dorsal/arxiv
View SchemaGlobal compressible Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for all cutoff potentials
| Authors | Qin Ye, Fujun Zhou, Weijun Wu |
|---|---|
| Categories | |
| ArXiv ID | 2601.08409vv1 |
| URL | https://arxiv.org/abs/2601.08409 |
| License | http://creativecommons.org/publicdomain/zero/1.0/ |
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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"date_created": "2026-02-17T05:53:16.244000Z",
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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 $-3 \u003c \\gamma \\leq 1$. 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.",
"arxiv_id": "2601.08409",
"authors": [
"Qin Ye",
"Fujun Zhou",
"Weijun Wu"
],
"categories": [
"math.AP"
],
"license": "http://creativecommons.org/publicdomain/zero/1.0/",
"title": "Global compressible Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for all cutoff potentials",
"url": "https://arxiv.org/abs/2601.08409",
"version": "v1"
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"type": "Model",
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