• Title/Summary/Keyword: Global Time

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LONG TIME BEHAVIOR OF SOLUTIONS TO SEMILINEAR HYPERBOLIC EQUATIONS INVOLVING STRONGLY DEGENERATE ELLIPTIC DIFFERENTIAL OPERATORS

  • Luyen, Duong Trong;Yen, Phung Thi Kim
    • Journal of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1279-1298
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    • 2021
  • The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate hyperbolic equation involving strongly degenerate elliptic differential operators. The attractor is characterized as the unstable manifold of the set of stationary points, due to the existence of a Lyapunov functional.

GLOBAL ANALYSIS FOR A DELAY-DISTRIBUTED VIRAL INFECTION MODEL WITH ANTIBODIES AND GENERAL NONLINEAR INCIDENCE RATE

  • Elaiw, A.M.;Alshamrani, N.H.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.4
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    • pp.317-335
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    • 2014
  • In this work, we investigate the global stability analysis of a viral infection model with antibody immune response. The incidence rate is given by a general function of the populations of the uninfected target cells, infected cells and free viruses. The model has been incorporated with two types of intracellular distributed time delays to describe the time required for viral contacting an uninfected cell and releasing new infectious viruses. We have established a set of conditions on the general incidence rate function and determined two threshold parameters $R_0$ (the basic infection reproduction number) and $R_1$ (the antibody immune response activation number) which are sufficient to determine the global dynamics of the model. The global asymptotic stability of the equilibria of the model has been proven by using Lyapunov theory and applying LaSalle's invariance principle.

A study on analysis to time series data by using vegetation surface roughness index

  • Konda, Asako;Kajiwara, Koji;Honda, Yoshiaki
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.706-708
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    • 2003
  • Index for difference of vegetation surface roughness (BSI: Bi-directional reflectance factor structure Index) was proposed in our laboratory (Konda et al., 2000). It is thought that BSI is useful vegetation index for vegetation monitoring. If it can be applied for global covered satellite data, detailed monitoring of global vegetation can be expected. However, in order to apply BSI to global satellite data, there are some problems to be solved. In this study, in order to make global data set of BSI, it arranged about processing of the global satellite data for making BSI data sets.

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Design & Implementation of the RMMC and Global Time based on the RT-eCos 3.0 (RT-eCos 3.0 기반의 RMMC 및 글로벌 타임 설계 및 구현)

  • Han, Seoung-Yeon;Kim, Jung-Guk
    • Journal of KIISE:Computing Practices and Letters
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    • v.16 no.7
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    • pp.759-767
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    • 2010
  • RT-eCos 3.0 is a micro-sized embedded real-time kernel that has been developed based on the open source eCos 3.0 to support the basic task model of the well-known distributed real-time object model, TMO(Time-Triggered Message-triggered Object). In this paper, the design and implementation techniques of the RMMC(Real-time Multicast & Memory replication Channel) that is a standard distributed IPC model of the TMO is described based on the RT-eCos 3.0. And the support technique of the global time for using the same time in a distributed environment using the RMMC is also described. The developed global time based RMMC supports highly abstracted distributed IPC environment in a wide area distributed computing environment with the RT-eCos 3.0.

Assessment of Ocean Surface Current Forecasts from High Resolution Global Seasonal Forecast System version 5 (고해상도 기후예측시스템의 표층해류 예측성능 평가)

  • Lee, Hyomee;Chang, Pil-Hun;Kang, KiRyong;Kang, Hyun-Suk;Kim, Yoonjae
    • Ocean and Polar Research
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    • v.40 no.3
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    • pp.99-114
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    • 2018
  • In the present study, we assess the GloSea5 (Global Seasonal Forecasting System version 5) near-surface ocean current forecasts using globally observed surface drifter dataset. Annual mean surface current fields at 0-day forecast lead time are quite consistent with drifter-derived velocity fields, and low values of root mean square (RMS) errors distributes in global oceans, except for regions of high variability, such as the Antarctic Circumpolar Current, Kuroshio, and Gulf Stream. Moreover a comparison with the global high-resolution forecasting system, HYCOM (Hybrid Coordinate Ocean Model), signifies that GloSea5 performs well in terms of short-range surface-current forecasts. Predictions from 0-day to 4-week lead time are also validated for the global ocean and regions covering the main ocean basins. In general, the Indian Ocean and tropical regions yield relatively high RMS errors against all forecast lead times, whilst the Pacific and Atlantic Oceans show low values. RMS errors against forecast lead time ranging from 0-day to 4-week reveal the largest increase rate between 0-day and 1-week lead time in all regions. Correlation against forecast lead time also reveals similar results. In addition, a strong westward bias of about $0.2m\;s^{-1}$ is found along the Equator in the western Pacific on the initial forecast day, and it extends toward the Equator of the eastern Pacific as the lead time increases.

Comparison of Local and Global Fitting for Exercise BP Estimation Using PTT (PTT를 이용한 운동 중 혈압 예측을 위한 Local과 Global Fitting의 비교)

  • Kim, Chul-Seung;Moon, Ki-Wook;Eom, Gwang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.12
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    • pp.2265-2267
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    • 2007
  • The purpose of this work is to compare the local fitting and global fitting approaches while applying regression model to the PTT-BP data for the prediction of exercise blood pressures. We used linear and nonlinear regression models to represent the PTT-BP relationship during exercise. PTT-BP data were acquired both under resting state and also after cycling exercise with several load conditions. PTT was calculated as the time between R-peak of ECG and the peak of differential photo-plethysmogram. For the identification of the regression models, we used local fitting which used only the resting state data and global fitting which used the whole region of data including exercise BP. The results showed that the global fitting was superior to the local fitting in terms of the coefficient of determination and the RMS (root mean square) error between the experimental and estimated BP. The nonlinear regression model which used global fitting showed slightly better performance than the linear one (no significant difference). We confirmed that the wide-range of data is required for the regression model to appropriately predict the exercise BP.

The Theoretical Comparison of Malmquist and Luenberg Productivity Indices & Empirical Analysis (Malmquist 생산성지수와 Luenberger 생산성지수의 이론적 관계와 실증적 분석)

  • Park, Hyun Suk;Yang, Dong Hyun
    • Health Policy and Management
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    • v.25 no.2
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    • pp.118-128
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    • 2015
  • Background: We measured productivity changes of regional public hospitals using both global Malmquist productivity index-based on global production possibility set over all the periods-and the traditional Malmquist productivity index and analyzed the factors of productivity change. Methods: The data used in this study is two annual inputs and two annual outputs of 32 regional public hospitals in Korea from 2005 to 2009 and the results such as distances and Malmquist productivity index and global Malmquist productivity index are obtained by an R program written for this study. Results: The results can be summarized as follows. Firstly, technical efficiencies of regional public hospitals are affected largely by scale efficiency than pure technical efficiency. Second, productivity progressed and technological change has more significant influence on productivity advance over the period between 2005 and 2009. Third, the circularity problem of the traditional Malmquist index is confirmed, and so the global Malmquist index without this problem are valid for the analysis. Conclusion: Though this study also has some limitations with the data of regional public hospitals with a short time span, it is the first study of hospitals using global Malmquist productivity index and later it can be expanded to private hospitals and longer time periods.

Mission Oriented Global Path Generation for Unmanned Combat Vehicle Based on the Mission Type and Multiple Grid Maps (임무유형과 다중 격자지도 기반의 임무지향적 전역경로 생성 연구)

  • Lee, Ho-Joo;Lee, Young-Il;Lee, Myung-Chun
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.2
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    • pp.180-187
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    • 2010
  • In this paper, a global path generation method is suggested using multiple grid maps connected with the mission type of unmanned combat vehicle(UCV). In order to carry out a mission for UCV, it is essential to find a global path which is coincident with the characteristics of the mission. This can be done by considering various combat circumstances represented as grid maps such as velocity map, threat map and communication map. Cost functions of multiple grid maps are linearly combined and normalized to them simultaneously for the path generation. The proposed method is realized using $A^*$, a well known search algorithm, and cost functions are normalized in the ratio of the traverse time which is one of critical information should be provided with the operators using the velocity map. By the experiments, it is checked found global paths match with the mission type by reflecting input data of grid maps properly and the computation time is short enough to regenerate paths in real time as combat circumstances change.

Productivity Analysis on Real-time Path Monitoring of Dumps (덤프의 이동경로 모니터링을 통한 생산성 분석)

  • Lee, Hak June;Kwon, Young Min;Yoon, Cha Woong;Seo, Jong Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.3
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    • pp.565-571
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    • 2016
  • This study check the construction site and borrow pit location using GIS-based Open Global Map. Construction Equipment (Dump, Grader) utilizes the GPS (Global Positioning System) to gain equipment's real-time position, speed, altitude, using the data such as directions to perform real-time monitoring. The analysis of the productivity is completed through using the data, and the optimal number of equipment is calculated. It was found that the analysis results showed approximately 30% less cost compared to the actual design plan.

ASYMPTOTIC STABILIZATION FOR A DISPERSIVE-DISSIPATIVE EQUATION WITH TIME-DEPENDENT DAMPING TERMS

  • Yi, Su-Cheol
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.4
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    • pp.445-468
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    • 2020
  • A long-time behavior of global solutions for a dispersive-dissipative equation with time-dependent damping terms is investigated under null Dirichlet boundary condition. By virtue of an appropriate new Lyapunov function and the Lojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, when damping coefficients are integrally positive and positive-negative, respectively. Moreover, under the assumptions on on-off or sign-changing damping, we derive an asymptotic stability of solutions.