• Title/Summary/Keyword: super-solution

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POSITIVE SOLUTION FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEM WITH MULTIPLE PARAMETERS AND SINGULAR WEIGHTS

  • AFROUZI, G.A.;ZAHMATKESH, H.
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.121-130
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    • 2017
  • This study is concerned with the existence of positive solution for the following nonlinear elliptic system $$\{-M_1(\int_{\Omega}{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^pdx)div({\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)\\{\hfill{120}}={\mid}x{\mid}^{-(a+1)p+c_1}\({\alpha}_1A_1(x)f(v)+{\beta}_1B_1(x)h(u)\),\;x{\in}{\Omega},\\-M_2(\int_{\Omega}{\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^qdx)div({\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^{q-2}{\nabla}v)\\{\hfill{120}}={\mid}x{\mid}^{-(b+1)q+c_2}\({\alpha}_2A_2(x)g(u)+{\beta}_2B_2(x)k(v)\),\;x{\in}{\Omega},\\{u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}$ is a bounded smooth domain of ${\mathbb{R}}^N$ with $0{\in}{\Omega}$, 1 < p, q < N, $0{\leq}a$ < $\frac{N-p}{p}$, $0{\leq}b$ < $\frac{N-q}{q}$ and ${\alpha}_i,{\beta}_i,c_i$ are positive parameters. Here $M_i,A_i,B_i,f,g,h,k$ are continuous functions and we discuss the existence of positive solution when they satisfy certain additional conditions. Our approach is based on the sub and super solutions method.

INFLUENCES OF DRY METHODS OF RETROCAVITY ON THE APICAL SEAL (치근단 역충전와동의 건조방법이 폐쇄성에 미치는 영향)

  • Lee, Jung-Tae;Kim, Sung-Kyo
    • Restorative Dentistry and Endodontics
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    • v.24 no.1
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    • pp.166-179
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    • 1999
  • Apical sealing is essential for the success of surgical endodontic treatment. Root-end cavity is apt to be contaminated with moisture or blood, and is not always easy to be dried completely. The purpose of this study was to evaluate the influence of dry methods of retrocavity on the apical seal in endodontic surgery. Apical seal was investigated through the evaluation of apical leakage and adaptation of filling material over the cavity wall. To investigate the influence of various dry methods on the apical leakage, 125 palatal roots of extracted human maxillary molar teeth were used. The clinical crown of each tooth was removed at 10 mm from the root apex using a slow-speed diamond saw and water spray. Root canals of the all the specimens were prepared with step-back technique and filled with gutta-percha by lateral condensation method. After removing of the coronal 2 mm of filling material, the access cavities were closed with Cavit$^{(R)}$. Two coats of nail polish were applied to the external surface of each root. Apical three millimeters of each root was resected perpendicular to the long axis of the root with a diamond saw. Class I retrograde cavities were prepared with ultrasonic instruments. Retrocavities were washed with physiologic saline solution and dried with various methods or contaminated with human blood. Retrocavities were filled either with IRM, Super EBA or composite resin. All the specimens were immersed in 2% methylene blue solution for 7 days in an incubator at $37^{\circ}C$. The teeth were dissolved in 14 ml of 35% nitric acid solution and the dye present within the root canal system was returned to solution. The leakage of dye was quantitatively measured via spectrophotometric method. The obtained data were analysed statistically using one-way ANOVA and Duncan's Multiple Range Test. To evaluate the influence of various dry methods on the adaptation of filling material over the cavity wall, 12 palatal roots of extracted human maxillary molar teeth were used. After all the roots were prepared and filled, and retrograde cavities were made and filled as above, roots were sectioned longitudinally. Filling-dentin interface of cut surfaces were examined by scanning electron microscope. The results were as follows: 1. Cavities dried with paper point or compressed air showed less leakage than those dried with cotton pellet in Super EBA filled cavity (p<0.05). However, there was no difference between paper point- and compressed air-dried cavities. 2. When cavities were dried with compressed air, dentin-bonded composite resin-filled cavities showed less apical leakage than IRM- or Super EBA-filled ones (p<0.05). 3. Regardless of the filling material, cavities contaminated with human blood showed significantly more apical leakage than those dried with compressed air after saline irrigation (p<0.05). 4. Outer half of the cavity showed larger dentin-filling interface gap than inner half did when cavities were filled with IRM or Super EBA. 5. In all the filling material groups, cavities contaminated with blood or dried with cotton pellets only showed larger defects at the base of the cavity than ones dried with paper points or compressed air.

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Preparation and Super-Water-Absorbency of Poly(sodium acrylate-co-acrylamide-co-2-hydroxyethyl acrylate) (Poly(sodium acrylate-co-acrylamide-co-2-hydroxyethyl acrylate)의 제조와 고흡수 특성)

  • Zhang Yuhong;Deng Min;He Peixin
    • Polymer(Korea)
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    • v.30 no.4
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    • pp.286-292
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    • 2006
  • Super water-absorbent resins were prepared by inverse suspension copolymerization of sodium acrylate, acrylamide and 2-hydroxyethyl acrylate using N, N'-methylene-bis-acrylamide as cross-linker. For the suspension copolymerization, monohexadecyl phosphate was employed as the dispersing agent, cyclohexane as the dispersing medium and potassium persulfate as the initiator. The dependence of water-absorption capacity on the amount of crosslinking agent, oil/water ratio, degree of neutralization and the composition of the copolymer were systematically investigated. Furthermore, the swelling kinetics of the super water-absorbent copolymer was carried out. The absorption of the resins is more than 1800 g/g for deionized water and 100 g/g for 0.9% NaCl solution, respectively. The copolymers showed an increased salt resistance and enhanced water retention of soil.

Effects of Rare Earth Metals Addition and Aging Treatment on the Corrosion Resistance and Mechanical Properties of Super Duplex Stainless Steels

  • 박용수;김순태;이인성;송치복
    • Transactions of Materials Processing
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    • v.8 no.3
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    • pp.309-309
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    • 1999
  • Effects of rare earth metals addition and aging treatment on corrosion resistance and mechanical properties of super duplex stainless steels were investigated using optical/SEM/TEM metallographic examination, an X-ray diffraction test, a potentiodynamic anodic polarization test and a tensile test. The performance of the experimental alloy with 0.32% REM addition was compared with commercial super duplex stainless steel such as SAF 2507 when they were exposed to solution annealing heat treatment and aging treatment. The corrosion resistance in CF environments and mechanical properties of the experimental alloy were found superior to those of the commercial duplex stainless steel. The REM with larger atomic radii than those of Cr, Mo and W may fill vacancies inside the matrix and around the grain boundaries, retarding formation of harmful intermetallic σ and χ phases. In addition, fine REM oxides/oxy-sulfides (1-3㎛) seemed to enhance the retardation effects. With REM additions, strength and ductility increased due to the phase and grain refinement caused by fine REM oxides and oxy-sulfides.

A Time-Varying Gain Super-Twisting Algorithm to Drive a SPIM

  • Zaidi, Noureddaher;Jemli, Mohamed;Azza, Hechmi Ben;Boussak, Mohamed
    • Journal of Power Electronics
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    • v.13 no.6
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    • pp.955-963
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    • 2013
  • To acquire a performed and practical solution that is free from chattering, this study proposes the use of an adaptive super-twisting algorithm to drive a single-phase induction motor. Partial feedback linearization is applied before using a super-twisting algorithm to control the speed and stator currents. The load torque is considered an unknown but bounded disturbance. Therefore, a time-varying switching gain that does not require prior knowledge of the disturbance boundary is proposed. A simple sliding surface is formulated as the difference between the real and desired trajectories obtained from the indirect rotor flux oriented control strategy. To illustrate the effectiveness of the proposed control structure, an experimental setup around a digital signal processor (dS1104) is developed and several tests are performed.

Manufacture of Colored Hanji for Interior Materials from Natural Pigments (Part 1) - Manufacture of Super Eight Colors Changhoji - (천연색소를 이용한 건축내장용 색한지 제조 (제1보) - Super eight color 창호지의 제조-)

  • Jang, Hye-Mi;Nam, Hyun-Ju;Go, In-Hee;Choi, Tea-Ho
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.43 no.1
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    • pp.36-46
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    • 2011
  • The purpose of this study was to manufacture colored Hanji for interior materials by combining color therapy and natural dyeing. To manufacture colored Changhoji for interior materials, seven species of dyestuff were selected as a results of preliminary natural dyeing. As mordants, 0.5% $AlK(SO_4)_2{\cdot}12H_20$ and 0.5% $Cu(CH_3COO)_2{\cdot}H_2O$ solution were used respectively. To estimate natural dyeing properties of Changhoji, the value of $L^*,\;a^*,\;b^*$ and Munsell HV/C were measured by spectrophotometer. The super eight colors produced as follows; red from safflower, orang from goldthread and gardenia, yellow from turmeric, green and turquoise from indigo and pagoda tree flower, violet and magenta from sappanwood, and blue from indigo.

Molasses clarifying method used by lime-phosphate for yeast culture (효모배지용 당밀의 청징법에 관하여)

  • 임억규
    • Korean Journal of Microbiology
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    • v.19 no.3
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    • pp.121-127
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    • 1981
  • The constituents of molasses and effect of pH precipitate formation in molasses solution, vary according to its producing districts. The formation of precipitation is not so changeable in the range of buffering zone of molasses solution(pH4.3-6.3) in philippine molasses according to the change of pH value. On lower or higher than the range of buffering zone, the precipitation is increased from pH 4.3 to 2.8 and from 6.3 to 8.1, it is decreased when pH value is lower or higher than the pH value range. For molasses clarifying, it had better adjust the pH of molasses solution to neutral or weak alkali range out of the alkai side of the buffering zone, with lime solution. And then, add the calcium super phosphate solution to pH value of alkali side in buffering zone, as much as the pH of clarified molasses solution can reach to middle value in buffering zone. For the equilibrium of pH value on clarifying molasses, it takes plenty of time more than 6 hours.

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Analysis of Surface Properties of PVC Thin Film according to Addition of Non-solvent to PVC-THF Solution (PVC-THF 용액에 비용매 첨가에 따른 PVC 박막의 표면 특성 분석)

  • Lee, Seung Gyu;Moon, Je Cheol;Lee, Won Gyu
    • Applied Chemistry for Engineering
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    • v.33 no.4
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    • pp.367-372
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    • 2022
  • The effect of the addition of a polyvinylchloride (PVC) non-solvent to a PVC-tetrahydrofuran (THF) solution on the surface properties of the PVC thin film was analyzed. The non-solvents used were composed of alcohol-based and non-alcoholic ones. Surface morphologies of PVC thin films according to the addition of the non-solvent were compared. In addition, the hydrophobic properties relying on the surface characteristics were compared. The micro-bubbles generated in the preparation of PVC-THF solution affected the surface morphology of the thin film. In order to implement the normal surface physical properties of the coating thin film at the relatively high concentration of PVC-THF solution, the selection of appropriate drying method was required. When an alcohol-based non-solvent was added, a PVC thin film having a granular porous surface was obtained and exhibited super hydrophobic properties. The volume ratio of the PVC-THF solution to the non-solvent affects the surface shape of the coating thin film. The larger the amount of non-solvent was added, the more advantageous it was to form a super hydrophobic PVC thin film.

Image Resolution Enhancement by Improved S&A Method using POCS (POCS 이론을 이용한 개선된 S&A 방법에 의한 영상의 화질 향상)

  • Yoon, Soo-Ah;Lee, Tae-Gyoun;Lee, Sang-Heon;Son, Myoung-Kyu;Kim, Duk-Gyoo;Won, Chul-Ho
    • Journal of Korea Multimedia Society
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    • v.14 no.11
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    • pp.1392-1400
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    • 2011
  • In most digital imaging applications, high-resolution images or videos are usually desired for later image processing and analysis. The image signal obtained from general imaging system occurs image degradation during the process of image acquirement caused by the optics, physical constraints and the atmosphere effects. Super-resolution reconstruction, one of the solution to address this problem, is image reconstruction technique that produces a high-resolution image from several low-resolution frames in video sequences. In this paper, we propose an improved super-resolution method using Projection onto Convex Sets (POCS) method based on Shift & Add (S&A). The image using conventional algorithms is sensitive to noise. To solve this problem, we propose a fusion algorithm of S&A and POCS. Also we solve the problem using BLPF (Butterworth Low-pass Filter) in frequency domain as optical blur. Our method is robust to noise and has sharpness enhancement ability. Experimental results show that the proposed super-resolution method has better resolution enhancement performance than other super-resolution methods.

Steady-State Performance Analysis of Air Conditioner with Multi-Indoor Units (복수 실내기를 가지는 에어컨의 정상상태 성능해석)

  • Hur, Hyun;Lee, Jin Wook;Jung, Eui Guk;Kim, Byung Soon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.11
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    • pp.705-715
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    • 2016
  • In this study, the cycle performance of an air conditioner with multi-indoor units is analyzed and simulated. The cycle performance could be predicted through the integration of mathematical formulation for these devices. The condenser pressure is obtained by an iteration process to match the mass flow rates of the compressor and the expansion valve and the evaporator pressure is determined by an iteration process, in which the suction super heat is tracing the targeted super heat. The required software was developed by system programming. the software algorithm is extended to predict the cycle performance of an air conditioner system with multi-indoor units, and then the numerical results are compared with experimental results. This mathematical model is validated from the result of experiments conducted on 8.3kW air conditioner. The errors in capacity, electronic power, and COP are found to be within 10% in general.