一维修正Vlasov-Poisson-Boltzmann系统的Green函数和点态行为

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-23 DOI:10.3934/krm.2023004

Yanchao Li, Mingying Zhong

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引用次数: 0

摘要

本文研究了一维空间中格林函数的点向时空行为和改进Vlasov- Poisson-Boltzmann (mVPB)系统的全局解。结果表明，格林函数允许扩散波、惠更斯型声波、奇异动能波和剩余项在时空中呈指数衰减。这些行为类似于玻尔兹曼方程(Liu and Yu in Comm. Pure apple)。数学。57:1543-1608,2004)。在此基础上，利用格林函数建立了非线性mVPB系统全局解的点向时空非线性扩散行为。

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Green's function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system

The pointwise space-time behaviors of the Green's function and the global solution to the modified Vlasov- Poisson-Boltzmann (mVPB) system in one-dimensional space are studied in this paper. It is shown that, the Green's function admits the diffusion wave, the Huygens's type sound wave, the singular kinetic wave and the remainder term decaying exponentially in space-time. These behaviors are similar to the Boltzmann equation (Liu and Yu in Comm. Pure Appl. Math. 57: 1543-1608, 2004). Furthermore, we establish the pointwise space-time nonlinear diffusive behaviors of the global solution to the nonlinear mVPB system in terms of the Green's function.

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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.