• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.217-230
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• 2017

In this paper we deal with the difference equation $$y_{n+1}=\frac{ay_{n-1}}{by_ny_{n-1}+cy_{n-1}y_{n-2}+d}$$, $$n{\in}\mathbb{N}_0$$, where the coefficients a, b, c, d are positive real numbers and the initial conditions $y_{-2}$, $y_{-1}$, $y_0$ are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2004년도 학술발표회
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• pp.124-133
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• 2004

Global climate variations are expected to affect local hydro-meteorological variables like precipitation and temperature. The Southern Oscillation (SO) is one of the major driving forces that give impact on regional and local climatic variation. The relationships between SO and local climate variation are, however, characterized by strong nonlinear variation patterns. In this paper, the nonlinear dynamic relationship between the Southern Oscillation Index (SOI), precipitation, and temperature in Fukuoka, Japan, is investigated using by a nonlinear multivariable approach. This approach is based on the joint variation of these variables in the phase space. The joint phase-space variation of SOI, precipitation, and temperature is studied with the primary objective to obtain a better understanding of the dynamical evolution of local hydro-meteorological variables affected by global atmospheric-oceanic phenomena.

• 대한수학회지
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• 제51권6호
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• pp.1209-1220
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• 2014

We prove global gradient estimates in weighted Orlicz spaces for weak solutions of nonlinear elliptic equations in divergence form over a bounded non-smooth domain as a generalization of Calder$\acute{o}$n-Zygmund theory. For each point and each small scale, the main assumptions are that nonlinearity is assumed to have a uniformly small mean oscillation and that the boundary of the domain is sufficiently flat.

• 대기
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• 제29권5호
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• pp.627-637
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• 2019

Severe and long-lasting heat waves over Korea and many regions in the Northern Hemisphere (NH) during the 2016 summer, have been attributed to global warming and atmospheric teleconnection coupled with tropical convective activities. Yet, what controls subseasonsal time scale of heat wave has not been well addressed. Here we show a critical role of two dominant boreal summer intraseasonal oscillation (BSISO) modes, denominated as BSISO1 and BSISO2, on modulating temporal structure of heat waves in the midst of similar climate background. The 2016 summer was characterized by La Nina development following decay of strong 2015/2016 El Nino. The NH circumglobal teleconnection pattern (CGT) and associated high temperature anomalies and heat waves were largely driven by convective activity over northwest India and Pakistan during summer associated with La Nina development. However, the heat wave event in Korea from late July to late August was accompanied by the phase 7~8 of 30~60-day BSISO1 characterized by convective activity over the South China Sea and Western North Pacific and anticyclonic circulation (AC) anomaly over East Asia. Although the 2010 summer had very similar climate anomalies as the 2016 summer with La Nina development and CGT, short-lasting but frequent heat waves were occurred during August associated with the phase 1~2 of 10~30-day BSISO2 characterized by convective activity over the Philippine and South China Sea and AC anomaly over East Asia. This study has an implication on importance of BSISO for better understanding mechanism and temporal structure of heat waves in Korea.

• 대기
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• 제33권2호
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• pp.125-154
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• 2023

Since the Korean Meteorological Society was organized in 1963, the climate dynamics fields have been made remarkable progress. Here, we documented the academic developments in the area of climate dynamics performed by members of Korean Meteorological Society, based on studies that have been published mainly in the Journal of Korean Meteorological Society, Atmosphere, and Asia-Pacific Journal of Atmospheric Sciences. In these journals, the fundamental principles of typical ocean-atmosphere climatic phenomena such as El Niño, Madden-Julian Oscillation, Pacific Decadal Oscillation, and Atlantic Multi-decadal Oscillation, their modeling, prediction, and its impact, are being conducted by members of Korean Meteorological Society. Recently, research has been expanded to almost all climatic factors including cryosphere and biosphere, as well as areas from a global perspective, not limited to one region. In addition, research using an artificial intelligence (AI), which can be called a cutting-edge field, has been actively conducted. In this paper, topics including intra-seasonal and Madden-Julian Oscillations, East Asian summer monsoon, El Niño-Southern Oscillation, mid-latitude and polar climate variations and some paleo climate and ecosystem studies, of which driving mechanism, modeling, prediction, and global impact, are particularly documented.

• 한국지구과학회지
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• 제26권3호
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• pp.199-217
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• 2005

TOMS 월별 오존전량의 전구 자료를 이용하여, 두 기간(전기: 1979-1992년, 후기: 1997-2002년)에 대한 오존전량 추세 및 시공간 변동을 지역과 해륙 분포에 따라 상호 비교하였다. 전기에 비하여 후기의 오존전량이 0-20 N 일부 지역을 제외하고 전지구적으로 10 DU 정도 감소하였다. 오존전량의 추세는 전구적으로 전자기간에 감소(-6.30 DU/decade)를 나타냈다. 후자 기간의 오존 증가 경향은 열대 지역에서 현저하였다. 1997-2002년 기간의 오존전량에 대한 경험직교함수 분석은 준2년 진동(QBO), 준3년 진동(QTO), 엘니뇨(ENSO), 그리고 화산폭발과 관련된 시공간 변동을 반영하였다. 열대 지역에서 대류권 오존의 연직 분포는 동서방향에서 파수 1의 형태를 보였다. 본 연구는 기후 및 환경변화와 관련된 성층권과 대류권 오존 변화의 원인 규명에 도움을 줄 수 있다.

• 한국연소학회지
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• 제12권2호
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• pp.34-41
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• 2007

The dynamic behaviors of counterflow non-premixed flame have been investigated experimentally to study effects of heat losses and Lewis number on edge flame oscillation, which result from the advancing and retreating edge flame motion of outer flame edge at low strain rate flame. For low strain rate flame, lateral conduction heat loss in addition to radiation heat loss could be more remarkable than the others. Oscillatory instabilities appear at fuel Lewis number greater than unity. But excessive lateral conduction heat loss causes edge flame instability even at fuel Lewis number less than unity. The excessive heat loss caused by the smaller burner diameter in which the flame length is an indicator of lateral conduction heat loss extends the region of flame oscillation and accelerates oscillatory instability in comparison to the previous study with the burner diameter of 26mm. Extinction behaviors quite different from the previous study are also addressed.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2003년도 학술발표회논문집(1)
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• pp.151-158
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• 2003

Recently, there has been considerable interest in the influence of El Nino/Southern Oscillation (ENSO) on a global scale. ENSO has been measured by a simple index called Southern Oscillation Index (SOI). The statistical characteristics of SOI have been also focused to reveal the influence of ENSO. The SOI trend shows that El Nino events are generally getting stronger and more frequently occurring than La Nina events. However, the variation of SOI has varied significantly in a long-term. The SOI values are computed using the mean value and its standard deviation of the base period from 1951 to 1980. In the present study, the different base periods are applied to compute the SOI values and the influence of the different base periods is investigated in detail to reveal the long-term variation of SOI From the results, we could conclude that the present SOI should be carefully considered as a criterion to judge whether the El Nino and La Nina events are occurring.

• 대한수학회보
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• 제44권3호
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• pp.439-445
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• 2007

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $$x_{n+1}={\frac{Ax_{n-1}}{B+Cx_{n-2}{\iota}x_{n-2k}$$, n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and $\iota$, k are nonnegative in tegers, $\iota{\leq}k$.

• 한국수자원학회논문집
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• 제38권12호
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• pp.985-994
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• 2005

수문시계열을 분석하기 위한 방법으로 낮은 차원에서 해석이 가능한 주성분분석 방법의 문제점을 검토하고 이를 보완할 수 있는 독립성분분석의 이론과 특성을 검토하였고 수문기상자료인 Nino지역의 해수면온도에 적용하여 El $\tilde{n}ino$-Southern Oscillation(ENSO) 사상과의 상관성을 평가하였다. 혼합자료를 사용하여 독립성분분석 방법의 주성분 분리 능력을 검토한 결과 독립성분분석이 기존 주성분분석에 비해 통계적으로 우수한 결과를 나타내었다. El $\tilde{n}ino$의 감시구역인 Nino+3.4지역의 $5^{\circ}{\times}5^{\circ}$(위도와 경도)의 총 20개 Global Anomaly SST 격자자료를 대상으로 분석을 실시하여 El $\tilde{n}ino$-Southern Oscillation(ENSO)사상의 발생시기와의 상관관계를 평가하였으며 한 개의 독립성분($86\%$)만으로 SST의 전체적인 거동을 표현할 수 있었으며 주요 ENSO 발생시기와 일치하는 결과를 나타내었다. 또한 국내 주요지점의 여름 강수량을 대상으로 독립성분분석을 적용한 결과 지역적인 특성을 고려하여 비교적 합리적으로 독립성분을 추출할 수 있었으며 IC-1과 IC-2에서 1970년대 이후로 여름강수량의 증가를 확인할 수 있었다.