• Title/Summary/Keyword: non-existence

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Test Evaluation of Pretreatment System Material for Bio-gas Micro Gas Turbine Power Generation (바이오가스 MGT 발전용 전처리시스템 재료특성 평가)

  • Hur, Kwang-Beom;Park, Jung-Keuk;Rhim, Sang-Gyu;Kim, Jae-Hoon
    • New & Renewable Energy
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    • v.4 no.1
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    • pp.37-43
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    • 2008
  • As the distributed generation becomes more reliable and economically feasible, it is expected that a higher application of the distributed generation units would be interconnected to the existing grids. This paper describes the results for the mechanical and environmental tests of pretreatment system material. Mechanical Characteristics make differences between parent / weldment, Notch existence / non-existence and air/$H_2O$ conditions. As a result, the life of pipe lines needs to maintain and fit for the operating period. Based on actual situations, the tension test of pipe welding-parts is carried out varying the exposure time of hydrogen sulfide and the fatigue resistance test is also performed inserting a notch into the pipe welding part, being exposed to the hydrogen sulfide environment for 720 hours.

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ON EXISTENCE OF WEAK SOLUTIONS OF NEUMANN PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING p-LAPLACIAN IN AN UNBOUNDED DOMAIN

  • Hang, Trinh Thi Minh;Toan, Hoang Quoc
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1169-1182
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    • 2011
  • In this paper we study the existence of non-trivial weak solutions of the Neumann problem for quasilinear elliptic equations in the form $$-div(h(x){\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)+b(x){\mid}u{\mid}^{p-2}u=f(x,\;u),\;p{\geq}2$$ in an unbounded domain ${\Omega}{\subset}\mathbb{R}^N$, $N{\geq}3$, with sufficiently smooth bounded boundary ${\partial}{\Omega}$, where $h(x){\in}L_{loc}^1(\overline{\Omega})$, $\overline{\Omega}={\Omega}{\cup}{\partial}{\Omega}$, $h(x){\geq}1$ for all $x{\in}{\Omega}$. The proof of main results rely essentially on the arguments of variational method.

The Initial Magnetic Field Decay of the Superconducting Magnet in the Persistent Current Mode (초전도자석의 영구전류모드 운전시 초기자장감쇠)

  • 배준환;심기덕;권영길
    • Progress in Superconductivity and Cryogenics
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    • v.2 no.1
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    • pp.31-34
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    • 2000
  • this paper deals with the initial magnetic field decay for a large scale superconducting magnet e.g. NMR/MRI magnet. The high resolution image can not be obained during the periods of the initial field decay. It is known that all superconducting materials have the property of diamagnetism. This diamagnetism is usually explained with the concept of screening current. We assumed that the existence of the screening currebt. we assumed that the existence of the screening current makes the current distribution in the superconducting wire non-uniform. And the initial magnetic field decay is caused steady current state in the view of its pattern. The initial magnetic field decay is caused by the change of the current distribution between the energizing state and persistent current mode. in this paper the theoretical analysis for the current distributions has been introduced for each state. The experiments have been carried out to verify transport currents in order to veperiments, it small at the higher transport current.

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Automatic Generation of Orthogonal Arrays and Its Application to a Two-Step Structural Optimization (실험에 적합한 직교 배열표의 자동 생성 및 2 단계 구조 최적화에의 적용)

  • 이수범;곽병만
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.12
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    • pp.2047-2054
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    • 2003
  • In this paper, an approach of automatically finding and modifying the most appropriate orthogonal array (GO) is suggested and applied to a new structural optimization procedure with two steps. GO is motivated by the situation where finding a proper orthogonal array from the tables in the literature is difficult or impossible. Now the Taguchi method is made available for various numbers of variables and levels. In the two-step structural optimization, the Taguchi method equipped with GO and a shape optimization using the finite differencing method is consecutively applied. The existence or non-existence of an element can be taken as a factor level and this feature is utilized finding the best topology from a set of potential topologies suggested from the user's expertise. This greatly enhances applicability and one can expect a better result than the case in which each step is applied independently because these steps are complementary each other.

A Study on the Sloshing Characteristics on the Tank Containing the Fluid (유체저장 탱크의 슬로싱 특성 연구)

  • 홍성진;이영신;최명환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.886-891
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    • 2001
  • This paper present the results of finite element analysis to examine the sloshing characteristics of the cylindrical and rectangular tank partially fluid-filled. The sloshing characteristic for the existence and the non-existence of the baffle are investigated and the results compared with the references. For the rectangular tank, the vertical displacements are used to study of the sloshing characteristics. But for the cylindrical tank, the damping factors obtained from the vertical displacements of free surface with the depth of ring baffle are usedto study of the sloshing characteristics. The adaptive meshing method in the ABAQUS 5.8/Explicit is used for the sloshing analysis.

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Non-linear Vibration of Gear Pair System with transmission error and Backlash (전달오차와 백래쉬를 고려한 기어구동계의 비선형 진동)

  • 조윤수;최연선
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.73-78
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    • 2001
  • Main sources of the vibration of a gear-pair system are backlash and transmission error. This paper investigates the dynamics of a gear-pair system involving backlash and transmission error. This paper presented 4 types of gear motions due to the existence of a backlash. The solutions are calculated using a multiple-time scale method and numerically. The results shows the existence of 4 type motions, jump phenomenon, and chaotic motion consequently the design of gear driving system with low vibration and noise requires the study on the effects of transmission error and backlash, i.e. nonlinearities in gear driving system.

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NONLINEAR IMPULSIVE SYSTEM OF MICROBIAL PRODUCTION IN FED-BATCH CULTURE AND ITS OPTIMAL CONTROL

  • GAO CAIXIA;LANG YANHUAI;FENG ENMIN;XIU ZHILONG
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.203-214
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    • 2005
  • In this study the optimal control of fed-batch glycerol fermentation is investigated based on an impulsive dynamical system. Considering the sudden increase of the glycerol and alkali in fed-batch culture of biodissimilation of glycerol to 1,3-propanediol, this paper proposes a non-linear impulsive system of fed-batch culture. The existence, uniqueness and regularity properties of piecewise solution for the system are proved. In view of the controllability of volumes of glycerol added to the reactor instantaneously, the paper constructs an optimal control model based on the nonlinear impulsive system and the existence of the optimal control is obtained. The control variables here are the moments and the sizes of jumps in the states at the discrete instants and the objective is to maximize the productivity of 1,3-propanediol over one cycle.

POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

  • LIU YUJI;XIA JIANYE;GE WEIGAO
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.261-280
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    • 2005
  • We study the existence and nonexistence of positive periodic solutions of a non-autonomous functional differential equation with impulses. The equations we study may be of delay, advance or mixed type functional differential equations and the impulses may cause the existence of positive periodic solutions. The methods employed are fixed-point index theorem, Leray-Schauder degree, and upper and lower solutions. The results obtained are new, and some examples are given to illustrate our main results.

On the Suitability of Centered and Upwind-Biased Compact Difference Schemes for Large Eddy Simulations (III) - Dynamic Error Analysis - (LES에서 중심 및 상류 컴팩트 차분기법의 적합성에 관하여 (III) -동적 오차 해석 -)

  • Park, No-Ma;Yoo, Jung-Yul;Choi, Hae-Cheon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.7
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    • pp.995-1006
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    • 2003
  • The suitability of high-order accurate, centered and upwind-biased compact difference schemes for large eddy simulation is evaluated by a dynamic analysis. Large eddy simulation of isotropic turbulence is performed with various dissipative and non-dissipative schemes to investigate the effect of numerical dissipation on the resolved solutions. It is shown by the present dynamic analysis that upwind schemes reduce the aliasing error and increase the finite differencing error. The existence of optimal upwind scheme that minimizes total numerical error is verified. It is also shown that the finite differencing error from numerical dissipation is the leading source of numerical errors by upwind schemes. Simulations of a turbulent channel flow are conducted to show the existence of the optimal upwind scheme.

CANCELLATION OF LOCAL SPHERES WITH RESPECT TO WEDGE AND CARTESIAN PRODUCT

  • Hans Scheerer;Lee, Hee-Jin
    • Journal of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.15-23
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    • 1996
  • Let C be a category of (pointed) spaces. For $X, Y \in C$ we denote the wedge (or one point union) by $X \vee Y$ and the cartesian product by $X \times Y$. Let $Z \in C$; we say that Z cancels with respect to wedge (resp. cartesian product) and C, if for all $X, Y \in C$ the existence of a homotopy equivalence $X \vee Z \to Y \vee Z$ implies the existence of a homotopy equivalence $X \to Y$ (resp. for cartesian product). If this does not hold, we say that there is a non-cancellation phenomenon involving Z (and C).

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