Prasad, P (2022) System of kinematical conservation laws. In: Current Science, 123 (12). pp. 1441-1447.
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Abstract
In a wide range of physical phenomena, we find surfaces Ωt evolving in time t, which need mathematical treatment. 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 Ωt with physically realistic singularities. A special type of singularity is a kink, which is a point on Ωt when it is a curve in two dimensions and a curve on Ωt when it is a surface in three dimensions. Across a kink, the normal direction n to Ωt and the normal velocity m of Ωt are discontinuous. This article is aimed at non-experts in the field. Readers may refer to the literature for more details. © 2022, Current Science. All Rights Reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Current Science |
| Publisher: | Indian Academy of Sciences |
| Additional Information: | The copyright for this article belongs to Indian Academy of Sciences. |
| Keywords: | Curves and surfaces; Kinematical conservation laws; Kink; Ray theory. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 02 Feb 2023 10:47 |
| Last Modified: | 02 Feb 2023 10:47 |
| URI: | https://eprints.iisc.ac.in/id/eprint/79796 |
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