• 제목/요약/키워드: critical concentration

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EXISTENCE AND NON-EXISTENCE FOR SCHRÖDINGER EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

  • Zou, Henghui
    • 대한수학회지
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    • 제47권3호
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    • pp.547-572
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    • 2010
  • We study existence of positive solutions of the classical nonlinear Schr$\ddot{o}$dinger equation $-{\Delta}u\;+\;V(x)u\;-\;f(x,\;u)\;-\;H(x)u^{2*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$. In fact, we consider the following more general quasi-linear Schr$\ddot{o}$odinger equation $-div(|{\nabla}u|^{m-2}{\nabla}u)\;+\;V(x)u^{m-1}$ $-f(x,\;u)\;-\;H(x)u^{m^*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$, where m $\in$ (1, n) is a positive number and $m^*\;:=\;\frac{mn}{n-m}\;>\;0$, is the corresponding critical Sobolev embedding number in $\mathbb{R}^n$. Under appropriate conditions on the functions V(x), f(x, u) and H(x), existence and non-existence results of positive solutions have been established.

INFINITELY MANY SMALL SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL SOBOLEV AND HARDY EXPONENTS

  • Liang, Sihua;Zhang, Jihui;Fan, Fan
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1143-1156
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    • 2010
  • In this paper, we study the following p&q-Laplacian problem with critical Sobolev and Hardy exponents {$-{\Delta}_pu-{\Delta}_qu={\mu}\frac{{\mid}u{\mid}^{p^*(s)-2}u}{{\mid}x{\mid}^s}+{\lambda}f(x,\;u)$, in $\Omega$, u=0, on $\Omega$, where ${\Omega}\;{\subset}\;\mathbb{R}^{\mathbb{N}}$ is a bounded domain and ${\Delta}_ru=div({\mid}{\nabla}u{\mid}^{r-2}{\nabla}u)$ is the r-Laplacian of u. By using the variational method and concentration-compactness principle, we obtain the existence of infinitely many small solutions for above problem which are the complement of previously known results.

슬러지침전속도를 고려한 새로운 슬러지침전특성지표의 설정에 관한 연구 (New Sludge Settling Characteristic Index Considering Sludge Settling Velocity)

  • 박석균;강선홍;김동하
    • 상하수도학회지
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    • 제20권3호
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    • pp.451-460
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    • 2006
  • While sludge settles down in a batch column, sludge concentration becomes high. Sludge concentration change is one of the most critical causes of the sludge settling velocity variation. Therefore, sludge concentration change causes sludge index to change. SVI is more sensitive than other sludge indexes to the change of sludge concentration. And if sludge-water interface has reached final height within 30minutes, SVI is not suitable for prediction of sludge settling characteristic, Therefore, SVIs of each sludge are, in some cases, different although each sludge has the same settling velocity. But SVI has been widely used to interpret sludge settling characteristic by a simple testing method. This work has two purposes. The first purpose is to predict sludge settling velocity by using sludge-water interface settling velocity. And the second purpose is to develop new sludge settling characteristic index to exactly interpret sludge settling characteristic by overcoming the limit of SVI.

흡기조성 변화에 따른 디젤 기관의 연소 특성 변화 (A Study on the Combustion Characteristics of Diesel Engine by the Change of the Intake Air Composition)

  • 김세원;임재문
    • Journal of Advanced Marine Engineering and Technology
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    • 제18권2호
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    • pp.91-96
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    • 1994
  • Intake gases other than air, which is composed of oxygen, nitrogen, carbon dioxide, and argon, are used to study their effects on the performance of the diesel engine experimentally. The engine is operated at constant speed and fixed fuel injection timing, and cylinder pressure and heat release rate are measured at various intake gas compositions. The results show that increase of oxygen concentration improves the performance of the engine generally. The adverse effect is observed when the oxygen concentration is increased over the critical oxygen concentration of this test, mainly because of the over-shortened ignition delay. Increase of carbon dioxide concentration degardes the performance of the engine, mainly due to the lower specific heat ratio of carbon dioxide. Adding argon gas to the intake gas improves the overall performance. Finally, it is found that two most influencing factors affecting the performance of the diesel engine in this study are ignition delay and speific heat ratio of the intake gas.

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Guanosine Regulates Germinal Vesicle Breakdown (GVBD) in Mouse Oocytes

  • Cheon Yong-Pil
    • Reproductive and Developmental Biology
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    • 제28권4호
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    • pp.267-273
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    • 2004
  • Maturation of oocytes is maintained by complex procedures along with follicular genesis and is a critical step for embryonic development. Purine known as an oocyte maturation regulator is present in follicular fluid. In this study, the roles of guanosine as a strong inhibitor of GVBD and a modulator of cyclic GMP concentration in ooyctes were revealed. Denuded immature oocytes were treated with guanosine, and the maturation rates and cGMP concentration of oocytes were measured. GVBD was blocked in a concentration dependent manner by guanosine, but this effect was reversible. However, GVBD was lagged yet not significant by adenosine. Both guanosine and adenosine modified cGMP concentration in oocytes. The characteristic of the guanosine-treated oocyte was significantly higher cGMP compared with the adenosine-treated oocyes at initial time of the maturation. Based these results, guanosine may be a strong and reversible GVBD inhibitor. Although the precise mechanism of guanosine presently is unclear, the results suggest that guanosine may lead the accumulation of cGMP in oocyte cytoplasm, which in turn suppresses GVBD.

이중확산 대류계에서의 부력효과에 관한 연구(II) - 이론적 연구 - (A Study on Buoyancy Effects in Double-Diffusive Convecting System(II) - Theoretical Study -)

  • 홍남호;김민찬;현명택
    • 한국해양공학회지
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    • 제13권2호통권32호
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    • pp.129-137
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    • 1999
  • The time of the onset of double-diffusive convection in time-dependent, nonlinear concentration fields is investigated theoretically. The initially quiescent horizontal fluid layer with a uniform temperature gradient experiences a sudden concentration change from below, but its stable thermal stratification affects concentration effects in such way to invoke convective motion. The related stability analysis, including Soret effect, is conducted on the basis of the propagation theory. Under the linear stability theory the concentration penetration depth is used as a length scaling factor, and the similarity transform for the linearized perturbation equations. The newlly obtained stability equations are solved numerically. The resulting critical time to mark the onset of regular cells are obtained as a function of the thermal Rayleigh number, the solute Rayleigh number, and the Soret effect coefficient. For a certain value of the Soret effect coefficient, the stable thermal gradient promote double-diffusive convective motion.

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비소세포폐암주에서 산소 농도에 따른 미세 배양 환경과 세포 증식능 (Microenvironments and Cellular Proliferation Affected by Oxygen Concentration in Non-Small Cell Lung Cancer Cell Line)

  • 신종욱;전은주;곽희원;송주한;이영우;정재우;최재철;김재열;박인원;최병휘
    • Tuberculosis and Respiratory Diseases
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    • 제63권3호
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    • pp.242-250
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    • 2007
  • 배경 및 목적: 암세포는 빠른 증식 속도로 인하여 상대적인 저산소증에 노출되면서 비정상적인 종양 혈관을 형성하여 치명적인 병인을 형성한다. 저산소증에서의 암세포 내의 유전자 표현을 연구하는 것은 병인의 규명과 나아가 치료에 결정적인 단초를 제공할 수 있다. 이에 본 연구에서는 체외 배양한 비소세포폐암의 증식과 저산소증 상태에 대한 연구를 시행하였다. 재료 및 방법: 비소세포폐암주인 A549를 RPMI 배지에서 계대 배양하였다. 저산소 유사 상태는 Modular Incubator Chamber(MIC-101)을 이용하였고 5% 이산화탄소와 95% 질소 혼합 가스를 5분간 공급하여 저산소 상태를 만들었으며 세포 배양액을 채취하여 혈액가스분석기(Blood Gas Analyzer ABL 725)로 세포 배양 상태를 측정하였다. 대조군으로 5% $CO_2$와 멸균한 대기 공기 95%가 혼합된 가스를 사용하였다. 세포의 증식 상태는 MTT 방법을 실시하였다. 결과: 1. MIC-101을 이용하였을 때, 무산소혼합가스를 투여 후 30분에 50%의 산소 분압저하를 확인하였으며, 대기 가스에 의해 산소농도를 회복하는 것을 볼 수 있었다. 2. 무산소 혼합가스로 정화(purging)를 하면 산소의 분압을 더 낮출 수 있었다. 3. 저산소 상태에서 세포 배양액 내에는 pH 감소, 젖산 증가, 포도당의 감소와 같은 미세환경이 변하였다. 4. 세포배양액에 따라 저산소에 의해 유도되는 포도당 저하에 차이가 있었다. 5. 비소세포폐암주는 저산소에 의해 증식능이 억제되었다. 결론: 저산소 상태는 세포 배양액 내 포도당 농도의 감소, 젖산의 증가, pH의 감소 등 세포 배양 미세 환경을 변화시키며, 비소세포폐암세포는 증식이 억제된다. 저산소는 미세 환경 변화와 함께 직접적으로 그리고 간접적으로 비소세포의 증식능에 영향을 미친다.

Treatment of high-salinity wastewater after the resin regeneration using VMD

  • Gao, Junyu;Wang, Manxiang;Yun, Yanbin
    • Membrane and Water Treatment
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    • 제9권1호
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    • pp.53-62
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    • 2018
  • In this study, vacuum membrane distillation (VMD) was used to treat high-salinity wastewater (concentration about 17%) discharged by chlor-alkali plant after resin regeneration. The feasibility of VMD for the treatment of real saline wastewater by using Polyvinylidene fluoride (PVDF) microporous plate membrane with a pore diameter of $0.2{\mu}m$ was investigated. The effects of critical operating parameters such as feed temperature, velocity, vacuum degree and concentration on the permeate water flux were analyzed. Numerical simulation was used to predict the flux and the obtained results were in good agreement with the experimental data. The results showed that an increase in the operating conditions could greatly promote the permeate water flux which in turn decreased with an increase in the concentration. When the concentration varied from 17 to 25%, the permeate water flux dropped marginally with time indicating that the concentration was not sensitive to the decrease in permeate water flux. The permeate water flux decreased sharply until zero due to the membrane fouling resistance as the concentration varied from 25 to 26%. However, the conductivity of the produced water was well maintained and the average value was measured to be $4.98{\mu}s/cm$. Furthermore, a salt rejection of more than 99.99% was achieved. Overall, the outcome of this investigation clearly indicates that VMD has the potential for treating high-salinity wastewater.

Effects of Panax notoginseng, ginsenoside Rb1, and notoginsenoside R1 on proliferation of human breast carcinoma MCF-7 cells

  • Xie, Jing-Tian;Aung, Han H;Wang, Chong Zhi;Mehendale, Sangeeta R;McEntee, Eryn;Wicks, Sheila;Li, Jing;Yuan, Chun-Su
    • Advances in Traditional Medicine
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    • 제6권4호
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    • pp.286-292
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    • 2006
  • In this study, we evaluated the antiproliferative effects of Panax notoginseng, ginsenoside Rb1, and notoginsenoside R1 in the human breast carcinoma MCF-7 cell line. Our results indicated that both Panax notoginseng radix extract (NRE) and Panax notoginseng rhizoma extract (NRhE) possess significant antiproliferative activities in MCF-7 cells. Compared to control group (100%), at the concentrations of 0.05, 0.5, and 1.0 mg/ml NRE, cell growth was concentration-dependently reduced to 81.0 ${\pm}$ 6.1 (P < 0.01), 34.2 ${\pm}$ 4.8 (P < 0.001), and 19.3 ${\pm}$ 1.9 (P < 0.001), respectively. Similar results with NRhE at concentrations of 0.5 and 1.0 mg/ml were obtained in these MCF-7 cells. To identify the responsible chemical constituent, we tested the antiproliferation effects of two representative saponins, ginsenoside Rb1 and notoginsenoside R1, on the MCF-7 cells. The data showed that ginsenoside Rb1 was endowed with antiproliferative properties, while notoginsenoside R1 did not have an inhibitory effect in the concentrations tested. Our studies provided evidence that Panax notoginseng extracts and ginsenoside Rb1 may be beneficial, as adjuvants, in the treatment of human breast carcinoma.

GNSS Center of Excellence for Safety Critical Applications, Simulation, Test & Certifications - GAUSS

  • Evers, H.
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.2
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    • pp.153-155
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    • 2006
  • A major advantage of the area in and around Braunschweig is its concentration of major research institutes and small to large enterprises dealing with different modes of transportation. For many years, aviation has been a particular focus. The research institutes have aircraft and helicopters equipped especially for research projects, as well as other laboratory equipment, allowing simulation and testing of air traffic application both virtually and on real aircraft. In addition, with the Luftfahrtbundesamt (equivalent organization to FAA) and the Bundesstelle $f{\"{u}}r$ Flugunfalluntersuchung (equivalent to NTSB) both located at the Research Airport, it enables direct contact with two key air-traffic safety authorities. The institutes of DLR and the Technical University of Braunschweig are very active in rail transportation applications. Cooperation with the market leader in rail automation - Siemens Rail Automation, also located in Braunschweig - and with other companies in the Braunschweig region means that safety-critical road applications and mobility research is available due to the activities of a number of institutes. Cooperation with Volkswagen (VW) and other companies in the region ensure access to the market leaders' know-how in this sector. Current European activities within framework of the Galileo project offer particularly good opportunities for the Research Airport to leverage its expertise and position itself internationally as a specialist in safety-critical transport applications - the centre is an initiative of Niedersachsen and the Ministry of Economic Affairs, Labour and Transport Location and navigation plays a central role in all modes of transport - air, road and rail. The market is being revolutionized by the increasing integration of GNSS. The realization of the Galileo system will provide additional opportunities for the Research Airport: Galileo as a civil operated system offers service guarantees especially in the area of safety-critical applications in transportation. Notably standards, processes and authorizations related to the certification of safety-critical applications in the areas of air, road and rail transportation are still to be determined. GAUSS, located at the Research Airport Braunschweig, as an European centre of excellence for simulation, testing and certification of safety-critical applications can offer its expertise to validate the services guaranteed by the Galileo concessionaire.

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