Vlasov-Poisson-Fokker-Planck系统的扩散极限和最优收敛速率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-08-07 DOI:10.3934/krm.2021041

Mingying Zhong

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引用次数: 1

摘要

本文研究了初始数据接近全局麦克斯韦方程组的Vlasov-Poisson-Fokker-Planck (VPFP)系统经典解的扩散极限。我们证明了VPFP系统的全局强解对漂移-扩散-泊松系统的收敛性，并建立了基于谱分析的最优收敛速率，并对初始层进行了精确估计。

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Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system

In the present paper, we study the diffusion limit of the classical solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system with initial data near a global Maxwellian. We prove the convergence and establish the optimal convergence rate of the global strong solution to the VPFP system towards the solution to the drift-diffusion-Poisson system based on the spectral analysis with precise estimation on the initial layer.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.