漂移-扩散方程的不确定性分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-01 DOI:10.1615/int.j.uncertaintyquantification.2024039459

Greta Marino, Jan-Frederik Pietschmann, Alois Pichler

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引用次数: 0

摘要

我们研究了各种参数随机时的漂移-扩散型演化方程。受行人动力学应用的启发，我们重点研究了由于边界项或反应项导致总质量不守恒的情况。在提供了确定性问题的存在性和稳定性之后，我们考虑了数据的不确定性。我们建议通过标量统计来测量解的函数，即所谓的兴趣量（QoI），而不是敏感性分析。对于这些概括统计量，我们提供了概率连续性结果。

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Uncertainty Analysis for Drift-Diffusion Equations

We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass is, due to boundary or reaction terms, not conserved. After providing existence and stability for the deterministic problem, we consider uncertainty in the data. Instead of a sensitivity analysis we propose to measure functionals of the solution, so-called quantities of interest (QoI), by involving scalarizing statistics. For these summarizing statistics we provide probabilistic continuity results.

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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.