• 제목/요약/키워드: upper solutions

검색결과 316건 처리시간 0.026초

ASYMPTOTIC STABILITY OF COMPETING SPECIES

  • Kim, June Gi
    • Korean Journal of Mathematics
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    • 제4권1호
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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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몬주 고속증식로 상부플레넘에서의 열성층에 관한 전산유체역학 해석 (COMPUTATIONAL FLUID DYNAMICS ANALYSIS OF THERMAL STRATIFICATION IN THE UPPER PLENUM OF THE MONJU FAST BREEDER REACTOR)

  • 최석기;이태호
    • 한국전산유체공학회지
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    • 제17권4호
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    • pp.41-48
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    • 2012
  • A numerical analysis of thermal stratification in the upper plenum of the MONJU fast breeder reactor was performed. Calculations were performed for a 1/6 simplified model of the MONJU reactor using the commercial code, CFX-13. To better resolve the geometrically complex upper core structure of the MONJU reactor, the porous media approach was adopted for the simulation. First, a steady state solution was obtained and the transient solutions were then obtained for the turbine trip test conducted in December 1995. The time dependent inlet conditions for the mass flow rate and temperature were provided by JAEA. Good agreement with the experimental data was observed for steady state solution. The numerical solution of the transient analysis shows the formation of thermal stratification within the upper plenum of the reactor vessel during the turbine trip test. The temporal variations of temperature were predicted accurately by the present method in the initial rapid coastdown period (~300 seconds). However, transient numerical solutions show a faster thermal mixing than that observed in the experiment after the initial coastdown period. A nearly homogenization of the temperature field in the upper plenum is predicted after about 900 seconds, which is a much shorter-term thermal stratification than the experimental data indicates. This discrepancy is due to the shortcoming of the turbulence models available in the CFX-13 code for a natural convection flow with thermal stratification.

도식적 상.하계법을 이용한 비배수 점토지반에서 얕은 기초의 지지력계수 (Bearing Capacity Factor of Shallow Foundation in Undrnined Clay Using the Diagrammatic Upper and Lower Bound Methods)

  • 이용주
    • 한국지반공학회논문집
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    • 제27권5호
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    • pp.45-59
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    • 2011
  • 본 논문은 비배수 점토지반에서 얕은 기초의 지지력계수인 $N_c$값을 도식적 상계법과 하계법을 이용해 이론적으로 유도하고 이를 Prandtl(1921)이 제안한 값과 비교하였다. 그 결과, 상계법과 하계법이 일치하는 값이 Prandtl(1921)이 제안한 $N_c$ 값이 5.14임을 확인하였으며, 유한요소해석 결과도 얕은 기초가 파괴하중에 도달할 때의 $N_c$가 5.14로 나타났다. 이러한 유한요소해석 결과는 유한요소 형태(finite e1ement type)와 수, 그리고 증분수(increments)에 크게 의존한다. 본 연구를 통해 상계법에서 구한 값과 하계법에서 구한 값이 서로 일치할 때 비로소 이론적으로 정확한 값임을 정의할 수 있으나, 일치하는 값을 유도하는 일은 매우 어려우며 일반적으로 상계법의 해와 하계법 해 사이에 존재한다고 볼 수 있다.

늑막강내 카테터를 이용한 난치성 상복부통증의 치료경험 2예 (Interpleural Catheter in the Management of Chronic Refractoy Upper Abdominal Pain -A case report-)

  • 이기흥;이근보;박성식;홍정길
    • The Korean Journal of Pain
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    • 제11권2호
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    • pp.317-320
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    • 1998
  • Since Reiestad and Str$\ddot{o}$mskag reported interpleural installation of local anesthetic solutions as a technique for the management of postoperative pain in the patients undergoing cholecystectomy, renal surgery and breast surgery, many physician applied this technique for upper abdominal pain from various reasons such as technically simple, effective pain relief, less respiratory depression. So we tried interpleural analgesia in two patients who suffered from severe upper abdominal pain. One had upper abdominal pain due to chronic pancreatitis and the other had right upper abdominal pain after PTBD (percutaneous transhepatic bile drainage) for biliary cirrhosis and systemic jaundice. Both were injected 10 ml of 1% lidocaine and infused continuously with 1% lidocaine (2 ml/hr) using 2-Day Baxter$^{(R)}$ infusor. After bolus injection of lidocaine, pain scores (VAS 0~100) were recorded below 25mm and had not exceed that level during continuous infusion. After removing the catheters, two patients were all satisfied with this therapy. Our experiences with this technique showed that continuous infusion of local anesthetics through an interpleural catheter is effective in the control of refractory upper abdominal pain without any complication.

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QUASILINEARIZATION FOR SECOND ORDER SINGULAR BOUNDARY VALUE PROBLEMS WITH SOLUTIONS IN WEIGHTED SPACES

  • Devi, J.Vasundhara;Vatsala, A.S.
    • 대한수학회지
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    • 제37권5호
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    • pp.823-833
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    • 2000
  • In this paper, we develop the method of quasilinearization comvined with the methos of upper and lower solutions for singular second order boundary value problems in weighted spaces. The sequences constructed converge uniformly and monotonically to the unique of the second singular order boundary value problem. Further we prove the rate of convergence is quadratic.

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FIXED POINTS AND VARIATIONAL PRINCIPLE WITH APPLICATIONS TO EQUILIBRIUM PROBLEMS ON CONE METRIC SPACES

  • Bae, Jong-Sook;Cho, Seong-Hoon
    • 대한수학회지
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    • 제50권1호
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    • pp.95-109
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    • 2013
  • The aim of this paper is to establish variational principle on cone metric spaces and to give some existence theorems of solutions for equilibrium problems on cone metric spaces. We give some equivalences of an existence theorem of solutions for equilibrium problems on cone metric spaces.

다공질매체내의 류체류동 (Fluid flow in a Two-layer porous medium)

  • 이충구;조성환
    • 기계저널
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    • 제16권1호
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    • pp.49-53
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    • 1976
  • Groundwater flow in a two-layer aquifer is studied theoretically and experimentally. Nonlinear differential equations are independently linearized for the upper and the lower layer, and approximate solutions are obtained. Fine sands and coarse sands are used in experiments. For steady flow, theoretical solutions agrees excellently with experimental results For unsteady flow, however, agreement is not so good, because the experimental conditions do not match with theoretical assumptions.

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Existence and Uniqueness of Solutions of Fractional Differential Equations with Deviating Arguments under Integral Boundary Conditions

  • Dhaigude, Dnyanoba;Rizqan, Bakr
    • Kyungpook Mathematical Journal
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    • 제59권1호
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    • pp.191-202
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    • 2019
  • The aim of this paper is to develop a monotone iterative technique by introducing upper and lower solutions to Riemann-Liouville fractional differential equations with deviating arguments and integral boundary conditions. As an application of this technique, existence and uniqueness results are obtained.