• Title/Summary/Keyword: Local Solution

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NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

  • Pak, Hee Chul;Chang, Sang-Hoon
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.773-784
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    • 2010
  • The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: $$\frac{\partial}{{\partial}t}u-{\Delta}u=F(u)$$ is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear functions $F(u){\equiv}{\mid}u{\mid}e^{u^2}$ and $F(u){\equiv}e^u$ of rapid growth.

An Exploratory Study on the Interaction among Local Broadcast Stations based on Market Environment (시장 환경에 입각한 지역 지상파 방송사 조직의 상호작용 특성에 대한 탐사적 연구)

  • Kwon, Jang-Won
    • Korean journal of communication and information
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    • v.52
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    • pp.27-47
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    • 2010
  • This study analyzes the latest statistics for 3 years based on the traits of market environment, internal organization characteristics(the size and distribution of workforce), and financial structure, and then, investigates the interactivity traits and drawbacks between organization and market environment, among the local broadcast stations, and, among the type of work in the internal organization, by interviewing with broadcasters working at the local stations. Major findings of this studies are : at first, statistically, the conditions of local market environment, the size of local station workforce, financial structure are very poor. And, the interactivity among the local broadcast stations have so many difficulties because of a conflict of interest. So, for getting over a difficult situation at the local stations, in addition to planning to support local stations with various policies, government and local stations should seek for solution to overcome the conflict of interest jointly.

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A D2D communication architecture under full control using SDN

  • Ngo, Thanh-Hai;Kim, Younghan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.8
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    • pp.3435-3454
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    • 2016
  • Device-to-device (D2D) communication is a potential solution to the incessant increase in data traffic on cellular networks. The greatest problem is how to control the interference between D2D users and cellular mobile users, and between D2D users themselves. This paper proposes a solution for this issue by putting the full control privilege in cellular network using the software-defined networking (SDN) concept. A software virtual switch called Open vSwitch and several components are integrated into mobile devices for data forwarding and radio resource mapping, whereas the control functions are executed in the cellular network via a SDN controller. This allows the network to assign radio resources for D2D communication directly, thus reducing interference. This solution also brings out many benefits, including resource efficiency, energy saving, topology flexibility, etc. The advantages and disadvantages of this architecture are analyzed by both a mathematical method and a simple implementation. The result shows that implementation of this solution in the next generation of cellular networks is feasible.

Approximate Solution for Conjugate Heat Transfer of Laminar Film Condensation on a Flat Plate (평판의 층류 막응축에서 복합열전달에 대한 근사해)

  • Lee Euk-Soo
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.5
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    • pp.509-518
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    • 2005
  • Liquid film thickness in laminar film condensation for flow over a flat plate generally is so thin that both fluid acceleration and thermal convection within the liquid film can be neglected. An integral solution method is proposed to solve the conjugate problems of laminar film condensation and heat conduction in a solid wall. It is found that approximate solutions of the governing equations involve four physical parameters to describe the conjugate heat transfer problem for laminar film condensation. It is shown that the effects of interfacial shear. mass transfer and local heat transfer are strongly dependent on the thermo-physical properties of the working fluids and the Jacob number.

A study of Optimal Reconfiguration in Distribution Power System using Initial Operating Point (초기 운전점 선정을 통한 배전계통 최적 재구성에 관한 연구)

  • Seo, Gyu-Seok;Kim, Jung-Nyun;Baek, Young-Sik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.3
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    • pp.451-456
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    • 2007
  • This paper presents a problem that reconfigure distribution power system using branch exchange method. Optimal reconfiguration problem calculates line loss, voltage condition about system states of all situations that become different according to line On/off status, and search for optimum composition of these. However, result is difficult to be calculated fast. Because radiated operation condition of system is satisfied using many connection and sectionalize switches in the distribution power system. Therefore, in this paper, optimization method for reducing system total loss and satisfying operating condition of radial and constraints condition of voltage is proposed using the fastest branch exchange. And optimal solution at branch exchange algorithm can be wrong estimated to local optimal solution according to initial operating state. Considering this particular, an initial operating point algorithm is added and this paper showed that optimal solution arrives at global optimal solution.

THE GENERALIZED RIEMANN PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS I

  • Chen, Shouxin;Huang, Decheng;Han, Xiaosen
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.409-434
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    • 2009
  • In this paper, we consider a generalized Riemann problem of the first order hyperbolic conservation laws. For the case that excludes the centered wave, we prove that the generalized Riemann problem admits a unique piecewise smooth solution u = u(t, x), and this solution has a structure similar to the similarity solution u = $U{(\frac{x}{t})}$ of the correspondin Riemann problem in the neighborhood of the origin provided that the coefficients of the system and the initial conditions are sufficiently smooth.

The Effect of Pressure on Laminar Film Condensation along a Horizontal Plate (수평평판의 층류 막응축에서 압력의 영향)

  • Lee, Euk-Soo;Lee, Sung-Hong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.12
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    • pp.945-953
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    • 2008
  • Laminar film condensation of saturated vapor in forced flow over a flat plate is analysed. The problem is formulated as exact boundary-layer solution and integral approximate solution. From numerical solutions of the governing equations, it is found that the energy transfer by convection and the effect of inertia term in the momentum equation in negligibly small for low pressure but quite important for high pressure. The condensate rate, liquid-vapor interfacial shear stress and local heat transfer are strongly dependent on the reduced pressure $P_r$ and the modified Jacob number Ja/Pr.

MC21/CTF and VERA multiphysics solutions to VERA core physics benchmark progression problems 6 and 7

  • Kelly, Daniel J. III;Kelly, Ann E.;Aviles, Brian N.;Godfrey, Andrew T.;Salko, Robert K.;Collins, Benjamin S.
    • Nuclear Engineering and Technology
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    • v.49 no.6
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    • pp.1326-1338
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    • 2017
  • The continuous energy Monte Carlo neutron transport code, MC21, was coupled to the CTF subchannel thermal-hydraulics code using a combination of Consortium for Advanced Simulation of Light Water Reactors (CASL) tools and in-house Python scripts. An MC21/CTF solution for VERA Core Physics Benchmark Progression Problem 6 demonstrated good agreement with MC21/COBRA-IE and VERA solutions. The MC21/CTF solution for VERA Core Physics Benchmark Progression Problem 7, Watts Bar Unit 1 at beginning of cycle hot full power equilibrium xenon conditions, is the first published coupled Monte Carlo neutronics/subchannel T-H solution for this problem. MC21/CTF predicted a critical boron concentration of 854.5 ppm, yielding a critical eigenvalue of $0.99994{\pm}6.8E-6$ (95% confidence interval). Excellent agreement with a VERA solution of Problem 7 was also demonstrated for integral and local power and temperature parameters.

Further Improvement of Direct Solution-based FETI Algorithm (직접해법 기반의 FETI 알고리즘의 개선)

  • Kang, Seung-Hoon;Gong, DuHyun;Shin, SangJoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.5
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    • pp.249-257
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    • 2022
  • This paper presents an improved computational framework for the direct-solution-based finite element tearing and interconnecting (FETI) algorithm. The FETI-local algorithm is further improved herein, and localized Lagrange multipliers are used to define the interface among its subdomains. Selective inverse entry computation, using a property of the Boolean matrix, is employed for the computation of the subdomain interface stiffness and load, in which the original FETI-local algorithm requires a full matrix inverse computation of a high computational cost. In the global interface computation step, the original serial computation is replaced by a parallel multi-frontal method. The performance of the improved FETI-local algorithm was evaluated using a numerical example with 64 million degrees of freedom (DOFs). The computational time was reduced by up to 97.8% compared to that of the original algorithm. In addition, further stable and improved scalability was obtained in terms of a speed-up indicator. Furthermore, a performance comparison was conducted to evaluate the differences between the proposed algorithm and commercial software ANSYS using a large-scale computation with 432 million DOFs. Although ANSYS is superior in terms of computational time, the proposed algorithm has an advantage in terms of the speed-up increase per processor increase.

Study on Local Irritation in Rabbits and Micronucleus Test in Mice with YHB216 (YHB216의 토끼에서 국소독성시험 및 마우스에서 소핵시험)

  • 강민정;김미영;박명규;김봉태;안경규;최연식;문병석;이종욱
    • Toxicological Research
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    • v.18 no.1
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    • pp.79-85
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    • 2002
  • YHB216 is one of new recombinant human erythropoietins (rHu-EPO) developed by Yuhan Research Institute. The rHu-EPO products are widely being used for the treatment of various types of anemia. As a series of safety studies on YHB216, we performed the local irritation test (dermal & ocular application) in male New Zealand White rabbits and micronucleus test in male ICR mice. In the skin irritation test, 0.5 ml of YHB216 10,000 IU/ml solution was applied to the back skin of rabbits for 24 hours and sub-sequent observation was performed. There was no induced response after the treatment and the primary irritation index (P.I.I.) was‘0’. In the eye irritation test, 0.1 ml of YHB216 10,000 IU/mL solution was instilled into the conjunctiva of the eye. No treatment-related reaction was observed at the cornea, iris, and conjunctiva. In the micronucleus test, YHB216 was administered intravenously to male mice (6 mice per group) at dose levels of 0, 6,250, 12,500, and 25,000 IU/kg. Bone marrow cells were collected at 24 hours after the treatment. YHB216 treated groups showed no significant difference in the P/N (polychromatic erythrocyte/ normochromatic erythrocyte) ratio and in the number of micronucleated polychromatic erythrocyte com-pared with the control. In conclusion, YHB216 was found to be a non-irritating material up to 10,000 IU/ml in the local irritation test and to be a non-mutagen up to 25,000 IU/kg in the micronucleus test.