• 대한수학회지
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• 제58권5호
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• pp.1131-1145
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• 2021

In this article, we study the Klein-Gordon-Maxwell equations arising from a semilocal gauge field model. This model describes the interaction of two complex scalar fields and one gauge field, and generalizes the classical Klein-Gordon equation coupled with the Maxwell electrodynamics. We prove that there exist infinitely many standing wave solutions for p ∈ (2, 6) which are radially symmetric. Here, p comes from the exponent of the potential of scalar fields. We also prove the nonexistence of nontrivial solutions for the critical case p = 6.

• Nonlinear Functional Analysis and Applications
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• 제27권3호
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• pp.471-497
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• 2022

In this paper, we study a system of nonlinear wave equations associated with the helical flows of Maxwell fluid. By constructing a N-order iterative scheme, we prove the local existence and uniqueness of a weak solution. Furthermore, we show that the sequence associated with N-order iterative scheme converges to the unique weak solution at a rate of N-order.

• Advances in nano research
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• 제13권1호
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• pp.77-86
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• 2022

This paper studied the peristaltic transport of upper convected Maxwell nanofluid through a porous medium in a heated (isothermal) symmetric vertical channel. The nanofluid is assumed to be electrically conducting in the presence of a uniform magnetic field. These phenomena are modeled mathematically by a differential equations system by taking low Reynolds number and long-wavelength approximation, the yield differential equations have solved analytically. A suggested new technique to display and discuss the trapping phenomenon is presented. We discussed and analyzed the pumping characteristics, heat function, flow velocity and trapping phenomena which were illustrated graphically through a set of figures for various values of parameters of the problem. The numerical results show that, there are remarkable effects on the vertical velocity, pressure gradient and trapping phenomena with the thermal change of the walls.

• Smart Structures and Systems
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• 제9권5호
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• pp.427-439
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• 2012

The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

• Transactions on Electrical and Electronic Materials
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• 제17권5호
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• pp.252-256
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• 2016

This paper deals the study of a linear MHD pump solution used to eliminate and to avoid the dangers of the mercury appearing through pollution and contamination. The formulation of the magnetohydrodynamic phenomena is derived from Maxwell and Navier-Stokes equations are solved using the finite volume method. Simulation results highlight the performance of the pump such as the electromagnetic force, the velocity, and the pressure, the application of Ansys-Fluent software validation these results.

• 한국안전학회지
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• 제19권2호
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• pp.34-40
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• 2004

This paper presents an analysis of SAR(Specific Absorption Rate) distribution characteristics in a head model using FDTD(Finite Difference Time Domain). In this study human head was modelled in four elements-layered structure, consisting of skin, fat, skull and brain. To calculate the electromagnetic fields wihtin the head model, FDTD method was used. In the FDTD method, the electromagnetic wave is analyzed by solving a Maxwell's equations repeatedly. For the calculation, distance between power source and head model increased by 10[m]. Power density and incident electric field intensity were calculated. Based on the incident electric field, the program which calaculated internal electric fields intensity and SAR calculation of the head model were developed. The results of developed program using FDTD were compared with those of a commericial programs, which showed the availability and usefulness of the suggested scheme in this paper.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2008년도 12th Asian Congress of Fluid Mechanics
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• pp.56.2-56.2
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• 2008

• 전기의세계
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• 제29권9호
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• pp.599-603
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• 1980

Mathematically, the Electromagnetic phenomena can be represented by the Maxwell's equations, but it is very difficult to solve these equations, especially, having complex structural boundaries. By the way, the development of a computer system made us easy to solve these kind of partial differential equations. The Finite Element Method, one of the numerical methods, is very this. This paper shows the power of F.E.M. by examining, with an example of a hollow cylinder in a uniform magnetic field which is analytically solvable, the errors and the tendency of magnetic flux lines.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2005년도 제24회 춘계학술대회논문집
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• pp.35-38
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• 2005

하이드라진을 추진제로 쓰는 아크젯 추력기 내의 열화학적 유동장을 전산유체를 이용해 해석하였다. Ohm가열 및 Lorentz힘을 고려하기 위하여 Maxwell 방정식과 연계된 RANS 방정식을 이용하였으며, 매우 빠른 반응 및 광학적으로 두꺼운 매질을 가정하여 하이드라진의 화학 반응과 열복사를 해석에 포함하였다. 아크젯 추력기 내부 유동의 열-물리적 이해와 더불어, 해석의 결과는 0.6 kW의 가열에 의하여 성능지표인 추력과 비추력이 각각 $20\%와 200\%$가 향상됨을 보여준다.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2005년도 제25회 추계학술대회논문집
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• pp.132-135
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• 2005

하이드라진을 추진제로 쓰는 아크젯 추력기 내의 열화학적 유동장을 전산유체를 이용해 해석하였다. Ohm가열 및 Lorentz힘을 고려하기 위하여 Maxwell 방정식과 연계된 RANS 방정식을 이용하였으며, 매우 빠른 반응 및 광학적으로 두꺼운 매질을 가정하여 이온화와 열복사를 해석에 포함하였다. 해석의 결과는 아크젯 추력기 내부 유동의 열-물리적 이해와 더불어 0.6 kW 가열에 의하여 하였을 때 추력과 비추력이 각각 20%와 70%가 향상됨을 보여주었다.