Parallel Transportation of Droplets in a Multilayer Device by MEWOD

Author(s):  
Li-Yu Chu ◽  
Shih-Kang Fan
Author(s):  
Walid Krichene ◽  
Jack D. Reilly ◽  
Saurabh Amin ◽  
Alexandre M. Bayen

Author(s):  
Talat Korpinar ◽  
Ridvan Cem Demirkol ◽  
Zeliha Korpinar

In this paper, we first study the applications of the wave propagation flow in the normal direction, which is assumed to be the path of the propagated light radiated by Heisenberg ferromagnetic equation. Then the Coriolis phase is mainly used to demonstrate the relationship between the geometric magnetic phase and parallel transportation of the wave propagation field of the evolving light radiating in the normal orientation with Heisenberg ferromagnetic equation. Moreover, we investigate the geometric magnetic interpretation of the binormal evolution of the wave propagation field in the normal direction by considering the nonlinear fractional system with the repulsive type. Finally, we obtain numerical fractional solutions for the nonlinear fractional systems with the repulsive type by using the [Formula: see text]-Homotopy analysis transform ([Formula: see text]-HATM) method.


2018 ◽  
pp. 1107-1141
Author(s):  
Walid Krichene ◽  
Jack D. Reilly ◽  
Saurabh Amin ◽  
Alexandre M. Bayen

2013 ◽  
Vol 28 (32) ◽  
pp. 1350167 ◽  
Author(s):  
MUZAFFER ADAK ◽  
ÖZCAN SERT ◽  
MESTAN KALAY ◽  
MURAT SARI

In this paper, we elaborate on the symmetric teleparallel gravity (STPG) written in a non-Riemannian space–time with nonzero nonmetricity, but zero torsion and zero curvature. First, we give a prescription for obtaining the nonmetricity from the metric in a peculiar gauge. Then, we state that under a novel prescription of parallel transportation of a tangent vector in this non-Riemannian geometry, the autoparallel curves coincide with those of the Riemannian space–times. Subsequently, we represent the symmetric teleparallel theory of gravity by the most general quadratic and parity conserving Lagrangian with lagrange multipliers for vanishing torsion and curvature. We show that our Lagrangian is equivalent to the Einstein–Hilbert Lagrangian for certain values of coupling coefficients. Thus, we arrive at calculating the field equations via independent variations. Then, we obtain in turn conformal, spherically symmetric static, cosmological and pp-wave solutions exactly. Finally, we discuss a minimal coupling of a spin-1/2 field to STPG.


2017 ◽  
Vol 18 (9) ◽  
pp. 2569-2574 ◽  
Author(s):  
Xisong Dong ◽  
Yuetong Lin ◽  
Dayong Shen ◽  
Zhengxi Li ◽  
Fenghua Zhu ◽  
...  

2017 ◽  
Vol 18 (7) ◽  
pp. 1974-1979 ◽  
Author(s):  
Gang Xiong ◽  
Dayong Shen ◽  
Xisong Dong ◽  
Bin Hu ◽  
Dong Fan ◽  
...  

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