On the Fermi-Walker Derivative for Inextensible Flows

被引：49

作者：

Korpinar, Talat ^{[1
]}

机构：

[1] Mus Alparslan Univ, Dept Math, TR-49250 Mus, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2015年 / 70卷 / 07期

关键词：

Charged Particle; Fermi-Walker Derivative; Fluid Flow; Nonrotating Frame; Partial Differential Equation; BIHARMONIC PARTICLES; LORENTZ TRANSFORMATIONS; CURVES; SURFACES;

D O I：

10.1515/zna-2015-0044

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, we explicitly determine some curves corresponding to the their flows on the three-dimensional space. We construct a new characterisation for inextensible flows of curves by using the Fermi-Walker derivative and the Fermi-Walker parallelism in space. Using the Frenet frame of the given curve, we present partial differential equations. Finally, we construct the Fermi-Walker derivative in the motion of a charged particle under the action of electric and magnetic fields.

引用

页码：477 / 482

页数：6

共 48 条

[21] NEW VERSION OF FERMI-WALKER DERIVATIVES ACCORDING TO THE TYPE-2 BISHOP FRAME WITH ENERGY
Korpinar, Talat
Ozdemir, Hatice
Korpinar, Zeliha
JOURNAL OF SCIENCE AND ARTS, 2021, (01) : 113 - 124
[22] Fermi-Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds
Demirkol, Ridvan Cem
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18985 - 18998
[23] ON NEW FERMI WALKER DERIVATIVE OF BIHARMONIC PARTICLES IN HEISENBERG SPACETIME
Korpinar, Talat
HONAM MATHEMATICAL JOURNAL, 2019, 41 (01): : 153 - 161
[24] New Electromagnetic Fluids Inextensible Flows of Spacelike Particles and some Wave Solutions in Minkowski Space-time
Korpinar, Zeliha S.
Tuz, Munevver
Korpinar, Talat
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (01) : 8 - 16
[25] On the Surface the Fermi–Walker Derivative in Minkowski 3-Space
Fatma Karakuş
Yusuf Yayli
Advances in Applied Clifford Algebras, 2016, 26 : 613 - 624
[26] The Fermi–Walker Derivative and Non-rotating Frame in Dual Space
Tevfik Şahin
Fatma Karakuş
Yusuf Yaylı
Advances in Applied Clifford Algebras, 2018, 28
[27] Approximation for Inextensible Flows of Curves in E-3
Korpinar, Talat
Turhan, Essin
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (02): : 45 - 54
[28] The Fermi derivative in the hypersurfaces
Karakus, Fatma
Yayli, Yusuf
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2015, 12 (01)
[29] New inextensible flows of principal normal spherical image
Korpinar, Talat
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (01)
[30] The Fermi–Walker Derivative on the Spherical Indicatrix of Timelike Curve in Minkowski 3-Space
Fatma Karakuş
Yusuf Yaylı
Advances in Applied Clifford Algebras, 2016, 26 : 199 - 215

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