• 대한수학회논문집
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• 제18권3호
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• pp.559-568
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• 2003

We introduce the notion of two-scale convergence for partial differential equations with random coefficients that gives a very efficient way of finding homogenized differential equations with random coefficients. For an application, we find the homogenized matrices for linear second order elliptic equations with random coefficients. We suggest a natural way of finding the two-scale limit of second order equations by considering the flux term.

• 한국산학기술학회논문지
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• 제12권7호
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• pp.2939-2944
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• 2011

용융탄산염형 연료전지 시스템의 성능 향상을 위해 핵심 부분인 스택을 수치적으로 모사할 필요성이 대두되고 있다. 스택은 다양한 재질, 즉 금속, 세라믹, 폴리머 등으로 이루어져 있고 또한 단위전지 수백 장이 적층되어 제작되기 때문에 이를 전부 세세히 모델링하여 고려하는 것은 거의 불가능하다. 이에 따라 스택 전체를 하나의 균질한 물질로 대체할 수 있는 균질 물성치 도출이 요구되고 있다. 본 논문에서는 단위전지 압축률을 도입하고 모든 압축 변형이 분리판과 매트릭스에서만 일어난다는 등의 몇 가지 기본 가정 하에서 스택의 두 가지 영역, 즉 활성 영역과 매니폴드 영역에서 각각 균질 물성치를 추정하였다. 추정된 물성치를 실제 문제에 적용하여 성공적인 결과를 얻을 수 있었다.

• 한국물환경학회지
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• 제32권6호
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• pp.628-648
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• 2016

Increased attention has been paid to the presence of veterinary antibiotics in various environmental matrices due to their toxicological behavior in the ecosystem and development of antibiotic-resistant strains of pathogenic bacteria. In the this review, 37 target antimicrobials were selected based on annual sales of antibiotics for livestock in South Korea 2014. Also, extraction and clean-up methods for the determination of the antibiotic residues in liquid samples including water, milk, and honey were comprehensively reviewed in the literature. Solid-phase extraction (SPE) was commonly used as a pre-treatment method for the samples. Most of the analytes were extracted in acidic conditions (2.5~4.0) except for aminoglycosides, which were extracted in neutral conditions (7.0~8.0). ${\beta}-Lactams$ showed the highest recoveries in neutral pH due to their degradation characteristics in acidic media. Starta-X, Oasis HLB, and Oasis MCX were frequently applied as an SPE cartridge and Oasis HLB showed the highest recoveries for the majority of antibiotic classes. The homogenized honey and milk were extracted by mixing with acids for deproteinization. Solids and other interfering substances in the extract were eliminated by centrifugation followed by membrane filtration or SPE before injection into HPLC.