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The diffusive limit of Vlasov–Poisson–Fokker–Planck system.

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Title: The diffusive limit of Vlasov–Poisson–Fokker–Planck system.
Authors: Huang, Ziwei1 (AUTHOR) 759300136@qq.com, Liu, Zhengrong2 (AUTHOR) liuzr0726@sina.com
Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Apr2026, Vol. 77 Issue 4, p1-29. 29p.
Subjects: Asymptotic expansions, Drift diffusion models, Nonlinear functional analysis, Diffusion coefficients, Maxwell-Boltzmann distribution law
Abstract: Given a normalized Maxwellian μ = 1 (2 π) 3 2 e - | v | 2 2 , we employ a diffusive expansion to derive the Drift–Diffusive–Poisson equations from the Vlasov–Poisson–Fokker–Planck system. We prove the uniform boundedness and time decay estimate for the remainders via a unified nonlinear energy method, and these guarantee the global in time validity of such an expansion up to any order. [ABSTRACT FROM AUTHOR]
Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193283416
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  Data: <searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink><br /><searchLink fieldCode="DE" term="%22Drift+diffusion+models%22">Drift diffusion models</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+functional+analysis%22">Nonlinear functional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion+coefficients%22">Diffusion coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Maxwell-Boltzmann+distribution+law%22">Maxwell-Boltzmann distribution law</searchLink>
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  Data: Given a normalized Maxwellian μ = 1 (2 π) 3 2 e - | v | 2 2 , we employ a diffusive expansion to derive the Drift–Diffusive–Poisson equations from the Vlasov–Poisson–Fokker–Planck system. We prove the uniform boundedness and time decay estimate for the remainders via a unified nonlinear energy method, and these guarantee the global in time validity of such an expansion up to any order. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00033-026-02775-z
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      – Code: eng
        Text: English
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        PageCount: 29
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    Subjects:
      – SubjectFull: Asymptotic expansions
        Type: general
      – SubjectFull: Drift diffusion models
        Type: general
      – SubjectFull: Nonlinear functional analysis
        Type: general
      – SubjectFull: Diffusion coefficients
        Type: general
      – SubjectFull: Maxwell-Boltzmann distribution law
        Type: general
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      – TitleFull: The diffusive limit of Vlasov–Poisson–Fokker–Planck system.
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            NameFull: Huang, Ziwei
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              M: 04
              Text: Apr2026
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              Y: 2026
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              Value: 77
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