• Title/Summary/Keyword: Weak solutions

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SINGULARITY ESTIMATES FOR ELLIPTIC SYSTEMS OF m-LAPLACIANS

  • Li, Yayun;Liu, Bei
    • Journal of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1423-1433
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    • 2018
  • This paper is concerned about several quasilinear elliptic systems with m-Laplacians. According to the Liouville theorems of those systems on ${\mathbb{R}}^n$, we obtain the singularity estimates of the positive $C^1$-weak solutions on bounded or unbounded domain (but it is not ${\mathbb{R}}^n$ and their decay rates on the exterior domain when ${\mid}x{\mid}{\rightarrow}{\infty}$. The doubling lemma which is developed by Polacik-Quittner-Souplet plays a key role in this paper. In addition, the corresponding results of several special examples are presented.

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR IN A THREE-DIMENSIONAL TWO-SPECIES CHEMOTAXIS-STOKES SYSTEM WITH TENSOR-VALUED SENSITIVITY

  • Liu, Bin;Ren, Guoqiang
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.215-247
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    • 2020
  • In this paper, we deal with a two-species chemotaxis-Stokes system with Lotka-Volterra competitive kinetics under homogeneous Neumann boundary conditions in a general three-dimensional bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some Lp-estimate techniques, we show that the system possesses at least one global and bounded weak solution, in addition to discussing the asymptotic behavior of the solutions. Our results generalizes and improves partial previously known ones.

Remediation of Insecticides (Parathion, Diazinon) Contaminated Soil by Washing Process (토양 세척을 통한 살충제 (파라티온, 다이아지논)로 오염된 토양의 정화)

  • 현재혁;백정선;조미영
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 1999.10a
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    • pp.3-6
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    • 1999
  • Several chemical washing procedures were applied to Parathion and Diazinon contaminated soil. Batch and column tests were performed to determine the insecticides extraction efficiency as a function of pH. Washing efficiency of methanol is more higher than that of water and HCl when washed parathion and diazinon are. Those are completely miscible with most organic solvents. For parathion, release trend is increased as pH is increased because it is hydrolyzed easily at the condition of alkali. But diazinon shows reverse because diazinon is decomposed rapidly at the condition of acidic So, diazinon is more released than parathion is because this experiment is peformed in acidic and weak acidic conditions. Generally, parathion and diazinon are classified as having low mobility, so they can be easily controlled if the proper washing process are applied.

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Varietal Difference in Salinity Tolerance during Germination Stage of Rice

  • Lee, Kang-Soo;Choi, Sun-Young;Choi, Won-Yul
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.43 no.1
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    • pp.11-14
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    • 1998
  • This study was conducted to find out a desirable screening condition for the salinity tolerance in germination of rice. Seeds of 33 rice varieties were tested in NaCl solutions with various concentration levels. The germination percentage had a decreasing tendency with increasing NaCl concentration and inhibition concentration of 50% germination was 320mM. Standard deviation of germination percentage was highest (28.6) under 300mM NaCl. There was a highly significant correlation between the 50% germination concentration and the germination percentage at 20th day after seeding in 300mM NaCl. Also in 300mM NaCl, the germination percentage at 20th day after seeding was significantly correlated with the germination percentage at the 6th day after seeding. The salinity tolerance on the basis of germination percentage at 6th day after seeding in 300mM NaCl, was strong in 'Hyangnambyeo', 'Ilmibyeo', 'Kancheogbyeo', and 'Namwonbyeo', while weak in 'Ansanbyeo', 'Odaebyeo', 'Nonganbyeo', 'Dasanbyeo', and 'Namcheonbyeo'.

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Partial molal volume and viscosity of anilinium chloride in water at various temperatures (여러온도에서 염화아닐린늄의 수용액중에서의 분몰랄부피 및 점도에 관한 연구)

  • Byung-Rin Cho;Young-Ja Lee;Kwang-Ho Kim
    • Journal of the Korean Chemical Society
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    • v.15 no.2
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    • pp.85-93
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    • 1971
  • Apparent molal valumes ${\phi}_v$ and relative viscosities ${\eta}_r$ of aqueous solutions of anilinium chloride have been determined at two degree intervals from 20 to $50^{\circ}C$ in the molar concentration range 0.003 < C < 0.4. The results are discussed in terms of partial molal volumes $\={V}^{\circ}$, deviations from the Debye-H$\''{u}$ckel limiting law, partial molal expansibilities $\={E}^{\circ}$, viscosity B coefficients calculated from the Jones-Dole equation, and energy of activation for viscous flow. In aqueous solution, anilinium chloride was found to be a weak structure-maker due to its hydrophobic group.

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CONVERGENCE RESULTS FOR THE COOPERATIVE CROSS-DIFFUSION SYSTEM WITH WEAK COOPERATIONS

  • Shim, Seong-A
    • The Pure and Applied Mathematics
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    • v.24 no.4
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    • pp.201-209
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    • 2017
  • We prove convergence properties of the global solutions to the cooperative cross-diffusion system with the intra-specific cooperative pressures dominated by the inter-specific competition pressures and the inter-specific cooperative pressures dominated by intra-specific competition pressures. Under these conditions the $W^1_2-bound$ and the time global existence of the solution for the cooperative cross-diffusion system have been obtained in [10]. In the present paper the convergence of the global solution is established for the cooperative cross-diffusion system with large diffusion coefficients.

Developing a Layout Based Simulation Model for Production Planning of Small Motor Production System (소형모터 생산시스템의 생산계획수립을 위한 설비배치 기반의 시뮬레이션 모형 구축)

  • 김승환
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.10a
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    • pp.65-65
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    • 1998
  • Manufacturing systems like a motor production process are analyzed using simulations than numerical analyses and/or heuristic methods due to their stochastic properties. The SME(small and medium enterprise) producing automotive motors that develop CIM systems to improve production performance is focused as an application site. We analyze and understand the system exactly using layout based simulation, and then we will suggest the initial feashible production-plan dependent on the layout to overcome weak-points of the current system(i.e., high WIPs, bottle-neck processes, due-date delays and etc.). And, solutions are suggested to increase performances of SMEs producing automotive motors in this paper. The simulation model built in this study is moedlled and analyzed with fully object-oriented methodology using SiMPLE++TM according to properties of production processes of the automotive motor. And, we will introduce ways to verify the model with developed templates for reusability when new needs will be occurred such as designing a new ship, extension or rearrangement of the system, change of production-plans, receiving urgent orders, and so on.

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Recovery of Gallium and Indium from Zinc Residues by Acid Leaching (산침출에 의한 아연제련잔사로부터 갈륨 및 인디움의 회수)

  • 이화영;김성규;오종기
    • Resources Recycling
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    • v.2 no.2
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    • pp.22-26
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    • 1993
  • The flowsheet for the recovery of gallium and indium from zinc residues has been established based on the sulfuric acid treatment. In comparison with the alkali treatment, the method proposed in this work allowed the recovery of indium together with gallium. The majority of iron contained in leach liquor could be removed through the two-stage neutrallization under oxidative or reductive atmosphere. Crude gallium and indium could be obtained through the alkali and/or acid leaching of the products generated from the above treatment. In addition, cementation of indium with zinc powders could also be used for the concentration of it from weak acid solutions.

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MULTIOBJECTIVE SECOND-ORDER NONDIFFERENTIABLE SYMMETRIC DUALITY INVOLVING (F, $\alpha$, $\rho$, d)-CONVEX FUNCTIONS

  • Gupta, S.K.;Kailey, N.;Sharma, M.K.
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1395-1408
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    • 2010
  • In this paper, a pair of Wolfe type second-order nondifferentiable multiobjective symmetric dual program over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order (F, $\alpha$, $\rho$, d)-convexity assumptions. An illustration is given to show that second-order (F, $\alpha$, $\rho$, d)-convex functions are generalization of second-order F-convex functions. Several known results including many recent works are obtained as special cases.

Static analysis of FGM cylinders by a mesh-free method

  • Foroutan, M.;Moradi-Dastjerdi, R.;Sotoodeh-Bahreini, R.
    • Steel and Composite Structures
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    • v.12 no.1
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    • pp.1-11
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    • 2012
  • In this paper static analysis of FGM cylinders subjected to internal and external pressure was carried out by a mesh-free method. In this analysis MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essential boundary conditions are imposed by transformation method. Mechanical properties of cylinders were assumed to be variable in the radial direction. Two types of cylinders were analyzed in this work. At first cylinders with infinite length were considered and results obtained for these cylinders were compared with analytical solutions and a very good agreement was seen between them. Then the proposed mesh-free method was used for analysis of cylinders with finite length and two different types of boundary conditions. Results obtained from these analyses were compared with results of finite element analyses and a very good agreement was seen between them.