• Communications of the Korean Mathematical Society
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• v.16 no.4
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• pp.543-566
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• 2001

이차원 선형 탄성방정식을 소개하고 약한 형식 타원성을 보여준다(P-1)순응 유한요소를 사용할 때 나타나는 잠김현상을 설명하고 그 해결책으로서 비순응 유한요소법과 penalty 항을 가진 혼합문제, 일계 최소자승법 등을 소개한다.

• Journal of the Korean Chemical Society
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• v.27 no.3
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• pp.201-207
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• 1983

The rate constants for solvated electrons with benzene in the binary mixture (tetrahydrofuran-water) were measured at a various temperatures$(-18{\circ}C{\sim}+51{\circ}C)$ by photolysis. From Arrhenius plots of rate constants it was observed that the activation energies were decreased with increasing tetrahydrofuran(THF) content. Decreasing the viscosity of solvent mixtures by adding water, the rate constants were also decreased. It indicates that the reaction of solvated electrons are not controlled by diffusion. The change of activation enthalpy in kcal $M^{-1}$ and the rate constants in$ M^{-1}sec^{-1}$ were 4.90 and $8.80{\times}10^8$ for 30M% of THF, 2.80 and $5.14{\times}10^8$ for 49M% of THF, and -0.30 and %1.43{\times}10^8$ for 75M% of THF, respectively. The slope of the linear plot of activation enthalpies against activation entropies was $244{\circ}K$, which supports the reaction parameter is the change of activation entropy in the range of the experimental temperature. From the solvent effect on the activation energy, it was found that the step of the reaction, ${e_s}^-+B{\rightleftharpoons}B^-$ shifted to the exothermic reaction with increasing THF content.