退化反应扩散模型的近似解：一种实用的尖锐前沿方法

IF 1.7 3区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Journal of Mathematical Chemistry Pub Date : 2025-02-28 DOI:10.1007/s10910-025-01713-0

Jordan Hristov

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引用次数: 0

摘要

给出了与种群动力学和化学动力学相关的简并反应扩散模型的近似解析解。简并扩散率和生长函数都被表示为幂律函数。将积分平衡法应用于初步转换模型（通过Danckwerts转换），并通过直接积分方法提供了物理上合理的结果。模型方程缩放揭示了傅里叶数是控制无量纲群。

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Approximate solutions to a degenerate reaction–diffusion model: a pragmatic sharp front approach

Approximate analytical solutions to a degenerate reaction–diffusion model pertinent to population dynamics and chemical kinetics have been developed. Both the degenerate diffusivity and the growth function have been formulated as power-law functions. The integral-balance method applied to a preliminary transformed model (via the Danckwerts transformation) and by a direct integration approach has provided physically reasonable results. The model equation scaling has revealed the Fourier number as controlling dimensionless group.

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来源期刊

Journal of Mathematical Chemistry 化学-化学综合

CiteScore

3.70

自引率

17.60%

发文量

105

审稿时长

6 months

期刊介绍： The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches. Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.