• 대한수학회지
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• 제40권5호
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• pp.883-899
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• 2003

In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to Idzik [5] and Kim-Tan [6] , we shall prove the existence theorems of generalized weight Nash equilibria under general hypotheses. And as applications of generalized weight Nash equilibria, we shall prove the existence of generalized Pareto equilibria in non-compact generalized multiobjective game.

• 산업기술연구
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• 제11권
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• pp.3-16
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• 1991

The lattice-fluid theory are adopted for modeling the phese equilibria in supercritical fluids, In order to investigate effects of the nonrandom distribution of holes in mixtures on the phase equilibria, the equation of state and the chemical potential of the binary miture are formulated with taking into account nonrandomness of holes distributions in the fluid mixture. The relations of phase equilibria formulated in this work are tested through predictions of solubility of heavy solids in supercritical fluids and predictions of high pressure phase equilibria of binary mixtures. Results obtained exhibit that the lattice fluid model with assumptions of nonrandomness of hole distributions is successful in quantatively mideling the phase equilibria of mixtures of molecules of dissimilar sizes, specifically solids-supercritical fluid mixtures.

• 대한수학회보
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• 제37권2호
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• pp.377-385
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• 2000

In this paper we find a sufficient condition to guarantee the existence of pure-strategy equilibria in matrix games. In the process of formulating our condition, the alternative theorem of Farkas is used. The formulated condition is necessary and sufficient to the existence of pure-strategy equilibria in undominated matrix games.

• 산업기술연구
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• 제18권
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• pp.267-275
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• 1998

Continuous thermodynamics has been applied for modeling of phase equilibria in multicomponent mixtures, to avoid disadvantages of the pseudo-component and key-component method. In this paper continuous thermodynamic relations formulated by using the Pate-Teja equation of state were adopted for calculations of phase equilibria in natural gas mixtures, crude oil mixtures and mixtures extracted by supercritical $CO_2$ fluids. Calculations of phase equilibria were performed by two procedures ; a moment method coupled with the beta distribution function and a quadrature method combined with Gaussian-Legendre polynomials. Calculated results were compared with experimental data. It was showed that continuous thermodynamic frameworks considered in this paper were well-matched to experimental data.

• 자원리싸이클링
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• 제13권2호
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• pp.24-32
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• 2004

염산용액에서 PC88A에 의한 Gd추출반응의 평형을 해석하기 위해 화학반응, 상평형, 물질수지 및 전기적중성식을 고려하였다. 본 연구의 실험조건에서 PC88A에 의한 Gd의 추출반응에 대해 다음의 반응식과 평형상수를 얻었다. $Gd^{3+}$ $+2H_2$$A_2$,$or=GdA_3$HA.or+3$ H^{+/}$ , K=3.3 Gd의 초기농도와 pH로부터 염소의 초기농도를 구하는 방법을 제시했고, Gd과 염산농도에 따른 Gd 착물의 농도분포를 구했다. 본 연구에서 구한 Gd 추출반응의 평형상수와 이온평형을 초기 추출조건에 적용하여 예측한 Gd의 분배계수와 측정값은 서로 잘 일치하였다.

• 대한산업공학회지
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• 제20권1호
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• pp.113-120
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• 1994

A duopoly model is developed in order to examine the effect of imperfect competition on the price-setting behavior of competing providers in a congested market. Multiple Nash price equilibria are found and the implications of such multiple price equilibria are discussed.

• 자원ㆍ환경경제연구
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• 제18권2호
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• pp.311-344
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• 2009

본 연구는 각각의 세분화된 부동산 시장에서 주택의 특성들이 시장 균형점을 찾을 수 있는지에 대한 가정을 실증 분석하였다. 주택의 건축 특성 등과 같이 공급 탄력적인 변수들은 주택의 주변 환경 등과 같은 공급 비탄력적인 변수에 비하여 시장 균형점에 더 가까운 것으로 나타났다. 또한, 주택 거주자의 평균 거주 기간으로 측정한 거주자의 이동 가능성이 높은 부동산 시장에서 공급 탄력적인 변수들이 공급 비탄력적인 변수들에 비해 시장 균형점에 더 가까운 결과를 보였다. 따라서 주택 시장에서 공급 탄력성과 거주자의 이동 가능성이 시장 균형점에 필요한 조건으로 파악되었다.

• 한국수소및신에너지학회논문집
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• 제23권6호
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• pp.660-669
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• 2012

Gas resources captured in the form of gas hydrates are an order of magnitude larger than the resources available from conventional resources. Focus of this research is to investigate the effect of DME on phase equilibria of methane hydrate, as well as the possibility of the use of the PRO/II computer simulation to estimate the phase equilibria. In systems containing water and a gaseous component like, for instance, methane, ethane, and propane, gas hydrates may occur, if conditions in terms of pressure and temperature are satisfied. Mixtures of gases, e.g. LPG or natural gas, are also able to form gas hydrates in the presence of water. The experiments presented here were performed at temperatures varying between 268.15K and 288.15K and at pressures varying between 1.88 MPa and 10.56 MPa. It was found that the phase equilibria of methane hydrate is influenced by the addition of DME to the system. The pressure for the equilibrium hydrate-liquid water-vapor (H - $L_w$ - V) in the system water + methane is reduced upon addition of DME. The phase equilibria of methane hydrate can be estimated by the PRO/II computer simulation, whereas those of methane hydrate containing DME or LPG can't be estimated properly.

• 한국초전도ㆍ저온공학회논문지
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• 제14권4호
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• pp.28-31
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• 2012

We report the solid-liquid phase equilibria on the $GdBa_2Cu_3O_{7-{\delta}}$ (GdBCO) stability phase diagram in low oxygen pressures ($PO_2$) ranging from 1 to 100 mTorr. On the basis of the GdBCO stability phase diagram experimentally determined in low oxygen pressures, the isothermal sections of three different phase fields on log $PO_2$ vs. 1/T diagram were schematically constructed within the $Gd_2O_3-Ba_2CuO_y-Cu_2O$ ternary system, and the solid-liquid phase equilibria in each phase field were described. The invariant points on the phase boundaries include the following three reactions; a pseudobinary peritectic reaction of $GdBCO{\leftrightarrow}Gd_2O_3$ + liquid ($L_1$), a ternary peritectic reaction of $GdBCO{\leftrightarrow}Gd_2O_3+GdBa_6Cu_3O_y$ + liquid ($L_2$), and a monotectic reaction of $L_1{\leftrightarrow}GdBa_6Cu_3O_y+L_2$. A conspicuous feature of the solid-liquid phase equilibria in low $PO_2$ regime (1 - 100 mTorr) is that the GdBCO phase is decomposed into $Gd_2O_3+L_1$ or $Gd_2O_3+GdBa_6Cu_3O_y+L_2$ rather than $Gd_2BaCuO_5+L$ well-known in high $PO_2$ like air.

• 천문학회지
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• 제46권6호
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• pp.261-268
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• 2013

Magnetohydrostatic equilibria, in which the Lorentz force, the plasma pressure force and the gravitational force balance out to zero, are widely adopted as the zeroth order states of many astrophysical plasma structures. A magnetic flux-current surface is a surface, in which both magnetic field lines and current lines lie. We for the first time derive the necessary and sufficient condition for existence of magnetic flux-current surfaces in magnetohydrostatic equilibria. It is also shown that the existence of flux-current surfaces is a necessary (but not sufficient) condition for the ratio of gravity-aligned components of current density and magnetic field to be constant along each field line. However, its necessary and sufficient condition is found to be very restrictive. This finding gives a significant constraint in modeling solar coronal magnetic fields as force-free fields using photospheric magnetic field observations.