运动学守恒定律系统

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Current Science Pub Date : 2022-12-25 DOI:10.18520/cs/v123/i12/1441-1447

P. Prasad

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引用次数: 0

摘要

在广泛的物理现象中，我们发现表面Ω t随时间t演变，这需要数学处理。在这里，我们简要地回顾了一个被称为运动守恒定律(kcl)的守恒定律系统的理论，它控制着这些表面的演变。kcl是守恒形式的最一般方程，它支配着具有物理现实奇点的Ω t的演化。一种特殊类型的奇点是扭结，当它是二维曲线时，它是Ω t上的一个点，当它是三维曲面时，它是Ω t上的一条曲线。穿过一个扭结，到Ω t的法向方向n和Ω t的法向速度m是不连续的。这篇文章的目标读者是非该领域的专家。读者可以参考文献了解更多细节。

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System of kinematical conservation laws

In a wide range of physical phenomena, we find surfaces Ω t evolving in time t , which need mathematical treat-ment. Here, we briefly review the theory of a system of conservation laws known as the kinematical conservation laws (KCLs), which govern the evolution of these surfaces. KCLs are the most general equations in conservation form which govern the evolution of Ω t with physically realistic singularities. A special type of singularity is a kink, which is a point on Ω t when it is a curve in two dimensions and a curve on Ω t when it is a surface in three dimensions. Across a kink, the normal direction n to Ω t and the normal velocity m of Ω t are discontinuous. This article is aimed at non-experts in the field. Readers may refer to the literature for more details.

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来源期刊

Current Science 综合性期刊-综合性期刊

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

3 months

期刊介绍： Current Science, published every fortnight by the Association, in collaboration with the Indian Academy of Sciences, is the leading interdisciplinary science journal from India. It was started in 1932 by the then stalwarts of Indian science such as CV Raman, Birbal Sahni, Meghnad Saha, Martin Foster and S.S. Bhatnagar. In 2011, the journal completed one hundred volumes. The journal is intended as a medium for communication and discussion of important issues that concern science and scientific activities. Besides full length research articles and shorter research communications, the journal publishes review articles, scientific correspondence and commentaries, news and views, comments on recently published research papers, opinions on scientific activity, articles on universities, Indian laboratories and institutions, interviews with scientists, personal information, book reviews, etc. It is also a forum to discuss issues and problems faced by science and scientists and an effective medium of interaction among scientists in the country and abroad. Current Science is read by a large community of scientists and the circulation has been continuously going up. Current Science publishes special sections on diverse and topical themes of interest and this has served as a platform for the scientific fraternity to get their work acknowledged and highlighted. Some of the special sections that have been well received in the recent past include remote sensing, waves and symmetry, seismology in India, nanomaterials, AIDS, Alzheimer''s disease, molecular biology of ageing, cancer, cardiovascular diseases, Indian monsoon, water, transport, and mountain weather forecasting in India, to name a few. Contributions to these special issues ‘which receive widespread attention’ are from leading scientists in India and abroad.