• 대한수학회지
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• 제48권6호
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• pp.1327-1328
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• 2011

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권4호
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• pp.231-253
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• 2007

The purpose of this paper is to study the geometry of null curves in a semi-Riemannian manifold (M, g) of index 2. We show that it is possible to construct new Frenet equations of two types of null curves in M.

• 대한수학회논문집
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• 제32권4호
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• pp.1033-1045
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• 2017

The conharmonic curvature tensor under certain conditions has been studied for Kenmotsu manifolds with respect to the semi-symmetric metric connection.

• 대한수학회논문집
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• 제13권4호
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• pp.839-845
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• 1998

For an oriented compact, connected Seifert fibred 3-manifold M with nonempty boundary, we construct a simplicial complex using the equivalence classes of marked annulus systems and show that it is contractible.

• 대한수학회보
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• 제56권4호
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• pp.841-852
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• 2019

We establish the generalized Myers theorem for Finsler manifolds under integral Ricci curvature bound. More precisely, we show that the forward complete Finsler n-manifold whose part of Ricci curvature less than a positive constant is small in $L^p$-norm (for p > n/2) have bounded diameter and finite fundamental group.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.741-751
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• 2022

The object of the present paper is to study some geometric properties of invariant submanifolds of N(k)-contact metric manifold admitting generalized Tanaka-Webster connection.

• 대한수학회논문집
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• 제38권4호
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• pp.1261-1269
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• 2023

For a fixed parametrization of a curve in an orientable two-dimensional Riemannian manifold, we introduce and investigate a new frame and curvature function. Due to the way of defining this new frame as being the time-dependent rotation in the tangent plane of the standard Frenet frame, both these new tools are called flow.

• Nonlinear Functional Analysis and Applications
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• 제28권4호
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• pp.1005-1015
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• 2023

In this paper, we establish the existence of at least two distinct solutions to a p-Laplacian problems involving critical exponents and singular cylindrical potential, by using the Nehari manifold.

• 한국해안해양공학회지
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• 제6권4호
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• pp.327-334
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• 1994

실험실 수조에서 조석 및 조류를 발생시키기 위해서는 수조내에 흐름의 분출부와 흡입부를 적절히 설치해야 한다. 분기관은 관수로 측면에 설치된 다수의 구멍을 통하여 관내ㆍ외 압력차에 의해 물을 분출 또는 흡입하는 장치이다. 수조 폭에 따라 균등한 단위폭당 유량을 발생시키기 위해서는 각 구멍의 크기를 적절히 결정해야 하며 이를 위해서는 공급류량, 공급수두, 수두손실, 구멍에서의 분출 및 흡입류량 등의 수리특성을 파악하여야 한다. 본 연구에서는 에너지 방정식과 연속방정식으로부터 비롯되는 비선형 연립방정식을 구성하고 Newton 해법을 적용하여 분출 및 흡입분기관의 수리특성을 파악하였다. 아울러, 자동제어 밸브가 부착된 분기관이 수조폭에 걸쳐 일정한 유량을 유지해야하는 조석수조에 효과적으로 사용될 수 있음을 확인하였다.

• 한국자동차공학회논문집
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• 제16권4호
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• pp.56-62
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• 2008

A synthetic gas reformed from hydrocarbon-based fuels consists of $H_2$, CO and $N_2$. Hydrogen contained in the synthetic gas is a very useful species in chemical processes, due to its wide flammability range and fast burning speed. The ESGI (Exhaust Synthetic Gas Injection) technology is developed to shorten the light-off time of three way catalysts through combustion of the synthetic gas in the exhaust manifold during the cold start period of SI engines. Before the ESGI technology is applied to the test engine, the authors set a test rig that consists of gas temperature and composition controllers, an exhaust pulse generator and an exhaust manifold with a visualization window, in order to optimize the point and conditions of injection of the synthetic gas. Through measuring burned gas temperatures and taking photographs of synthetic gas combustion at the outlet of the exhaust manifold, the authors tried to find the optimal injection point and conditions. Analysis of burned gas composition has been performed for various $O_2$ concentrations. As a result, when the synthetic gas is injected at the port outlet of the cylinder No. 4 and $O_2$ concentration exceeds 4%, combustion of the synthetic gas is strong and effective in the exhaust manifold.