• Title/Summary/Keyword: Initial Condition

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EXTINCTION AND POSITIVITY OF SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS WITH GRADIENT SOURCE TERMS

  • Yi, Su-Cheol
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.4
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    • pp.397-409
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    • 2017
  • In this paper, we investigated the extinction, positivity, and decay estimates of the solutions to the initial-boundary value problem of the semilinear parabolic equation with nonlinear gradient source and interior absorption terms by using the integral norm estimate method. We found that the decay estimates depend on the choices of initial data, coefficients and domain, and the first eigenvalue of the Laplacean operator with homogeneous Dirichlet boundary condition plays an important role in the proofs of main results.

A Study on the T-branch Forming with 3-D Finite Element Method (3차원 유한요소법을 이용한 T형 가지관의 용접자리 성형 방법에 관한 연구)

  • 홍대훈;황두순;신동필;홍성인
    • Transactions of Materials Processing
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    • v.10 no.1
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    • pp.23-29
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    • 2001
  • In this study, the optimized initial hole shape for T-branch forming was proposed to obtain effective welding region. Design variables were determined by approximation analysis using volume constant condition. We performed 3D elastic-plastic FEM(Finite Element Method) analysis to simulate T-branch forming process. The variation of height and thickness of T-branch with various hole shapes was investigated. The optimized initial hole shape equation was obtained by using results for the numerical analysis.

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DISCRETE EVOLUTION EQUATIONS ON NETWORKS AND A UNIQUE IDENTIFIABILITY OF THEIR WEIGHTS

  • Chung, Soon-Yeong
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1133-1148
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    • 2016
  • In this paper, we first discuss a representation of solutions to the initial value problem and the initial-boundary value problem for discrete evolution equations $${\sum\limits^l_{n=0}}c_n{\partial}^n_tu(x,t)-{\rho}(x){\Delta}_{\omega}u(x,t)=H(x,t)$$, defined on networks, i.e. on weighted graphs. Secondly, we show that the weight of each link of networks can be uniquely identified by using their Dirichlet data and Neumann data on the boundary, under a monotonicity condition on their weights.

Prediction of Biodiesel Combustion, CO and NOX Emission Characteristics in Accordance with Equivalence Ratio (당량비 변화에 따른 바이오디젤 연소 및 CO, NOX 생성 특성 예측)

  • Lim, Young Chan;Suh, Hyun Kyu
    • Journal of the Korean Society of Combustion
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    • v.21 no.1
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    • pp.1-7
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    • 2016
  • This study was performed to provide the basic information of the combustion, CO and $NO_X$ characteristics of biodiesel in accordance with equivalence ratio. The closed homogeneous reactor model used for the analysis. The analysis conditions were set to 900 K of the initial temperature, 20 atm of initial pressure and equivalence ratio was changes from 0.6 to 1.4. The results of analysis were predicted and compared in terms of combustion temperature, combustion pressure, CO and $NO_X$ emissions. The results of combustion characteristics showed that ignition delay was decreased and the combustion temperature and combustion pressure was increased in accordance with equivalence ratio. CO emission was decreased in lean condition(${\Phi}$ < 1.0), however, CO emission was increased in rich condition(${\Phi}$ > 1.0) because oxygen supply insufficient. $NO_X$ emission showed the largest amount in condition 0.8 of equivalence ratio because the oxygen concentration was sufficient.

Root System Development of Rice in Different Soil Moisture Conditions in Uganda Field.

  • Hatanaka, Keisuke;Shin, Yabuta;Minoru, Yoshino;Miyamoto, Kisho;Jun-Ichi, Sakagami
    • Proceedings of the Korean Society of Crop Science Conference
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    • 2019.09a
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    • pp.21-21
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    • 2019
  • Approximately 80% of rice field in Africa conducts in rainfed (Nishimaki 2017). The rice is damaged by water stress because fields like rainfed lowland repeat drying and humidity of soil because of impossible water control. Then water stress is one of the major limiting factors for decreasing rice yield. So, in initial growth stage, quick and efficient root development is useful way to avoid drought stress by getting water from deeper soil layer with roots elongation as the hypothesis. Daniel et al (2016) reported that NERICA1 and NERICA4 show different patterns of root plasticity for drought stress. NERICA1 has greater development of lateral root in shallow soil layer, while NERICA4 has greater development in deep root elongation to underground. This study was aimed to evaluate the effect of root development in initial growth stage on growing NERICA1 and NERICA4 under different soil moisture condition in rainfed lowland rice field. They were grown in same water condition until 35 days after sowing (35DAS), and after that each varieties were separated in dry and wet condition. The rice plants were grown until 60DAS. The results of soil moisture, the root extension angle, shoot dry weight and bleeding ratio showed that NERICA4 can mitigate dry stress from surface soil compered to NERICA1.

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Analysis of Factors Influencing Obesity Treatment according to Initial Condition and Compliance with Medication (초기 조건과 복약 순응도에 따른 비만 치료 영향 인자 분석)

  • Han, Ji-Yeon;Park, Young-Jae
    • Journal of Korean Medicine for Obesity Research
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    • v.19 no.1
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    • pp.31-41
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    • 2019
  • Objectives: The purpose of this study was to investigate the effects of gender, age, body weight, muscle mass, fat mass, body mass index (BMI), metabolism, and compliance with medication on weight loss in obese adults. Methods: We reviewed the medical records of 178 patients who were visited to the Korean Oriental Clinic for 3~6 month and had obesity treatment using Gamitaeumjowee-tang from April 2017 to May 2017. We conducted a paired T-test, correlation coefficient and decision tree to analyze factors influencing obesity treatment. Results: The results of correlation analysis showed that initial weight (kg), initial fat mass (kg), BMI ($kg/m^2$), compliance with medication (%), Original Harris-Benedict Equation, Revised Harris-Benedict Equation and The Mifflin St Jeor Equation was significantly correlated to weight loss (kg) (P<0.001). As a result of constructing the decision tree model, it showed that over 5% weight loss of their initial weight (n=154) was related with initial BMI ($kg/m^2$), compliance with medication (%) and initial muscle mass (kg). In case of over 5 kg weight loss of their initial weight (n=131), it was related with initial BMI ($kg/m^2$), compliance with medication (%) and final BMI ($kg/m^2$). Conclusions: This study suggests that weight loss may be affected by initial factors and that initial factors can be used for obesity treatment.

Determining minimum analysis conditions of scale ratio change to evaluate modal damping ratio in long-span bridge

  • Oh, Seungtaek;Lee, Hoyeop;Yhim, Sung-Soon;Lee, Hak-Eun;Chun, Nakhyun
    • Smart Structures and Systems
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    • v.22 no.1
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    • pp.41-55
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    • 2018
  • Damping ratio and frequency have influence on dynamic serviceability or instability such as vortex-induced vibration and displacement amplification due to earthquake and critical flutter velocity, and it is thus important to make determination of damping ratio and frequency accurate. As bridges are getting longer, small scale model test considering similitude law must be conducted to evaluate damping ratio and frequency. Analysis conditions modified by similitude law are applied to experimental test considering different scale ratios. Generally, Nyquist frequency condition based on natural frequency modified by similitude law has been used to determine sampling rate for different scale ratios, and total time length has been determined by users arbitrarily or by considering similitude law with respect to time for different scale ratios. However, Nyquist frequency condition is not suitable for multimode system with noisy signals. In addition, there is no specified criteria for determination of total time length. Those analysis conditions severely affect accuracy of damping ratio. The focus of this study is made on the determination of minimum analysis conditions for different scale ratios. Influence of signal to noise ratio is studied according to the level of noise level. Free initial value problem is proposed to resolve the condition that is difficult to know original initial value for free vibration. Ambient and free vibration tests were used to analyze the dynamic properties of a system using data collected from tests with a two degree-of-freedom section model and performed on full bridge 3D models of cable stayed bridges. The free decay is estimated with the stochastic subspace identification method that uses displacement data to measure damping ratios under noisy conditions, and the iterative least squares method that adopts low pass filtering and fourth order central differencing. Reasonable results were yielded in numerical and experimental tests.

Mass Production and Accumulation Characteristics of Polyhydroxyalkanoates by Fed-batch culture of Alcaligenes eutrophus under Phosphate Limitation (인산염 제한하에서 Alcaligenes eutrophus의 유가식 배양에 의한 Polyhydroxyalkanoates의 대량 산과 축적특성)

  • 류희욱;조경숙;장용근
    • KSBB Journal
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    • v.13 no.2
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    • pp.187-194
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    • 1998
  • For mass production of polyhydroxyalkanoates (PHA), high cell density cultures of Alcaligenes eutrophus by fed-batch culture under phosphate-limitation condition has been investigated. PHA accumulation by the regulation by the regulation of initial phosphate concentration could be automatically induced, and high density cell culture above 200 g/L also could be successfully produced. The production of Poly-$\beta$-hydroxybutyrate (PHB) and dry cell weight increased with increasing the initial phosphate concentration. When the initial concentrations of phosphate were in the ranges of 1.5~4.5 g-PO$_4$/L, PHB and dry cell weight obtained were 83~266 g/L and 61~216 g/L, respectively, and PHB productivity was in the ranges of 1.35~3.10 g/L.h. When a mixture of glucose and propionic acid is used as carbon sources, poly(3-hydroxybutyrate-co-poly-3-hydroxyvalerate), P(3HB-co-3HV), could be also successfully produced under phosphate limitation condition. When the mole ratio of propionic acid to glucose in the feeding solution is 0.22, a final dry cell weight of 150 g/L and a P(3-HB-co-3HV) of 90 g/L were produced. Morphological changes and size distribution of PHB granules synthesized in A. eutrophus under phosphate-limitation condition are determined by TEM during the course of fed-batch. Mean granule diameters of PHB produced are in the range of 0.36~0.39 $\mu$m, and mean cell size was elongated from 0.54~0.59 $\mu$m$\times$ 1.3~1.5 $\mu$m to 0.83~0.89 $\mu$m $\times$2.0~2.3 $\mu$m. Phosphate concentration in media did not affect size distribution of PHB granule and cell.

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Study on the single bubble growth at saturated pool boiling (포화상태 풀비등시 단일기포의 성장에 관한 연구)

  • Kim, Jeong-Bae;Lee, Han-Choon;Oh, Byung-Do;Kim, Moo-Hwan
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1933-1938
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    • 2004
  • Nucleate boiling experiments with constant wall temperature of heating surface were performed using R113 for almost saturated pool boiling conditions. A microscale heater array and Wheatstone bridge circuits were used to maintain a constant wall temperature condition and to measure the heat flow rate with high temporal and spatial resolutions. Bubble images during the bubble growth were taken as 5000 frames a sec using a high-speed CCD camera synchronized with the heat flow rate measurements. The geometry of the bubble during growth time could be obtained from the captured bubble images. The bubble growth behavior was analyzed using the new dimensionless parameters for each growth regions to permit comparisons with previous results at the same scale. We found that the new dimensionless parameters can describe the whole growth region as initial and later respectively. The comparisons showed good agreement in the initial and thermal growth regions. The required heat flow rate for the volume change of the observed bubble was estimated to be larger than the instantaneous heat flow rate measured at the wall. Heat, which is different from the instantaneous heat supplied through the heating wall, can be estimated as being transferred through the interface between bubble and liquid even with saturated pool conditions. This phenomenon under a saturated pool condition needs to be analyzed and the data from this study can supply the good experimental data with the precise boundary condition (constant wall temperature).

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Closing Step Analysis in Cable-Stayed Bridges to Produce Initial Equilibrium Condition (초기평형상태 구현을 위한 사장교의 폐합단계 해석)

  • Park, Yong Myung;Yun, Jae Sun;Cho, Hyun Jun;Park, Chung Gon
    • Journal of Korean Society of Steel Construction
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    • v.19 no.2
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    • pp.191-199
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    • 2007
  • This paper presents a closing method for a cable-stayed bridge erected by the free cantilever method to produce the initial equilibrium configuration at the final construction stage. To realize the initial equilibrium condition in cable-stayed bridge by the cantilever method, compatibility conditions for vertical displacements, rotational angles, and axial displacements at the closing section of both side girders should be satisfied. In this paper, it was shown that it can be accomplished by using some applicable loads during construction such as the pull-up force of the derrick crane, some cable tension forces, and jacking force at the pylon. The proposed method was applied to a construction stage analysis of a sample bridge to demonstrate its validity, and it was acknowledged that the tower was considerably affected by the compatibility condition for axial displacement in the closing step.