• 제목/요약/키워드: Equilibrium State

검색결과 856건 처리시간 0.023초

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

  • Song, Yongli;Zhang, Tonghua
    • 대한수학회보
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    • 제54권2호
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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.

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

  • 천희영;박귀태
    • 전기의세계
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    • 제26권6호
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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.
    • 천문학회지
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    • 제15권1호
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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

  • 성대동;임귀택;김민식;박동규
    • Bulletin of the Korean Chemical Society
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    • 제16권1호
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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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    • 제12권2호
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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.

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

  • 장위옌리앙;이의동;정길도
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
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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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    • 제23권12호
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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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    • 제11권3호
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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

  • 김수선
    • 과학과기술
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    • 제8권12호통권79호
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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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EQC 모델을 이용한 벤조일 퍼록사이드의 다매체 환경거동 예측 (Estimation of Multimedia Environmental Distribution for Benzoyl peroxide Using EQC Model)

  • 김미경;배희경;송상환;구현주;김현미;최광수;전성환;이문순
    • 대한환경공학회지
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    • 제27권10호
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    • pp.1090-1098
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    • 2005
  • 벤조일 퍼록사이드는 수서생물에 대해 매우 높은 독성을 나타냄에도 불구하고 환경 중 잔류 농도 및 노출영향에 대해 연구가 이루어지지 않아 OECD에서 추천하고 있는 대표적인 다매체 환경거동 모델인 EQC 모델을 이용하여 본 물질에 대한 환경중의 농도를 예측하고 위해성평가 및 화학물질의 관리를 수행하기 위한 기초자료로 활용코자 하였다. 평형, 정상상태에서 100,000 kg의 벤조일 퍼록사이드가 환경내로 유입된 상태를 나타내는 Level I과 평형, 정상상태 이류와 분해현상이 있고 일정한 속도 1,000 kg/h로 유입되었을 경우를 나타내는 Level II에서 벤조일 퍼록사이드는 주로 토양(68.3%)과 물(28.7%)로 배출되는 것으로 예측되었다. 비평형, 정상상태, 이류와 분해현상이 있고 다매체 이동을 하는 시스템에서 벤조일 퍼록사이드가 대기, 물, 토양, 침전물의 각각의 4개 매체에 연속적으로 1,000 kg/h로 유입될 경우인 Level III에서는 주로 토양(99.9%)으로 배출되었고 전체 잔류시간은 3.4년으로 예측되어 벤조일 퍼록사이드가 환경 중에 잔류성이 있는 물질로 평가되었다.