非线性Vlasov-Poisson-Fokker-Planck系统的大摩擦-高力场极限

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-03-23 DOI:10.3934/krm.2021052

J. Carrillo, Young-Pil Choi, Yingping Peng

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引用次数: 6

摘要

本文对具有大线性摩擦力和高力场的非线性Vlasov-Poisson-Fokker-Planck系统进行了定量渐近分析。极限系统是具有非局部速度场的扩散模型，通常称为聚集-扩散方程。我们证明了Vlasov-Poisson-Fokker-Planck系统的弱解强收敛于扩散模型的强解。我们的证明依赖于基于弱-强唯一性原理的调制宏观动能估计以及对泊松方程的仔细分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large friction-high force fields limit for the nonlinear Vlasov–Poisson–Fokker–Planck system

We provide a quantitative asymptotic analysis for the nonlinear Vlasov–Poisson–Fokker–Planck system with a large linear friction force and high force-fields. The limiting system is a diffusive model with nonlocal velocity fields often referred to as aggregation-diffusion equations. We show that a weak solution to the Vlasov–Poisson–Fokker–Planck system strongly converges to a strong solution to the diffusive model. Our proof relies on the modulated macroscopic kinetic energy estimate based on the weak-strong uniqueness principle together with a careful analysis of the Poisson equation.

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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.