沙堆和沙丘：颗粒物质的数学模型

IF 10.8 1区数学 Q1 MATHEMATICS, APPLIED

SIAM Review Pub Date : 2024-11-07 DOI:10.1137/23m1583673

Piermarco Cannarsa, Stefano Finzi Vita

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引用次数: 0

摘要

SIAM 评论》，第 66 卷第 4 期，第 751-777 页，2024 年 11 月。颗粒材料无处不在，不仅存在于环境中，也存在于我们的茶水间。由于可能发生雪崩或山体滑坡等突发现象，它们的特性与任何固体材料都有所不同。在此，我们将简要介绍它们的特性，以及（过去三十年间）在最新数学文献中可以找到的重现其行为的方法。我们将特别讨论针对台面上沙堆的生长以及风力作用下沙丘的形成和动态所提出的微分模型。这一研究领域仍然非常值得关注，因为目前还没有关于粒状物质动力学的综合通用模型，而只有适应特定情况的独立模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sandpiles and Dunes: Mathematical Models for Granular Matter

SIAM Review, Volume 66, Issue 4, Page 751-777, November 2024.
Granular materials are everywhere, in the environment but also in our pantry. Their properties are different from those of any solid material, due to the possibility of sudden phenomena such as avalanches or landslides. Here we present a brief survey on their characteristics and on what can be found (from the past thirty years) in the recent mathematics literature in order to reproduce their behavior. We discuss, in particular, differential models proposed for the growth of a sandpile on a table and, when wind comes into play, for the formation and dynamics of sand dunes. This field of research is still of great interest since there is no consolidated general model for the dynamics of granular matter, but rather only standalone models adapted to specific situations.

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来源期刊

SIAM Review 数学-应用数学

CiteScore

16.90

自引率

0.00%

发文量

期刊介绍： Survey and Review feature papers that provide an integrative and current viewpoint on important topics in applied or computational mathematics and scientific computing. These papers aim to offer a comprehensive perspective on the subject matter. Research Spotlights publish concise research papers in applied and computational mathematics that are of interest to a wide range of readers in SIAM Review. The papers in this section present innovative ideas that are clearly explained and motivated. They stand out from regular publications in specific SIAM journals due to their accessibility and potential for widespread and long-lasting influence.