• Title/Summary/Keyword: large solutions

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THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS

  • Jin, Tiankun;Yang, Zhipeng
    • Journal of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.489-506
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    • 2020
  • In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schrödinger-Poisson systems. We consider different superlinear growth assumptions on the non-linearity, starting from the well-know Ambrosetti-Rabinowitz type condition. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schrödinger-Poisson systems to the nonlocal fractional setting.

Selection Problems in terms of Coefficients of Vairiation

  • Park, Chi-Hoon;Jeon, Jong-Woo;Kim, Woo-Chul
    • Journal of the Korean Statistical Society
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    • v.11 no.1
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    • pp.12-24
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    • 1982
  • Selection procedures are proposed for selecting the 'best' industrial process with the smallest fraction defective. For normally distributed industrial processes, this is equivalent to selecting in terms of coefficients of variation. For the case of known vairances, selection procedures by Bechhofer (1954), and Bechhofer and Turnball (1978) are appropriate. We treat this problem for the case of uknown variances with or without reference to a standard. The large sample solutions of design constants are tabulated and the performance of these approximate solutions are investigated.

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Securing Web Services: Existing Solutions and Their Limitations

  • Nasridinov, Aziz;Byun, Jeong-Yong;Park, Young-Ho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.11a
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    • pp.918-919
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    • 2012
  • Web Services have been used in a variety of applications and have become a key technology in developing business operations on the Web. However, despite the growing use of Web Services by large corporations, security is still a major concern that is slowing their deployment. In this paper, we give an overview of security vulnerabilities, review the existing solutions, and show their limitations.

Numerical Tests of Large Mass Method for Stress Calculation of Euler-Bernoulli Beams Subjected to Support Accelerations (지지점 가속도에 의해 가진되는 보의 응력계산에 대한 거대질량법의 정확도)

  • Kim, Yong-Woo;Choi, Nam Seok;Jhung, Myung Jo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.188-193
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    • 2013
  • The large mass method for dynamic analysis of statically determinate beams subjected to in-phase support motions is justified by showing that the equation of motion of the beams under consideration is equivalent to that of large mass model of the beam when an appropriate large mass ratio is employed. The accuracy of the stress responses based on the beam large mass method is investigated through careful numerical tests. The numerical results are compared to analytic solutions and the comparison shows that the large mass method yields not only the time history of motion but also the distributions of bending moment and shear force accurately.

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Rheology of concentrated xanthan gum solutions: Oscillatory shear flow behavior

  • Song Ki-Won;Kuk Hoa-Youn;Chang Gap-Shik
    • Korea-Australia Rheology Journal
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    • v.18 no.2
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    • pp.67-81
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    • 2006
  • Using a strain-controlled rheometer, the dynamic viscoelastic properties of aqueous xanthan gum solutions with different concentrations were measured over a wide range of strain amplitudes and then the linear viscoelastic behavior in small amplitude oscillatory shear flow fields was investigated over a broad range of angular frequencies. In this article, both the strain amplitude and concentration dependencies of dynamic viscoelastic behavior were reported at full length from the experimental data obtained from strain-sweep tests. In addition, the linear viscoelastic behavior was explained in detail and the effects of angular frequency and concentration on this behavior were discussed using the well-known power-law type equations. Finally, a fractional derivative model originally developed by Ma and Barbosa-Canovas (1996) was employed to make a quantitative description of a linear viscoelastic behavior and then the applicability of this model was examined with a brief comment on its limitations. Main findings obtained from this study can be summarized as follows: (1) At strain amplitude range larger than 10%, the storage modulus shows a nonlinear strain-thinning behavior, indicating a decrease in storage modulus as an increase in strain amplitude. (2) At strain amplitude range larger than 80%, the loss modulus exhibits an exceptional nonlinear strain-overshoot behavior, indicating that the loss modulus is first increased up to a certain strain amplitude(${\gamma}_0{\approx}150%$) beyond which followed by a decrease in loss modulus with an increase in strain amplitude. (3) At sufficiently large strain amplitude range (${\gamma}_0>200%$), a viscous behavior becomes superior to an elastic behavior. (4) An ability to flow without fracture at large strain amplitudes is one of the most important differences between typical strong gel systems and concentrated xanthan gum solutions. (5) The linear viscoelastic behavior of concentrated xanthan gum solutions is dominated by an elastic nature rather than a viscous nature and a gel-like structure is present in these systems. (6) As the polymer concentration is increased, xanthan gum solutions become more elastic and can be characterized by a slower relaxation mechanism. (7) Concentrated xanthan gum solutions do not form a chemically cross-linked stable (strong) gel but exhibit a weak gel-like behavior. (8) A fractional derivative model may be an attractive means for predicting a linear viscoelastic behavior of concentrated xanthan gum solutions but classified as a semi-empirical relationship because there exists no real physical meaning for the model parameters.

ASYMPTOTIC STABILITY OF COMPETING SPECIES

  • Kim, June Gi
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.39-43
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    • 1996
  • Large-time asymptotic behavior of the solutions of interacting population reaction-diffusion systems are considered. Polynomial stability was proved.

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An Analysis of the Growing Trend on the Major Fisheries of the Coastal and Adjacent-Sea in Korea (연근해주요어업의 성장성분석(II))

  • 김태용
    • The Journal of Fisheries Business Administration
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    • v.13 no.1
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    • pp.63-84
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    • 1982
  • This study is an analysis of the growing trend from 1971 to 1980 on the four major fisheries in Korea; large powered purse seine, anchovy drag net, two boats large trawl and one boat large trawl. The main purpose of this study is to find some solutions against the problems which these fisheries are faced with, through the analysis of the growing trend of income, capital structure and main ratios of finance. According to the result of the analysis, the problems are as following: \circled1 Revenues per vessel was decreased when catches per vessel was decreased in 1979, 1980. therefore the increase ratio of the revenues per vessel was weakened from 1979. \circled2 Catches per vessel was decreased from 1979 in spite of the increase of gross cathes in its field. \circled3 Production costs in fishing, such as the cost of wages, fuels and repairs, was steadily up year by year. \circled4 Profitability was deteriorated from 1978. \circled5 productivity was lower from 1978. \circled6 Stability was lower from 1978. The solutions out of the above problems are as follows; \circled1 Fisheries resources must be fostered. \circled2 The numbers of vessels should be reduced according to the fisheries resources. \circled3 The precise amount of resources should be dynamically estimated. \circled4 The fishermen must be educated to reduce fishing cost such as the cost of fuels and repairs, etc. \circled5 The old vessels should be replaced. \circled6 The production efficiency should be promoted. \circled7 The rate of interest should be cut down to reduce financial cost.

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Decentralized Stabilization for Uncertain Discrete-Time Large-Scale Systems with Delays in Interconnections and Controller Gain Perturbations (제어기의 이득 섭동을 갖는 이산 시간지연 대규모 시스템을 위한 강인 비약성 제어기)

  • Park, Ju-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.5
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    • pp.8-17
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    • 2002
  • This paper considers the problems of robust decentralized control for uncertain discrete-time large-scale systems with delays in interconnections and state feedback gain perturbations. Based on the Lyapunov method, the state feedback control design for robust stability is given in terms of solutions to a linear matrix inequality (LMI), and the measure of non-fragility in controller is presented. The solutions of the LMI can be easily obtained using efficient convex optimization techniques. A numerical example is included to illustrate the design procedures.

Design of SCADA System for a Large-Scale Offshore Wind Farm (대규모 해상풍력발전단지 운용을 위한 SCADA 시스템 설계)

  • Kim, Dong Wook;Song, Jae Ju;Jung, Nam Joon;Choi, Hyo Yul
    • KIPS Transactions on Computer and Communication Systems
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    • v.1 no.3
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    • pp.161-170
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    • 2012
  • In recent years, many researchers and developers have been interested in renewable energy all over the world. Particularly, the development of wind power is being processed actively due to its high economic efficiency. A few years ago, Korean government has started the research for building a large-scale offshore wind farm in domestic west-southern area. Current domestic SCADA technology level for operating wind farm is very low compared with foreign SCADA technology level. In this paper, we found IT issues and solutions for developing SCADA system. Based on these solutions, we designed SCADA system for a large-scale offshore wind farm.