• Title/Summary/Keyword: equilibrium state

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GLOBAL STABILITY OF THE POSITIVE EQUILIBRIUM OF A MATHEMATICAL MODEL FOR UNSTIRRED MEMBRANE REACTORS

  • Song, Yongli;Zhang, Tonghua
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.383-389
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    • 2017
  • This paper devotes to the study of a diffusive model for unstirred membrane reactors with maintenance energy subject to a homogeneous Neumann boundary condition. It shows that the unique constant steady state is globally asymptotically stable when it exists. This result further implies the non-existence of the non-uniform steady state solution.

Optimal Control of Nuclear Reactors by Digital Computer (전자계산기에 의한 원자로최적제어)

  • 천희영;박귀태
    • 전기의세계
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    • v.26 no.6
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    • pp.66-71
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    • 1977
  • In this paper a method is presented for the optimal control of a nuclear reactor at equilibrium state by use of a digital computer. Using the optimal control theory, we formulate the control problem of the reactor as a discrete-time linear regulator problem. A quadratic performance index is defined. The effects of choosing different performance index weighting matrices to the feedback gain matrix and reactor transient responses are studied for the deterministic optimal control with all state variables accessible to measurement.

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THE PRESENCE OF $C_2$ LINES IN SUNSPOTS

  • Yun, Hong-Sik;Beebe, H.A.;Baggett, W.E.
    • Journal of The Korean Astronomical Society
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    • v.15 no.1
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    • pp.37-39
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    • 1982
  • High spatial and spectral resolution observations have been made over a sunspot (SPO 6403) with the Echelle Spectrograph at the Vacuum Tower Telescope, Sacramento Peak Observatory. Our observed spectra, scanned with SPO's fast microdensitometer, clearly show strengthening of $C_2$ lines in the penumbra relative to the photosphere and much weakening in the umbra in agreement with the predictions made by our molecular equilibrium calculations (Lee et al. 1981).

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Photodecomposition Mechanism of 2-Methoxy-1,2-diphenyl Diazoethane

  • Seong, Dae Dong;Im, Gwi Taek;Kim, Min Sik;Park, Dong Gyu
    • Bulletin of the Korean Chemical Society
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    • v.16 no.1
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    • pp.47-52
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    • 1995
  • The mechanism of the photodecomposition of 2-methoxy-1,2-diphenyl diazoethane has been investigated in methanol and isoprene using time-resolved laser flash photolysis techniques. The reaction of triplet carbene which is generated from 2-methoxy-1,2-diphenyl diazoethane with methanol is believed to proceed via thermal excitation to the singlet state. The activation energy and enthalpy are consistent with a mechanism involving thermal equilibrium between the triplet and singlet state followed by the reaction of the singlet with methanol to give ether.

Ab initio Electronic Structure Calculations of $O_2$ Using Coupled Cluster Approaches and Many-Body Perturbation Theory

  • Yoon Sup Lee;Sang Yeon Lee
    • Bulletin of the Korean Chemical Society
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    • v.12 no.2
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    • pp.211-213
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    • 1991
  • The ground state of the oxygen molecule is calculated by various methods of coupled cluster approaches and many body perturbation theory using a double zeta plus polarization basis set and the UHF reference state. All the methods employed are capable of describing the oxygen molecule near the equilibrium bond length and the separated atom, but do not correctly depict the breaking of the multiple bond. For this basis set, including more correlations does not necessarily improve the agreement with experiment for molecular properties such as bond lengths and dissociation energies.

Time-Discretization of Nonlinear control systems with State-delay via Taylor-Lie Series (Taylor-Lei Series에 의한 지연이 있는 비선형 시스템의 시간 이산화)

  • Zhang, Yuanliang;Lee, Yi-Dong;Chong, Kil-To
    • Proceedings of the KIEE Conference
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    • 2005.05a
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    • pp.125-127
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    • 2005
  • In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sample-data representation of a nonlinear system with constant state tine-delay. The mathematical expressions of the discretization scheme are presented and the effect of the time-discretization method on key properties of nonlinear control system with state tine-delay, such as equilibrium properties and asymptotic ability, is examined. The proposed scheme provides a finite-dimensional representation for nonlinear systems with state time-delay enabling existing controller design techniques to be applied to then. The performance of the proposed discretization procedure is evaluated using a nonlinear system. For this nonlinear system, various sampling rates and time-delay values are considered.

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Solid-state Chracterization of the HIV Protease Inhibitor

  • Kim, Yong-Ae;Kim, Ae-Ri
    • Bulletin of the Korean Chemical Society
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    • v.23 no.12
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    • pp.1729-1732
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    • 2002
  • The LB71350,(3S, 4R)-Epoxy-(5S)-[[N-(1-methylethoxy)carbonyl]-3-(methylsulfonyl)-L-valinyl]amino]-N-[2-methyl-(1R)-[(phenyl)carbonylpropyl-6-phenylhexanamide, is a novel HIV protease inhibitor. Its equilibrium solubility at room temperature was less than $40{\mu}g/mL.$ It was speculated that the low aqueous solubility might be due to the high crystalline lattice energy resulting from intermolecular hydrogen bonds. The present study was carried out to learn the solid-state characteristics of LB71350 using analytical methods such as NMR, FT-IR and XRD. $^{13}C$ Solid-state NMR, solution NMR, and FT-IR spectra of the various solid forms of LB71350 were used to identify the conformation and structure of the solid forms. The chemical shifts of $^{13}C$ solid-state NMR spectra suggest that the crystalline form might have 3 intermolecular hydrogen bondings between monomers.

The Service State Behavior of Reinforced Concrete Membrane Elements using Rotating Crack Model

  • Bhang, Jee-Hwan;Kang, Won-Ho
    • KCI Concrete Journal
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    • v.11 no.3
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    • pp.53-64
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    • 1999
  • A theory is proposed to predict the response of the load-deformation relationship of the reinforced concrete structures under the service state after cracking. The crack direction and concrete strains through the loading history before failure can be estimated by this theory based on the rotating crack model, which considers equilibrium, compatibility conditions, and average stress-strain relationship. The proposed crack direction and deformation show good agreement with test results under service state. The behavior of a variety of concrete structures, such as shear walls, deep beams and the web of box girders, can be predicted by this proposed theory under service state.

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이원자기체군의 감쇠진동에 관한 연구

  • Kim, Su-Seon
    • The Science & Technology
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    • v.8 no.12 s.79
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    • pp.61-64
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    • 1975
  • An expression for the vibrational frequency of diatomic molecular is obtained by using molecular gas temperature T and molecular gas mean-free path λ. And when λ/T →2.59, beca use of the damped vibration, a diatomic molecular gas is Impeded about transportation. If transfortation is not attained with this condition, rectilinear motion of a diatomic molecular gas can't maintain for the equilibrium state.

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Estimation of Multimedia Environmental Distribution for Benzoyl peroxide Using EQC Model (EQC 모델을 이용한 벤조일 퍼록사이드의 다매체 환경거동 예측)

  • Kim, Mi-Kyoung;Bae, Hee-Kyung;Song, Sang-Hwan;Koo, Hyun-Ju;Kim, Hyun-Mi;Choi, Kwang-Soo;Jeon, Sung-Hwan;Lee, Moon-Soon
    • Journal of Korean Society of Environmental Engineers
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    • v.27 no.10
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    • pp.1090-1098
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    • 2005
  • Benzoyl peroxide is very toxic to aquatic organisms but environmental concentration or exposure effects were not studied. Distribution of the chemical among multimedia environment was estimated using EQC(Equilibrium Criterion) model based on the physical-chemical properties to evaluate the risk of benzoyl peroxide in environment. Level I describes a situation that 100,000 kg of benzoyl peroxide is emitted into the environment which is equilibrium and steady-state without degradation and advection condition. Level II describes a situation that a constant rate of 1,000kg/h of benzoyl peroxide is continuously discharged into the environment which is equilibrium and steady-state with degradation and advection condition. Level III describes a situation that 1,000 kg/h of benzoyl peroxide is continuously introduced in each air, water, soil, and sediment compartment which are non-equilibrium and steady-state with degradation, advection, and inter-media transfer condition. In Level I and II calculations the chemical was distributed to soil(68.3%) and water(28.7%). In Level III calculation it was primarily distributed to soil(99.9%) and overall residence time was estimated to be 3.4 years. Benzoyl peroxide can be persistent in environment.