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arXiv 1006.0694math-phcs.NAmath.MPmath.NAphysics.soc-ph
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颗粒流的多尺度建模及其在人群动力学中的应用

Multiscale modeling of granular flows with application to crowd dynamics

University of Salerno(萨莱诺大学);Istituto per le Applicazioni del Calcolo “M. Picone”, CNR(CNR计算应用研究所(M. Picone));Department of Mathematics, Politecnico di Torino(都灵理工大学数学系)

Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin

AI总结:

提出一种基于测度论方法的多尺度建模技术,实现微观与宏观尺度的耦合,用于人群动力学模拟。

摘要:

本文提出了一种新的多尺度建模技术。该技术依赖于最近引入的一种测度论方法,允许在统一框架下处理微观和宏观尺度。在得到的耦合模型中,两个尺度共存并共享信息。这使得能够进行数值模拟,其中粒子的轨迹和密度相互影响。人群动力学是贯穿全文的激励应用。

英文摘要:

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This allows to perform numerical simulations in which the trajectories and the density of the particles affect each other. Crowd dynamics is the motivating application throughout the paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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