally in time to the smooth global solution of the compressible ionic Euler-Poisson system.

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Qin Ye, Fujun Zhou, Weijun Wu. 2026-01-13. Global compressible Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for all cutoff potentials. https://arxiv.org/abs/2601.08409

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