• 대한수학회지
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• 제56권5호
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• pp.1159-1172
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• 2019

A semigroup S is called a weakly abundant semigroup if its every $\tilde{\mathcal{L}}$-class and every $\tilde{\mathcal{R}}$-class contains an idempotent. Our purpose is to study an analogue of orthodox semigroups in the class of weakly abundant semigroups. Such an analogue is called a left quasi-abundant semigroup, which is a weakly abundant semigroup with a left quasi-normal band of idempotents and having the congruence condition (C). To build our main structure theorem for left quasi-abundant semigroups, we first give a sufficient and necessary condition of the idempotent set E(S) of a weakly abundant semigroup S being a left quasi-normal band. And then we construct a left quasi-abundant semigroup in terms of weak spined products. Such a result is a generalisation of that of Guo and Shum for left semi-perfect abundant semigroups. In addition, we consider a type Q semigroup which is a left quasi-abundant semigroup having the PC condition.

• 한국강구조학회 논문집
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• 제23권3호
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• pp.295-304
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• 2011

국내외적으로 강구조 약축접합부의 접합방법으로는 브라켓타입이 주로 사용되고 있다. 브라켓타입의 약축접합부는 기둥-보접합부를 공장에서 제작한 후, 현장에 운반하여 시공하므로 보이음부가 추가된다. 따라서 보이음부의 설치비용 및 공사기간이 증가되므로 강구조물의 경쟁력이 저하된다. 본 연구에서는 기존의 표준약축접합부를 개선하여 힘의 흐름이 명확하고, 접합상세가 간결하며, 시공성을 향상시킨 신형상 약축접합부를 제안하였다. 실험결과를 통하여 신형상 약축접합부는 기존의 표준약축접합부보다 최대내력이 크게 나타났으며, 또한 연성적으로 거동하는 것으로 나타났다. 여기서 기존의 표준약축접합부는 스칼럽 또는 보이음용접부에서 응력집중으로 인하여 파괴되는 반면에, 신형상 약축접합부는 응력이 집중되는 스칼럽 및 보이음용접부가 없으며, 또한 H형강기둥과 보를 결합하기 위한 용접플레이트의 두께를 자유롭게 조절할 수 있으므로 이러한 차이가 기둥-보접합부의 최대내력 증가 및 연성적 거동에 기여하는 것으로 판단된다.

• Bulletin of the Korean Chemical Society
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• 제31권5호
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• pp.1326-1330
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• 2010

Evidences have proved the versatile role of sulfur atom in supramolecular chemistry. $^1$Presence of S atom in the molecule usually results in the specific structural properties of molecules. In the present study, $S{\cdots}arene$, $N{\cdots}arene$, $CH{\cdots}{\pi}$, $CH{\cdots}S$ and $CH{\cdots}N$ type of weak interactions stabilize the conformation and self assembly of symmetrical as well as dissymmetrical molecules.

• 에너지공학
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• 제10권4호
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• pp.357-362
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• 2001

충진농도, 냉매 팽창밸브 개도, 그리고 약용액의 유량 변화에 따른 벤치타입 암모니아-물 흡수식 열교환 사이클에 대한 실험을 수행한 결과 시스템의 충진농도가 증가할수록 냉방능력이 증가하였으며, 최적의 충진농도가 존재함을 알았다. 그리고 냉매 팽창 밸브의 개도는 응축기 출구의 직접적인 영향을 주고 있으며 최적의 과냉도가 0~4$^{\circ}C$임을 알았다. 또한 약용액의 유량이 증가시킬수록 증발압력과 강용액의 농도가 즐어들었으며, 냉방능력과 COP가 최대가 되는 최적의 약용액 유량이 존재하였다.

• 대한수학회지
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• 제51권3호
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• pp.635-654
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• 2014

We consider the Cauchy problem for a Keller-Segel-fluid model with degenerate diffusion for cell density, which is mathematically formulated as a porus medium type of Keller-Segel equations coupled to viscous incompressible fluid equations. We establish the global-in-time existence of weak solutions and bounded weak solutions depending on some conditions of parameters such as chemotactic sensitivity and consumption rate of oxygen for certain range of diffusive exponents of cell density in two and three dimensions.

• 대한수학회보
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• 제47권1호
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• pp.29-37
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• 2010

We establish the existence of weak solutions in an infinite subsonic channel in the self-similar plane to the two-dimensional Burgers system. We consider a boundary value problem in a fixed domain such that a part of the domain is degenerate, and the system becomes a second order elliptic equation in the channel. The problem is motivated by the study of the weak shock reflection problem and 2-D Riemann problems. The two-dimensional Burgers system is obtained through an asymptotic reduction of the 2-D full Euler equations to study weak shock reflection by a ramp.

• 한국마린엔지니어링학회:학술대회논문집
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• 한국마린엔지니어링학회 2001년도 춘계학술대회 논문집
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• pp.95-99
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• 2001

As a way to use energy effectively, the present study is aimed at investigating the performance characteristics of a Single Effect LiBr/Water Absorption Refrigerator using a low temperature driving heat-source. It was carried out by changing the driving heat-source temperature, the cold water outlet temperature(the refrigeration load), the cooling water inlet temperature, and the weak solution flow rate and this study compares the performance characteristics of refrigerator against the existence and non-existence of the Recirculation of the Weak solution which is used as a method to improve the performance of refrigerator. In case of Recirculation of the weak solution, more improved the Refrigeration Capacity and COP was obtained, and these effects became more larger in the high temperature of driving heat-source and large quantity of solution.

• 대한수학회지
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• 제56권6호
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• pp.1529-1560
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• 2019

We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

• Nonlinear Functional Analysis and Applications
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• 제26권1호
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• pp.13-33
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• 2021

The aim of this paper is to establish common fixed point theorems under generalized (ψ - ϕ)-weak contractions in the setting of complete S-metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.

• 대한수학회보
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• 제47권3호
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• pp.467-482
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• 2010

For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.