| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4663454 | Acta Mathematica Scientia | 2015 | 9 Pages |
Abstract
In this article, we study the flows of curves in the Galilean 3-space and its equiform geometry without any constraints. We find that the Frenet equations and the intrinsic quantities of the inelastic flows of curves are independent of time. We show that the motion of curves in the Galilean 3-space and its equiform geometry are described by the inviscid and viscous Burgers' equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
