Motions of Curves in the Pseudo-Galilean Space

Suleyman Cengiz, Esra Betul Koc Ozturk and Ufuk Ozturk

Mathematical Problems in Engineering, 2015, vol. 2015, 1-6

Abstract:

We study the flows of curves in the pseudo-Galilean 3-space and its equiform geometry without any constraints. We find that the Frenet equations and intrinsic quantities of the inelastic flows of curves are independent of time. We show that the motions of curves in the pseudo-Galilean 3-space and its equiform geometry are described by the inviscid and viscous Burgers’ equations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:150685

DOI: 10.1155/2015/150685

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