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THE GLOBAL EXISTENCE AND BEHAVIOR OF RADIAL SOLUTIONS OF A NONLINEAR p-LAPLACIAN TYPE EQUATION WITH SINGULAR COEFFICIENTS

  • Hikmat El Baghouri;Arij Bouzelmate
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.333-360
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    • 2024
  • This paper is concerned with the radial solutions of a nonlinear elliptic equation ∆pu + |x|𝑙1 |u|q1-1 u + |x|𝑙2 |u|q2-1 u = 0, x ∈ ℝN, where p > 2, N ≥ 1, q2 > q1 ≥ 1, -p < 𝑙2 < 𝑙1 ≤ 0 and -N < 𝑙2 < 𝑙1 ≤ 0. We prove the existence of global solutions, we give their classification and we present the explicit behavior of positive solutions near the origin and infinity.

Saccharomyces cerevisiae partially to completely ameliorates the adverse effects of aflatoxin on the in vitro rumen fermentation of buffalo diet

  • Singh, Ram;Koo, Jin Su;Park, Sungkwon;Balasubramanian, Balamuralikrishnan
    • 농업과학연구
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    • 제48권1호
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    • pp.73-81
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    • 2021
  • The current study investigated how Saccharomyces cerevisiae ameliorates the adverse effects of aflatoxin on in vitro rumen fermentation. In this study, five groups (T1: Control [basal feed]; T2: T1 + 300 ppb aflatoxin B1 [AFB1] and T3, T4, and T5: T2 with 0.05, 0.1, and 0.2% of S. cerevisiae, respectively) were prepared and incubated in vitro. The results revealed that truly degradable dry matter (TDDM), gas production (GP), microbial biomass production (MBP), truly degradable organic matter (TDOM), partitioning factor (PF), total volatile fatty acids (TVFA), acetate (A), propionate (P) and butyrate (B) values in the control group (T1) were higher (p < 0.05) than those of the AFB1 fed group (T2). The A : P ratio in the control group (T1) was reduced (p < 0.05) when compared to that of the T2 group. The TDDM, TDOM, GP, TVFA, A, P, and B values of T3, T4, and T5 improved with the increasing levels of S. cerevisiae; however, the values of group T5 were lower (p < 0.05) than that of the control. The values of MBP, A : P ratio and PF in group T5 were statistically similar to that of the control. It was concluded that the inclusion of S. cerevisiae (0.05 to 0.20%) to the AFB1 (300 ppb) contaminated feed partially to completely ameliorated the adverse effects of AFB1 on the in vitro rumen fermentation parameters.

Monte Carlo Simulations and DFT Studies of the Structural Properties of Silicon Oxide Clusters Reacting with a Water Molecule

  • Jisu Lee;Gyun-Tack Bae
    • 대한화학회지
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    • 제67권5호
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    • pp.333-338
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    • 2023
  • In this study, the H2O reaction with SiO clusters was investigated using ab initio Monte Carlo simulations and density functional theory calculations. Three chemistry models, PBE1/DGDZVP (Model 1), PBE1/DGDZVP (Si atom), and aug-cc-pVDZ (O and H atoms), (Model 2) and PBE1/aug-cc-pVDZ (Model 3), were used. The average bond lengths, as well as the relative and reaction energies, were calculated using Models 1, 2, and 3. The average bond lengths of Si-O and O-H are 1.67-1.75 Å and 0.96-0.97 Å, respectively, using Models 1, 2, and 3. The most stable structures were formed by the H transfer from an H2O molecule except for Si3O3-H2O-1 cluster. The Si3O3 cluster with H2O exhibited the lowest reaction energy. In addition, the Bader charge distributions of the SinOn and (SiO)n-H2O clusters with n = 1-7 were calculated using Model 1. We determined that the reaction sites between H2O and the SiO clusters possessed the highest fraction of electrons.

Influence of various concentrations of aflatoxin B1 on in vitro rumen fermentation of a buffalo diet

  • Singh, Ram;Park, Sungkwon;Koo, Jin Su;Balasubramanian, Balamuralikrishnan
    • 농업과학연구
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    • 제47권1호
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    • pp.131-138
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    • 2020
  • The aim of this study was to evaluate the effect of aflatoxin B1 (AFB1) on in vitro rumen fermentation at various dose levels of 0 (T1), 100 (T2), 200 (T3), and 300 (T4) ppb in a wheat straw-based buffalo diet. The results show that the truly degradable dry matter, truly degradable organic matter, gas production, microbial biomass production and partitioning factor values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The total volatile fatty acids, acetate, propionate, and butyrate values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor value in the control group (T1) was higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor values of the T2 and T3 groups were higher (p < 0.05) than that of the T4 group. There was no significant variation in the partitioning factor value between the T2 and T3 group. The acetate : propionate (A : P) ratio in the control group (T1) was lower (p < 0.05) than those of the T2, T3, and T4 groups. The A : P ratio in the T2 group was lower (p < 0.05) than those of the T3 and T4 groups. It was concluded that different levels of AFB1 contamination in feed significantly affect the in vitro rumen fermentation characteristics. Thus, these findings could help to determine the influences of AFB1 in a wheat straw-based buffalo diet. Additionally, it is necessary to manage AFB1 contamination in ruminants.

Nanocomposite Electrode Materials Prepared from Pinus roxburghii and Hematite for Application in Supercapacitors

  • SHRESTHA, Dibyashree
    • Journal of the Korean Wood Science and Technology
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    • 제50권4호
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    • pp.219-236
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    • 2022
  • Wood-based nanocomposite electrode materials were synthesized for application in supercapacitors by mixing nanostructured hematite (Fe2O3) with highly porous activated carbon (AC) produced from the wood-waste of Pinus roxburghii. The AC was characterized using various instrumental techniques and the results showed admirable electrochemical properties, such as high surface area and reasonable porosity. Firstly, AC was tested as an electrode material for supercapacitors and it showed a specific capacitance of 59.02 Fg-1 at a current density of 1 Ag-1, cycle life of 84.2% after 1,000 cycles (at a current density of 3 Ag-1), and energy density of 5.1 Wh/kg at a power density of 135 Wkg-1. However, when the AC was composited with different ratios of Fe2O3 (1:1, 2:1, and 1:2), there was an overall improvement in its electrochemical performance. Among the 3 ratios, 2:1 (AC:Fe2O3) had the best specific capacitance of 102.42 Fg-1 at 1 Ag-1, cycle life of 94.4% capacitance after 1,000 cycles (at a current density of 3 Ag-1), and energy density of 8.34 Wh/kg at a power density of 395.15 Wkg-1 in 6 M KOH electrolyte in a 3-electrode experimental setup with a high working voltage of 1.55 V. Furthermore, when Fe2O3 was doubled, 1:2 (AC:Fe2O3), the electrochemical capacitive performance of the electrode twisted and deteriorated due to either the accumulation of Fe2O3 particles within the composite or higher bulk resistance value of pure Fe2O3.

소성/환원 조건이 Ru/TiO2의 NH3-SCO 반응활성에 미치는 영향 (The Effect of Calcination/reduction Condition Over Ru/TiO2 on the NH3-SCO Reaction Activity)

  • 신중훈;홍성창
    • 공업화학
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    • 제31권1호
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    • pp.108-114
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    • 2020
  • 본 연구에서는, Ru[1]/TiO2 촉매 제조 시 소성/환원 조건에 따른 NH3-SCO (selective catalytic oxidation) 효율을 비교하였다. Ru[1]/TiO2 red는 Ru[1]/TiO2 cal에 비하여 NH3 전환율 및 NH3의 N2 전환율이 우수하였다. Ru[1]/TiO2 촉매의 물리·화학적 특성은 BET, XRD, TEM, XPS, H2-TPR 분석에 의해 확인되었으며, 활성금속의 분산도와 표면 흡착 산소종(Oβ)의 비율에 영향을 미치는 것으로 나타났다.

소다석회유리에서 Al2O3가 isokom 온도에 미치는 영향 (The effect of Al2O3 on the isokom temperatures in soda-lime glass)

  • 강승민;김창삼
    • 한국결정성장학회지
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    • 제32권3호
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    • pp.103-106
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    • 2022
  • 소다석회유리에서 Al2O3가 isokom 온도에 미치는 영향을 Lakatos 모델을 이용하여 분석하였다. Na2O와 CaO의 함량이 같고 SiO2의 양이 0.5 mol% 감소하고 Al2O3 양이 0.5 mol% 증가했을 때 isokom 온도는 log η = 12.3, 10, 6.6, 1에서 각각 3.1, 3.3, 3.6, 7.2℃ 높아졌다. 한편, SiO2와 Na2O의 함양이 같고 CaO가 0.5 mol% 감소하고 Al2O3가 0.5 mol% 증가한 경우는 log η = 12.3, 10, 6.6, 1에서 각각 1.6, 2.3, 4.1, 17.7℃ isokom 온도가 높아졌다.

Pb(Zr1/2Ti1/2O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3계의 유전 및 압전 특성 (Dielectric and Piezoelectric Properties of Pb(Zr1/2Ti1/2)O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3 System)

  • 이형규;강형원;최지현
    • 한국세라믹학회지
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    • 제42권10호
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    • pp.698-702
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    • 2005
  • Dielectric and Piezoelectric properties of complex perovskite 0.92Pb($Zr_{1/2}Ti_{1/2})O_{3}-(0.08-x)Pb(Cu_{1/3}Nb_{2/3})O_{3}-xPb(Mn_{1/3}Nb_{2/3})O_{3}(0{\leq}x{\leq}0.080$) (PZT-PCN-PMN) system were investigated as a function of PMN content. With the increase of PMN content of the sintered specimens, tetragonal phase was coexisted with rhombohedral phase, the dielectric constant was decreased, mechanical quality factor ($Q_{m}$) was inceased, and optimal sintering temperature was increased up to 1050$^{\circ}C$. For the composition of x = 0.064 sintered at 1050$^{\circ}C$ for 2 h, 1939 of maximum mechanical quality factor ($Q_{m}$), 57$\%$ of electromechanical coupling factor ($k_{p}$), and 1100$^{\circ}C$ of dielectric constant, 0.37$\% $ of dielectric loss (tan $\delta$) were obtained.

'캠벨얼리' 포도의 화수(花穗) 생장과 과실품질에 미치는 GA3의 영향 (Effects of GA3 Dipping Treatment on the Spike Growth and Fruit Quality at Harvest of 'Campbell Early' Grapevine)

  • 이영철;문병우;남기웅;문영지
    • 현장농수산연구지
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    • 제15권1호
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    • pp.85-93
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    • 2013
  • 수확 시 과방의 생장(과방중, 과방장, 과방폭, 과병의 직경크기, 과병장)은 무처리에 비하여 GA3 10 mg·L-1 처리가 증가되었다. GA3 농도별 과립의 생장 (과립수, 과립중, 과립경, 과립장)은 차이가 없었으나 지경중은 무처리에 비하여 GA3 5, 10, 20, mg·L-1 처리 농도에서 증가되었다. 그러나 GA3 40 mg·L-1 처리는 차이가 없었다. 과립의 밀착정도, 과분 발생 정도, 가용성고형물 및 과피의 착색 정도는 큰 차이가 없었으나 무핵 정도는 GA3 10 mg·L-1 처리에서 다른 처리에 비하여 증가하였다. 과립의 열과 발생률은 무처리에 비하여 GA3 농도 5, 10, 20, 40 mg·L-1에서 현저하게 감소하였다. 과립의 탄저병 발생률은 큰 차이가 없었다. 과방당 총 지경장은 무처리, 20 및 40 mg·L-1 처리에 비하여 5 및 10 mg·L-1처리에서 현저하게 증가하였다. 지경 순서에 의한 1번 지경부터 15번 지경까지 지경장은 GA3 10 mg·L-1 처리는 증가하였다.

Electrochemical Performance of LiMn2O4 Cathodes in Zn-Containing Aqueous Electrolytes

  • Kamenskii, Mikhail A.;Eliseeva, Svetlana N.;Volkov, Alexey I.;Kondratiev, Veniamin V.
    • Journal of Electrochemical Science and Technology
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    • 제13권2호
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    • pp.177-185
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    • 2022
  • Electrochemical properties of LiMn2O4 cathode were investigated in three types of Zn-containing electrolytes: lithium-zinc sulfate electrolyte (1M ZnSO4 / 2M Li2SO4), zinc sulfate electrolyte (2MZnSO4) and lithium-zinc-manganese sulfate electrolyte (1MZnSO4 / 2MLi2SO4 / 0.1MMnSO4). Cyclic voltammetry measurements demonstrated that LiMn2O4 is electrochemically inactive in pure ZnSO4 electrolyte after initial oxidation. The effect of manganese (II) additive in the zinc-manganese sulfate electrolyte on the electrochemical performance was analyzed. The initial capacity of LiMn2O4 is higher in presence of MnSO4 (140 mAh g-1 in 1 M ZnSO4 / 2 M Li2SO4 / 0.1 M MnSO4 and 120 mAh g-1 in 1 M ZnSO4 / 2MLi2SO4). The capacity increase can be explained by the electrodeposition of MnOx layer on the electrode surface. Structural characterization of postmortem electrodes with use of XRD and EDX analysis confirmed that partially formed in pure ZnSO4 electrolyte Zn-containing phase leads to fast capacity fading which is probably related to blocked electroactive sites.