• Title/Summary/Keyword: $u_2$

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The Characteristics of Desulfurization using Metal Oxides in a Fluidized Bed Reactor (금속산화물을 이용한 유동층반응기에서 배연탈황특성)

  • Park, Tae Sung;Hong, Sung Chang
    • Applied Chemistry for Engineering
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    • v.9 no.2
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    • pp.278-285
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    • 1998
  • In a fixed bed reactor, adsorption capacity of $SO_2$ in simulated flue gases was investigated with NMO(natural manganese ore), composed of various metal oxides, iron ore and $CuO/{\gamma}-Al_2O_3$ as adsorbents. The experiment carried out in a fluidized bed reactor with variables such as gas velocity, temperature and particle size. Iron ore was excluded in the fluidized bed reactor experiment for the lower adsorption capacity. The adsorption of $SO_2$ in metal oxide is a typical chemisorption because the adsorption capacity of all adsorbents increased with temperature. The effect of particle size on the adsorption capacity was varied with the ratio, $U_o/U_{mf}$ and the difference of $U_o-U_{mf}$. $U_o$ is the gas velocity, $U_{mf}$ is the minimum fluidization gas velocity. $U_o/U_{mf}$ and $U_o-U_{mf}$ explain the behavior of the gas and solids in the fluidized bed reactor. From the performance equation of the fluidized bed reactor, kinetic reaction rate constants were obtained by the non-linear least square method. The adsorption capacity of NMO proved the potential use of $SO_2$ adsorbents.

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Effects of Ukgansan Pharmacopuncture at GB20 on Cognitive Impariment Induced by Focal Brain Injury in Rats (풍지(風池)(GB20) 억간산(抑肝散) 약침이 국소 뇌손상으로 유발된 흰쥐의 인지장애에 미치는 영향)

  • Lee, Jung Hun;Yang, Tae Jun;Jeong, Sang Jun;Wei, Tung Shuen
    • Journal of Acupuncture Research
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    • v.33 no.3
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    • pp.101-116
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    • 2016
  • Objectives : This research was performed to investigate the effects of Ukgansan pharmacopuncture(U-PA) of focal brain ischemia induced by middle cerebral artery occlusion(MCAO) in rats. Methods : The subjects were divided into 5 groups : A control group, acupuncture group, pharmacopuncture group U-PA1($2.571mg/250g/40{\mu}{\ell}$), pharmacopuncture group U-PA2($6.428mg/250g/40{\mu}{\ell}$), and pharmacopuncture group U-PA3($12.855mg/250g/40{\mu}{\ell}$). The focal brain ischemia was induced by intraluminal filament insertion into the middle cerebral artery. After 3 days of MCAO, Ukgansan(UGS) pharmacopuncture treatment was performed on the GB20, and the day after being treated with pharmacopuncture, the Morris water maze test was carried out by the assigned group. The series of processes were treated 6 times. Thereafter Bax, Bcl-2, Bax/Bcl-2 ratio, mGluR5, density of neuronal cell, and ChAT were measured. Results : The results were as follows. 1. The intensity of Bax significantly decreased in the U-PA1, U-PA2, U-PA3 groups. 2. The Bax/Bcl-2 ratio significantly decreased in the U-PA3 group compared with the control group. 3. The neuroprotective effect on the hippocampal CA1 significantly increased in the U-PA1, U-PA2, U-PA3 groups compared with the control group. 4. The density of ChAT in the hippocampal CA1 significantly increased in the U-PA1, U-PA2, U-PA3 groups compared with the control group. Conclusion : These results suggest that UGS pharmacopuncture may have anti-apoptotic and neuroprotective effects on focal cerebral ischemia caused by intraluminal filament insertion into the middle cerebral artery in rats.

Effect of Ce$O_2$ Addition and Powder Treatment on the Sintering of U$O_2$ Powder (Ce$O_2$첨가 및 분말처리가 U$O_2$ 분말의 소결에 미치는 영향)

  • Kim, Hyeong-Su;Lee, Yeong-U;Choe, Chang-Beom;Yang, Myeong-Seung;Jeon, Pung-Il
    • Korean Journal of Materials Research
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    • v.3 no.3
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    • pp.245-252
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    • 1993
  • We investigated the changes of (U, Ce)$O_2$ powder characteristics with $CeO_2$ contents and ball-milling time and then studied on the sintering properties with those (U, Ce)$O_2$ powder characteristics. From the results of this study, it was concluded that the longer ball-milling time of (U, Ce)$O_2$ powder was, the finer its particle size was. Green and sintered densities were decreased with $CeO_2$ contensts increase. And also $CeO_2$ was recongized deteriorating oxide on the $UO_2$ sintering. In case of the lOwt. % $CeO_2$ contents, (U, Ce)$O_2$ sintered pellet which was made of ball-milled powder for 4 hours had few pores and its pores got near to the sphere. And its sintered density had the highest. Because its powder had higher surface area and its packing ratio was appropriated much better than others.

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POSITIVE SOLUTIONS FOR A THREE-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN WITH A PARAMETER

  • YANG, YITAO;ZHANG, YUEJIN
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.269-284
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    • 2016
  • In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

u-GIS National Land Information Providing System (u-GIS 국토정보 제공 시스템)

  • Kim, Jae-Chul;Lee, Kyu-Chul
    • Journal of Korea Spatial Information System Society
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    • v.11 no.1
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    • pp.1-8
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    • 2009
  • The u-GIS national land information providing technology is the technology which maximizes the application of u- GIS data through the national land information platform technique of the next generation web and provides a user with the on-demand national land information in the ubiquitous environment. Recently, as the environment emphasizing the web as a platform 'Web 2.0' emerges, the where 2.0 which is paradigm is diffused in the spatial information area. And the Geo-spatial Web technology develops in a center. Moreover, it is changed to the open platform of the user participation trend. And the consumer of the geo-spatial information is changed to the end-user center from the public institution. The geo-spatial technique is technologically faced with the new challenge. In this paper, we analyze the technical tendency about a paradigm, And we present the u-GIS national land information platform technique, the u-GIS national land information visualization technology, the u-GIS national land information GeoDRM integrative technique, and the u-GIS national land information mobile application technology as the essential elemental technology for overcoming this.

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SYMMETRY OF COMPONENTS FOR RADIAL SOLUTIONS OF γ-LAPLACIAN SYSTEMS

  • Wang, Yun
    • Journal of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.305-313
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    • 2016
  • In this paper, we give several sufficient conditions ensuring that any positive radial solution (u, v) of the following ${\gamma}$-Laplacian systems in the whole space ${\mathbb{R}}^n$ has the components symmetry property $u{\equiv}v$ $$\{\array{-div({\mid}{\nabla}u{\mid}^{{\gamma}-2}{\nabla}u)=f(u,v)\text{ in }{\mathbb{R}}^n,\\-div({\mid}{\nabla}v{\mid}^{{\gamma}-2}{\nabla}v)=g(u,v)\text{ in }{\mathbb{R}}^n.}$$ Here n > ${\gamma}$, ${\gamma}$ > 1. Thus, the systems will be reduced to a single ${\gamma}$-Laplacian equation: $$-div({\mid}{\nabla}u{\mid}^{{\gamma}-2}{\nabla}u)=f(u)\text{ in }{\mathbb{R}}^n$$. Our proofs are based on suitable comparation principle arguments, combined with properties of radial solutions.

ON THE MULTIPLE POSITIVE SOLUTIONS TO A QUASILINEAR EQUATION

  • Sang Don Park;Soo Hyun Bae;Dae Hyeon Pahk
    • Communications of the Korean Mathematical Society
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    • v.12 no.2
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    • pp.221-236
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    • 1997
  • In this paper we investigate the multiplicity of positive solutions to a quasilinear Neumann problem; $$ {\varepsilon^m div($\mid$\bigtriangledown_u$\mid$^{m-2}\bigtriangledown_u) - u$\mid$u$\mid$^{m-2} + u$\mid$u$\mid$^{m-2} + u$\mid$u$\mid$^{p-2} = 0 in \omega $$ $$ \frac{\partial u}{\partial \nu} = 0 on \partial \omega, $$ making use of Ljusternik Schnirelmann category theory.

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A LIOUVILLE THEOREM OF AN INTEGRAL EQUATION OF THE CHERN-SIMONS-HIGGS TYPE

  • Chen, Qinghua;Li, Yayun;Ma, Mengfan
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1327-1345
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    • 2021
  • In this paper, we are concerned with a Liouville-type result of the nonlinear integral equation of Chern-Simons-Higgs type $$u(x)=\vec{\;l\;}+C_{\ast}{{\displaystyle\smashmargin{2}{\int\nolimits_{\mathbb{R}^n}}}\;{\frac{(1-{\mid}u(y){\mid}^2){\mid}u(y){\mid}^2u(y)-\frac{1}{2}(1-{\mid}u(y){\mid}^2)^2u(y)}{{\mid}x-y{\mid}^{n-{\alpha}}}}dy.$$ Here u : ℝn → ℝk is a bounded, uniformly continuous function with k ⩾ 1 and 0 < α < n, $\vec{\;l\;}{\in}\mathbb{R}^k$ is a constant vector, and C* is a real constant. We prove that ${\mid}\vec{\;l\;}{\mid}{\in}\{0,\frac{\sqrt{3}}{3},1\}$ if u is the finite energy solution. Further, if u is also a differentiable solution, then we give a Liouville type theorem, that is either $u{\rightarrow}\vec{\;l\;}$ with ${\mid}\vec{\;l\;}{\mid}=\frac{\sqrt{3}}{3}$, when |x| → ∞, or $u{\equiv}\vec{\;l\;}$, where ${\mid}\vec{\;l\;}{\mid}{\in}\{0,1\}$.

Effect of ${Gd_2}{O_3}$ Addition on the Sintered Density and Resintered Density in <${UO_2}-{Gd_2}{O_3}$ Pellets (${UO_2}-{Gd_2}{O_3}$소결체에서 ${Gd_2}{O_3}$첨가가 소결 및 재소결밀도에 미치는 영향)

  • Baek, Jong-Hyeok
    • Korean Journal of Materials Research
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    • v.5 no.3
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    • pp.364-370
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    • 1995
  • ex-AUC U$O_{2}$ 분말과 $Gd_{2}$O_{3}$ 분말을 기계적으로 혼합하여 소결한 U$O_{2}$-$Gd_{2}$O_{3}$ 소결체의 밀도 변화와 재소결 후 밀도변화를 기공크기 및 분포의 변화로 서술하였다. 수소분위기에서 175$0^{\circ}C$, 4시간 동안 소결하였을 때, 순수 U$O_{2}$의 소결밀도는 97.2% T.D.였으나 6wt% $Gd_{2}$O_{3}$ 첨가까지는 U$O_{2}$-$Gd_{2}$O_{3}$의 소결밀도는 $U^{+4}$와 $Gd^{+4}$의 상호확산 때문에 약 90% T.D.로 급격히 감소하였다. 그러나 6wt% 이상의 $Gd_{2}$O_{3}$가 첨가되면 우라늄이온 산화아와 산소침입으로 인하여 소결밀도는 오히려 증가하였다. 1$700^{\circ}C$에서 재소결시킬 때 순수 U$O_{2}$ 소결체에서는 재소결 시간에 따라 밀도증가가 발생하였다. U$O_{2}$-$Gd_{2}$O_{3}$ 소결체 경우에는 재소결시 밀도가 감소하였으나 재소결 시간이 증가함에 따라 다시 밀도는 증가하였고, 6wt%$Gd_{2}$O_{3}$가 첨가된 U$O_{2}$-$Gd_{2}$O_{3}$ 소결체에서 밀도가 가장 많이 감소하였다.

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EXISTENCE AND CONCENTRATION RESULTS FOR KIRCHHOFF-TYPE SCHRÖ DINGER SYSTEMS WITH STEEP POTENTIAL WELL

  • Lu, Dengfeng
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.661-677
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    • 2015
  • In this paper, we consider the following Kirchhoff-type Schr$\ddot{o}$dinger system $$\{-\(a_1+b_1{\int}_{\mathbb{R^3}}{\mid}{\nabla}u{\mid}^2dx\){\Delta}u+{\gamma}V(x)u=\frac{2{\alpha}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha-2}u{\mid}v{\mid}^{\beta}\;in\;\mathbb{R}^3,\\-\(a_2+b_2{\int}_{\mathbb{R^3}}{\mid}{\nabla}v{\mid}^2dx\){\Delta}v+{\gamma}W(x)v=\frac{2{\beta}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha}{\mid}v{\mid}^{\beta-2}v\;in\;\mathbb{R}^3,\\u,v{\in}H^1(\mathbb{R}^3),$$ where $a_i$ and $b_i$ are positive constants for i = 1, 2, ${\gamma}$ > 0 is a parameter, V (x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concentration of ground state solutions when the parameter ${\gamma}$ is sufficiently large.