Journal
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volume 70, Issue 7, Pages 477-482Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2015-0044
Keywords
Charged Particle; Fermi-Walker Derivative; Fluid Flow; Nonrotating Frame; Partial Differential Equation
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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.
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