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EXISTENCE OF SOLUTIONS FOR FRACTIONAL p&q-KIRCHHOFF SYSTEM IN UNBOUNDED DOMAIN

  • Bao, Jinfeng;Chen, Caisheng
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1441-1462
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    • 2018
  • In this paper, we investigate the fractional p&q-Kirchhoff type system $$\{M_1([u]^p_{s,p})(-{\Delta})^s_pu+V_1(x){\mid}u{\mid}^{p-2}u\\{\hfill{10}}={\ell}k^{-1}F_u(x,\;u,\;v)+{\lambda}{\alpha}(x){\mid}u{\mid}^{m-2}u,\;x{\in}{\Omega}\\M_2([u]^q_{s,q})(-{\Delta})^s_qv+V_2(x){\mid}v{\mid}^{q-2}v\\{\hfill{10}}={\ell}k^{-1}F_v(x,u,v)+{\mu}{\alpha}(x){\mid}v{\mid}^{m-2}v,\;x{\in}{\Omega},\\u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}{\subset}{\mathbb{R}}^N$ is an unbounded domain with smooth boundary ${\partial}{\Omega}$, and $0<s<1<p{\leq}q$ and sq < N, ${\lambda},{\mu}>0$, $1<m{\leq}k<p^*_s$, ${\ell}{\in}R$, while $[u]^t_{s,t}$ denotes the Gagliardo semi-norm given in (1.2) below. $V_1(x)$, $V_2(x)$, $a(x):{\mathbb{R}}^N{\rightarrow}(0,\;{\infty})$ are three positive weights, $M_1$, $M_2$ are continuous and positive functions in ${\mathbb{R}}^+$. Using variational methods, we prove existence of infinitely many high-energy solutions for the above system.

A Study on the Demand for Ubiquitous Computing Services (유비쿼터스 서비스 수요에 관한 연구)

  • KIm, Ji-Soo;Kim, Jong-Myoung;Lee, Tae-Soo
    • Journal of the Korea Society of Computer and Information
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    • v.12 no.4
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    • pp.103-110
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    • 2007
  • Ubiquitous computing is a vogue word, and its service is very popular in Korea. However, present ubiquitous service(u-Service) is thought to be more oriented to the provider's point of view, not the consumer's. To complement this problem, an online survey was performed for internet users, which consists of 24 single choice questions on six fields such as transportation, healthcare, environment/city-management, culture/education, administration, and industry. 2463 people joined the survey, who were grouped according to their age, resident region, level of education, and sex. Each group's demand for specific field of u-Service was examined. General level of demand was higher in case of the elderly and male than the younger and female for overall u-Service.

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COMPARATIVE ANALYSIS OF STRUCTURAL CHANGES IN U-MO DISPERSED FUEL OF FULL-SIZE FUEL ELEMENTS AND MINI-RODS IRRADIATED IN THE MIR REACTOR

  • Izhutov, Aleksey.L.;Iakovlev, Valeriy.V.;Novoselov, Andrey.E.;Starkov, Vladimir.A.;Sheldyakov, Aleksey.A.;Shishin, Valeriy.Yu.;Kosenkov, Vladimir.M.;Vatulin, Aleksandr.V.;Dobrikova, Irina.V.;Suprun, Vladimir.B.;Kulakov, Gennadiy.V.
    • Nuclear Engineering and Technology
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    • v.45 no.7
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    • pp.859-870
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    • 2013
  • The paper summarizes the irradiation test and post-irradiation examination (PIE) data for the U-Mo low-enriched fuel that was irradiated in the MIR reactor under the RERTR Program. The PIE data were analyzed for both full-size fuel rods and mini-rods with atomized powder dispersed in Al matrix as well as with additions of 2%, 5% and 13% of silicon in the matrix and ZrN protective coating on the fuel particles. The full-size fuel rods were irradiated up to an average burnup of ${\sim}60%^{235}U$; the mini-rods were irradiated to an average burnup of ${\sim}85%^{235}U$. The presented data show a significant increase of the void fraction in the U-Mo alloy as the U-235 burnup rises from ~ 40% up to ~ 85%. The effect of irradiation test conditions and U-235 burnup were analyzed with regard to the formation of an interaction layer between the matrix and fuel particles as well as generation of porosity in the U-Mo alloy. Shown here are changes in distribution of U fission products as the U-235 burnup increases from ~ 40% up to ~ 85%.

THE EFFECT OF SI-RICH LAYER COATING ON U-MO VS. AL INTERDIFFUSION

  • Ryu, Ho-Jin;Park, Jae-Soon;Park, Jong-Man;Kim, Chang-Kyu
    • Nuclear Engineering and Technology
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    • v.43 no.2
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    • pp.159-166
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    • 2011
  • Si-rich-layer-coated U-7 wt%Mo plates were prepared in order to evaluate the diffusion barrier performance of the Si-rich layer in U-Mo vs. Al interdiffusion. Pure Si powder was used for coating the U-Mo plates by annealing at $900^{\circ}C$ for 1 h under vacuum of approximately 1 Pa. Si-rich layers containing more than 60 at% of Si were formed on U-7 wt%Mo plates. Diffusion couple tests were conducted in a muffle furnace at $560-600^{\circ}C$ under vacuum using Si-rich-layer-coated U-Mo plates and pure Al plates. Diffusion couple tests using uncoated U-Mo plates and Al-(0, 2 or 5 wt%)Si plates were also conducted for comparison. Si-rich-layer coatings were more effective in suppressing the interaction during diffusion couple tests between coated U-Mo plate and Al, when compared with U-Mo vs. Al-Si diffusion couples, since only small amounts of Al in the coating could be found after the diffusion couple tests. Si-rich-layer-coated U-7wt%Mo particles were also prepared using the same technique for U-7 wt%Mo plates to observe the microsturctures of the coated particles.

Development of Questionnaires for Differentiation of $q{\grave{i}}-x{\bar{u}}$, $xu{\grave{e}}-x{\bar{u}}$, $yang-x{\bar{u}}$, $y{\bar{i}}n-x{\bar{u}}$ analysis (기혈음양허손(氣血陰陽虛損) 변증(辨證) 분석을 위한 설문문항 개발)

  • Woo, Hong-Jung;Kim, Se-Hoon;Lee, Seung-Bo;Choi, Mi-Young;Kim, Young-Chul;Lee, Jang-Hoon
    • The Journal of Internal Korean Medicine
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    • v.29 no.4
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    • pp.856-870
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    • 2008
  • Objectives : Consumption is a chronic wasting disease and major portion of Oriental Medicine's therapy. However, there is no standard diagnostic method for consumption that is $q{\grave{i}}-x{\bar{u}}$, $xu{\grave{e}}-x{\bar{u}}$, $yang-x{\bar{u}}$, $y{\bar{i}}n-x{\bar{u}}$. Methods : A questionnaire which includes symptoms and signs for diagnosis of $q{\grave{i}}-x{\bar{u}}$, $xu{\grave{e}}-x{\bar{u}}$, $yang-x{\bar{u}}$, $y{\bar{i}}n-x{\bar{u}}$ was evaluated by Delphi technique. Each question was valuated by interviewing 27 oriental medicine doctors. Then. we choose questions given over 5 points and reorganized some items according to the recommendations by interviewed-doctors. We then accessed the value of re-organized questions composing of the questionnaires. Conclusion : We finally chose each 9 items of $q{\grave{i}}-x{\bar{u}}$, $xu{\grave{e}}-x{\bar{u}}$, $yang-x{\bar{u}}$, $y{\bar{i}}n-x{\bar{u}}$'s questionnaire. Further study is necessary for modification of questionnaire by statistics and certification by clinical trial.

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The Effects of the Pre-Operation Provision of Information on the Anxiety and Uncertainty of Mothers with a Pre-school Child of Tonsillectomy and their Satisfaction with Post-operation Nursing (수술 전 정보제공이 학령전기 편도선절제술 환아 어머니의 불안, 불확실성 및 수술 후 간호만족도에 미치는 효과)

  • Jeong, Kyeong-Sook;Park, Jin-Ock
    • The Journal of the Korea Contents Association
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    • v.16 no.1
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    • pp.158-166
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    • 2016
  • This study is a nonequivalent control group pre- and post-test design research whose purpose was to determine what effects the pre-operation provision of information has on the anxiety and uncertainty of mothers with a pre-school child of tonsillectomy and nursing satisfaction after the operation. Data were collected from mothers whose child underwent tonsillectomy at S general hospital. For the collection, those mothers were divided into the experimental and control groups, respectively consisting of 19 and 20 members. The experimental group was provided general education about the operation. In addition, they individually received information about the procedure that the researcher and an assistant provided on one-to-one basis for about 20 minutes, in which brochures containing the information were used. While, the control group was provided only general education as mentioned above. For data analysis, this study conducted ${\chi}^2$-test, Fisher's exact test and Mann-Whitney U-test. The pre-operation provision of information was found having brought significant differences between the control and experimental groups in their anxiety(U=104.5, p=.015) and uncertainty(U=83.5, p=.002) as well as their satisfaction after the operation(U=109.5, p=.022). The findings of this study strongly suggest that information provision before the operation is positively effective in reducing the anxiety and uncertainty of mothers with a tonsillectomy child and increasing their nursing satisfaction after the operation. These effects need to be more verified through repetitive and subsequent researches and by using many other methods of information provision.

A design and manufacture of CPW-Fed UWB antenna with notched WLAN band by using a U shaped slot (U자형 슬롯을 사용하여 WLAN 대역이 제거된 CPW 급전 방식을 갖는 UWB 안테나 설계 및 제작)

  • Ha, Yun-Sang;Kim, Gi-Rae;Yun, Joong-Han
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.11
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    • pp.2518-2525
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    • 2015
  • In this paper, we propose a UWB(Ultra Wide Band) antenna with CPW(Coplanar Waveguide) structure notched the 802.11a(5.15 ~ 5.825 GHz) band by using the U shaped slot. The proposed antenna not only shows Ultra-Wideband characteristic(3.1 ~ 10.6 GHz) suitable for UWB communications but has partially notched-band characteristic to reject 5 GHz WLAN band(5.15 ~ 5.825 GHz). The antenna is designed on an FR-4 substrate of which the dielectric constant is 4.4, and its overall size is $30mm(W){\times}20mm(L){\times}1mm(t)$. Fabricated antenna satisfied $VSWR{\leq}2$ in 3.1 ~ 10.6 GHz except for the band rejection of 5.15 ~ 5.825 GHz. And measured results of gain and radiation patterns characteristics displayed determined for operating bands.

Utility Evaluation of Two-point Calibration Curve applied for TSH, FT4 Tests (TSH, FT4 검사의 Two-point Calibration Curve 적용의 유용성 평가)

  • Park, Hye-Mi;Yoo, Seon-Hee;Lee, Seon-Ho;Kim, Nyun-Ok
    • The Korean Journal of Nuclear Medicine Technology
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    • v.20 no.2
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    • pp.75-79
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    • 2016
  • Purpose The ASAN Medical Center, Nuclear Medicine performs TSH (Thyroid stimulating hormone) and FT4 (Free Thyroxine) tests 8 times per day. Accordingly, 70 ~ 80 kit tubes are consumed every day for the measurements and the time consumed for reagent dispensing averages over 170 seconds, where the TAT (turnaround time) may be effected when the number of test samples is larger than expected. Therefore, the following test was conducted with the purpose to reduce the number of kit tubes consumed, and reduce the time for reagent dispensing. Materials and Methods The test is based on applying the same reagent for tests where the number of samples is 30 or less. The test for TSH was conducted 9 times from July $1^{st}$ 2015 to July $10^{th}$ 2015. The test for FT4 was conducted 4 times from June $18^{th}$ 2015 to June $22^{nd}$, 2015. Standard Solution No.2 (0.153 uU/mL) and No.5 (4.96 uU/mL) was selected as the two-point standards for the TSH test, and Standard Solution No.3 (0.777 ng/dL) and No.4 (2.044 ng/dL) was selected as the two-point standards for the FT4 test. 38 test samples were subject to correlation analysis. Results For TSH, the result of the normal test shows ranges of 0.20 ~ 0.37 uU/mL for Control1, 0.53 ~ 0.71 uU/mL for Control2, and 6.77 ~ 7.94uU/mL for Control3, while the result of two-point calibration curve test shows ranges of 0.18 ~ 0.27 uU/mL for Control1, 0.53 ~ 0.71 uU/mL for Control2, and 7.30 ~ 8.52 uU/mL for Control3. For FT4, the result of the normal test shows ranges of 0.85 ~ 0.94 ng/dL for Control1 and 4.23 ~ 4.57 ng/dL for Control2, while the result of two-point calibration curve test shows ranges of 0.61 ~ 0.75 ng/dL for Control1 and 3.88 ~ 5.71 ng/dL for Control2. For TSH, the CV% of the normal test for Control1, Control2 and Control3 are 10.5, 3.3 and 3.6 respectively, while the CV% of the two-point calibration curve test for Control1 and Control1 are 12.4, 8.2 and 5.1 respectively. The result shows an outstanding correlation of TSH: y = 0.9985x - 0.0459 $R^2=0.9986$. For FT4, the CV% of the normal test for Control1 and Control2 are 0.70 and 0.71 respectively, while the CV% of the two-point calibration curve test for Control1 and Control1 are 8.7 and 16.2 respectively. The result shows an outstanding correlation of FT4: y = 1.2674x - 0.1133 $R^2=0.9824$. Conclusion The two-point calibration curve can be efficiently applied for TSH in cases where the number of test samples is not large, since the number of samples to be re-tested increases when the result is abnormal from the calibration curve. The two-point calibration curve test should not be applied for FT4 where the results do not consistently comply with the quality assessment range. Depending on how the two-point calibration curve is applied, up to 5 test tubes can be conserved per test, and the reduced time for reagent dispensing is anticipated to have a positive effect on the TAT (turnaround time).

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NUMERICAL SIMULATION OF THE FLOW CHARACTERISTICS INSIDE A U-TYPE TUBE (U-자형 곡관내의 유동특성에 대한 수치해석적 연구)

  • Koh, D.H.;Kang, D.J.;Song, D.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.97-103
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    • 2009
  • A numerical study of the flow characteristics inside a U-type circular tube is carried out in this paper. The numerical simulations carried out by using a Navier-Stokes code which is commercially available. Before detailed numerical simulations, validation of present numerical approach is made by comparing numerical solutions with experimental data. Numerical simulations are performed to study the effect of curvature on the flow characteristics inside a U-type tube. Numerical solutions show that a significant effect on the secondary flow structure in the cross section of the tube, especially in the curved section is shown when the curvature ratio, ratio of curvature to tube diameter, is smaller than about 3.5. As the curvature ratio decreases below 3.5, a counter rotating vortex is found below the primary vortex in the cross section of the tube. Another dramatic change of the flow structure is the formation of streamwise separation zone when the curvature ratio is decreased below 1.25.

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SHRIMP V-Pb Zircon Age of a Felsic Meta-tuff in the Ogcheon Metamorphic Belt, Korea: Neoproterozoic (ca. 750 Ma) Volcanism (옥천변성대 규장질 변성응회암의 SHRIMP U-Pb 저어콘 연대: 신원생대(약 7.5억년전) 화산활동)

  • 조문섭;김태훈;김현철
    • The Journal of the Petrological Society of Korea
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    • v.13 no.3
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    • pp.119-125
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    • 2004
  • Using a SHRIMP ion microprobe, we have dated zircon grains of a felsic meta-tuff from the so-cal1ed Munjuri Formation, Ogcheon metamorphic belt. The weighted mean $^{206}$ Pb/$^{238}$ U zircon ages obtained from 13 spot analyses of 10 grains provide an essentially concordant age of 747${\pm}$7Ma. This result corroborates the conventional U-Pb zircon age (756${\pm}$1Ma; Lee et al., 1998) for the Neoproterozoic bimodal volcanism in the Ogcheon belt. Thus, proto-basins associated with intracontinental, high-volcanicity rift in the Ogcheon belt are most likely to have formed at ca. 750 Ma.