In this paper, we investigate the inextensible flows of polynomial space curves in R3. We calculate that the necessary and sufficient conditions for an inextensible curve flow are represented as a partial differential equation involving the curvatures. Also, we expressed the time evolution of the Frenet like curve (Flc) frame. Finally, an example of the evolution of the polynomial curve with Flc frame is given and graphed.
Şenyurt, Süleyman; Eren, Kemal; and Ayvacı, Kebire Hilal
(R1898) A Study on Inextensible Flows of Polynomial Curves with Flc Frame,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
1, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss1/9