单一冲击:回顾性和前瞻性

Q4 Mathematics

Confluentes Mathematici Pub Date : 2011-11-20 DOI:10.1142/S1793744211000424

B. Keyfitz

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引用次数: 19

摘要

奇异激波最初是在20多年前被发明出来的，作为解决双曲守恒定律中一些棘手的黎曼问题的工具。虽然它们起初看起来只是数学上的奇思妙想，但新的应用表明它们可能具有更大的意义。在本文中，我叙述了它们的发现过程，这在很大程度上归功于米歇尔·沙茨曼(Michelle Schatzmann)，描述了它们的一些新旧外观，并提出了与保护法律体系中类型变化的有趣可能联系。

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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SINGULAR SHOCKS: RETROSPECTIVE AND PROSPECTIVE

Singular shocks were first devised over 20 years ago as a tool to resolve some otherwise intractable Riemann problems for hyperbolic conservation laws. Although they appeared at first to be merely a mathematical curiosity, new applications suggest that they may have some greater significance. In this paper, I recount the story of their discovery, which owes much to Michelle Schatzmann, describe some of their old and new appearances, and suggest intriguing possible connections with change of type in conservation law systems.

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.