具有粒径扩散的破碎方程:平稳解的大小粒径行为

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-05-21 DOI:10.3934/krm.2021032

Philippe Laurencçot, Christoph Walker

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引用次数: 2

摘要

研究了具有粒径扩散的破碎方程平稳解的大小尺寸行为。结果表明，这些解在大尺寸下表现为拉伸的指数，指数中的指数完全由无穷远处的整体破碎率的行为给出。相比之下，小尺寸的行为部分由子破碎分布控制，最多是线性的，可能具有非代数行为。给出了特定破碎系数的显式解。

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The fragmentation equation with size diffusion: Small and large size behavior of stationary solutions

The small and large size behavior of stationary solutions to the fragmentation equation with size diffusion is investigated. It is shown that these solutions behave like stretched exponentials for large sizes, the exponent in the exponential being solely given by the behavior of the overall fragmentation rate at infinity. In contrast, the small size behavior is partially governed by the daughter fragmentation distribution and is at most linear, with possibly non-algebraic behavior. Explicit solutions are also provided for particular fragmentation coefficients.

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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.