• Title/Summary/Keyword: $\Omega$ Type

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EXISTENCE OF SOLUTIONS FOR GRADIENT TYPE ELLIPTIC SYSTEMS WITH LINKING METHODS

  • Jin, Yinghua;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.1
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    • pp.65-70
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    • 2007
  • We study the existence of nontrivial solutions of the Gradient type Dirichlet boundary value problem for elliptic systems of the form $-{\Delta}U(x)={\nabla}F(x,U(x)),x{\in}{\Omega}$, where ${\Omega}{\subset}R^N(N{\geq}1)$ is a bounded regular domain and U = (u, v) : ${\Omega}{\rightarrow}R^2$. To study the system we use the liking theorem on product space.

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Synthesis of Monomers for Polyamide-type TPEs from Oleic Acid (천연 올레인산 기반 폴리아미드계 TPEs 단량체 합성)

  • Koh, Moo-Hyun;Kim, Hyun Su;Kim, Hyeonjeong;Shin, Nara;Yoo, Dongwon;Kim, Young Gyu
    • Elastomers and Composites
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    • v.48 no.1
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    • pp.24-29
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    • 2013
  • We have developed the synthetic processes for the monomers of polyamide-type TPEs (thermoplastic elastomers, TPAEs) obtained from vegetable oil. TPAEs have several superior physical properties to those of thermoplastic elastomers (TPEs). From the common starting material, oleic acid, which is commonly found in various vegetable oils, we have synthesized three ${\omega}$-amino acid monomers ($C_9$, $C_{10}$ and $C_{11}$ ${\omega}$-amino acid) and three ${\alpha}$, ${\omega}$-dicarboxylic acids($C_9$, $C_{10}$ and $C_{11}$ ${\alpha}$, ${\omega}$-dicarboxylic acid) for TPAEs in good yields.

DOMAINS WITH Ck CR CONTRACTIONS

  • Kim, Sung-Yeon
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.11-27
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    • 2010
  • Let $\Omega$ be a domain with smooth boundary in ${\mathbb{C}}^{n+1}$ and let $p{\in}{\partial}{\Omega}$. Suppose that $\Omega$ is Kobayashi hyperbolic and p is of Catlin multi-type ${\tau}=({\tau}_0,{\ldots},{\tau}_n)$. In this paper, we show that $\Omega$ admits a $C^{k}$ contraction at p with $k{\geq}\mid{\tau}\mid+1$ if and only if $\Omega$ is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial.

Large-scale and small-scale self-excited torsional vibrations of homogeneous and sectional drill strings

  • Gulyayev, V.I.;Glushakova, O.V.
    • Interaction and multiscale mechanics
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    • v.4 no.4
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    • pp.291-311
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    • 2011
  • To simulate the self excited torsional vibrations of rotating drill strings (DSs) in vertical bore-holes, the nonlinear wave models of homogeneous and sectional torsional pendulums are formulated. The stated problem is shown to be of singularly perturbed type because the coefficient appearing before the second derivative of the constitutive nonlinear differential equation is small. The diapasons ${\omega}_b\leq{\omega}\leq{\omega}_l$ of angular velocity ${\omega}$ of the DS rotation are found, where the torsional auto-oscillations (of limit cycles) of the DS bit are generated. The variation of the limit cycle states, i.e. birth (${\omega}={\omega}_b$), evolution (${\omega}_b<{\omega}<{\omega}_l$) and loss (${\omega}={\omega}_l$), with the increase in angular velocity ${\omega}$ is analyzed. It is observed that firstly, at birth state of bifurcation of the limit cycle, the auto-oscillation generated proceeds in the regime of fast and slow motions (multiscale motion) with very small amplitude and it has a relaxation mode with nearly discontinuous angular velocities of elastic twisting. The vibration amplitude increases as ${\omega}$ increases, and then it decreases as ${\omega}$ approaches ${\omega}_l$. Sectional drill strings are also considered, and the conditions of the solution at the point of the upper and lower section joints are deduced. Besides, the peculiarities of the auto-oscillations of the sectional DSs are discussed.

Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.3
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    • pp.252-261
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    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.

ON SOME NEW CLASSES OF COMPACT-LIKE BITOPOLOGICAL SPACES

  • Afsan, BM Uzzal
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.2
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    • pp.271-285
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    • 2020
  • In this paper, we have introduced a new type of covering property ${\beta}^t_{({\omega}_r,s)}$-closedness, stronger than $P^t_{({\omega}_r,s)}$-closedness [3] in terms of (r, s)-β-open sets [9] and β-ωt-closures in bitopological spaces along with its several characterizations via filter bases and grills [15] and various properties. Further grill generalizations of ${\beta}^t_{({\omega}_r,s)}$-closedness (namely, ${\beta}^t_{({\omega}_r,s)}$-closedness modulo grill) and associated concepts have also been investigated.

The Design of Oxide Module for High Temperature Thermoelectric Power Generation (고온 발전용 산화물 열전모듈의 설계)

  • Park, Jong-Won;Yoon, Sun-Ho;Cha, Jeong-Eui;Choi, Seung-Chul
    • Journal of the Microelectronics and Packaging Society
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    • v.15 no.4
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    • pp.93-100
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    • 2008
  • The one and two pair of oxide modules for high temperature thermoelectric power generation were fabricated with $Ca_{2.7}Bi_{0.3}Co_4O_9$(p-type) and $Ca_{0.96}Bi_{0.04}Mn_{0.96}Nb_{0.04}O_3$(n-type) on $Al_2O_3$ substrate. For the optimizing of the design process, contact resistance was derived from the results of the one pair modules, and then the resistance of two pair modules were calculated to use the derived data. Those values were compared with the measured values for the optimizing of this design process. The resistance of calculated and measured two pairs modules was 0.956 $\Omega$ and 1.110 Q $\Omega$ $T_h$=833 K, respectively, the difference of resistance was about 0.15 $\Omega$. From the result, proposed design process is effective for high temperature thermoelectric oxide modules fabrication.

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Calcium Channel Subtype in Rat Adrenal Chromaffin Cells (흰쥐 부신수질 크로마핀세포의 칼슘통로 유형)

  • Goo, Yong-Sook
    • Progress in Medical Physics
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    • v.12 no.1
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    • pp.59-70
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    • 2001
  • Adrenal chromaffin cells secrete catecholamine in response to acetylcholine. The secretory response has absolute requirement for extracellular calcium, indicating that $Ca^{2+}$ influx through voltage operated $Ca^{2+}$ channels is the primary trigger of the secretion cascade. Although the existence of various types of $Ca^{2+}$ channels has been explored using patch clamp technique in adrenal chromaffin cells, there is still disagreement with the types of $Ca^{2+}$ channels existed in different species. Therefore, we have tried to identify several distinct types of $Ca^{2+}$ channels in rat chromaffin cells. By using nicardipine(L type channel blocker), $\omega$-CgTx GVIA(N type channel blocker), and $\omega$-AgaTx VIA(P type channel blocker), it was identified that L, N, and P type $Ca^{2+}$ channel exist in rat adrenal chromaffin cells and the order of contribution of each channel type to whole cell $Ca^{2+}$ current was L type> N type> P type. type> P type.

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Characterization of Voltage-Sensitive Calcium Channels and Insulin Secretion and the effect of 4,4'-Dichlorobiphenyl in RINm5f cells

  • Lee, Ihn-Soon;Hur, Eun-Mi;Sungkwon Chung;Kim, Kyong-Tai
    • Proceedings of the Korean Biophysical Society Conference
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    • 2001.06a
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    • pp.47-47
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    • 2001
  • Opening of $Ca^{2+}$ -channels represents the final common pathway for insulin secretion in pancreatic beta-cells and related cell lines. We investigated voltage-sensitive calcium channels (VSCCs) and insulin secretion in RINm5F, an insulinoma cell line derived from rat pancreatic beta-cells. Several types of VSCCs were identified in RINm5f cells: dihydropyridine-sensitive L-type, $\omega$-conotoxin GVIA-sensitive N-type, $\omega$-agatoxin IVA-sensitive P-type channels, and $\omega$-conotoxin MVIIC sensitive Q-type channels.(omitted)

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A Study on Ion-exchange Membranes in Redox-flow Battery(II) -Battery Characteristics in Commercial Ion-exchange Membranes- (레독스-흐름 전지용 이온교환막에 관한 연구(II) -상용 이온교환막의 전지특성을 중심으로-)

  • 이용욱;김용열;강현춘;신석재;이병철;강안수
    • Membrane Journal
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    • v.5 no.3
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    • pp.109-118
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    • 1995
  • In this study, cell resistivity and membrane resistivity were measured in Fe-Cr redox-fiow battery system using commercial ion-exchange membranes. Cell resistivity and membrane resistivity at charging periods are higher than at discharging periods. And at the same membrane the resistivity were increased with increasing SOC. The resistivity of hydrocarbon type Seiemion CMV membrane was smaller than perfluoro type Nafion 117 and Nafion 551. The cell resistivity and membrne resistivity of CMV membrane at 0 % SOC was $12.864\Omega \textrm{cm}^2$ and $8.751\Omega \textrm{cm}^2$, respectively.

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