TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Article

Time Evolution Equations for Surfaces Generated via Binormal Spherical Image in Terms of Inextensible Flows in

* Corresponding author · click or hover a name for details

pp. 145–157Vol. 12Issue 2July 2014DOI: 10.1080/1726037X.2014.979711XML
Received:
22 Sep 2014
Accepted:
13 Oct 2014
Published Online:
03 Dec 2014
Article type:
Article
Language:
EN
Article no.:
1726037X.2014.979711
Pages:
145–157

Abstract

In this work, we study time-evolution equations that the intrinsic quantities of curves to construct binormal spherical curves as surfaces in terms of inextensible flows in . Using the Frenet frame of the given curve, we present partial differential equations. We give necessary and sufficient condition for a binormal spherical curves as surfaces to be a Bonnet surface. Finally, we draw some pictures of our main results.

References

  1. NH.Abdel-All, R. A.Hussien and T.Youssef: 9 ( 3 ) ( 2012 ), 556 – 560 . David Gans, Structural Dynamics, Journal of Dynamical Systems, Vol. 3, Number 2, 43-55 (2010) .
  2. S.J.Altschuler and M.A.Grayson: , IMA preprint series ( 823 ), 1991 .
  3. M.do Carmo: , Prentice-Hall , Englewood Cliffs, 1976 .
  4. A.Einstein: , ( New York: Henry Holt , 1920 ).
  5. E. L.Guen, M.Carin, R.Fabbro, F.Coste, P. L.Masson: , International Journal of Heat and Mass Transfer 54 ( 2011 ) 1313 – 1322
  6. T.Korpinar, E.Turhan: , Prespacetime Journal 4 ( 4 ) ( 2013 ), 342 – 355 .
  7. DY.Kwon, FC.Park: , Appl. Math. Lett . 12 ( 1999 ), 115 – 119 .
  8. DY.Kwon, FC.Park, DPChi: , Appl. Math. Lett . 18 ( 2005 ), 1156 – 1162 .
  9. T.Lamm: , Calc. Var . 22 ( 2005 ), 421 – 445 .
  10. D. J.Struik: , Dover , New-York, 1988 .
  11. E.Turhan and T.Körpınar: ; Zeitschrift für Naturforschung A- A Journal of Physical Sciences 65a ( 2010 ), 641 – 648 .
  12. E.Turhan and T.Körpınar: , Bol. Soc. Paran. Mat ., 31 ( 1 ) ( 2013 ), 99 – 104 .
  13. D.J.Unger: , Int. J. Fract . 50 ( 1991 ) 33 – 38 .
  14. S.Yılmaz and M.Turgut: , J. Math. Anal. Appl ., 371 ( 2010 ), 764 – 776 .
Views: 34Downloads: 70Citations: 6