Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
