• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.13 no.1
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• pp.21-29
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• 2009

This paper treats the conditions for the existence and stability properties of stationary solutions of a predator-prey interaction with self and cross-diffusion. We show that at a certain critical value a diffusion driven instability occurs, i.e. the stationary solution stays stable with respect to the kinetic system (the system without diffusion) but becomes unstable with respect to the system with diffusion and that Turing instability takes place. We note that the cross-diffusion increase or decrease a Turing space (the space which the emergence of spatial patterns is holding) compared to the Turing space with self-diffusion, i.e. the cross-diffusion response is an important factor that should not be ignored when pattern emerges.

• Nuclear Engineering and Technology
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• v.49 no.5
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• pp.1019-1030
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• 2017

Diffusion is a crucial mechanism that regulates the migration of radioactive nuclides. In this study, an innovative numerical method was developed to simultaneously calculate the diffusion coefficient of both parent and, afterward, series daughter nuclides in a sequentially reactive through-diffusion model. Two constructed scenarios, a serial reaction (RN_1 ${\rightarrow}$ RN_2 ${\rightarrow}$ RN_3) and a parallel reaction (RN_1 ${\rightarrow}$ RN_2A + RN_2B), were proposed and calculated for verification. First, the accuracy of the proposed three-member reaction equations was validated using several default numerical experiments. Second, by applying the validated numerical experimental concentration variation data, the as-determined diffusion coefficient of the product nuclide was observed to be identical to the default data. The results demonstrate the validity of the proposed method. The significance of the proposed numerical method will be particularly powerful in determining the diffusion coefficients of systems with extremely thin specimens, long periods of diffusion time, and parent nuclides with fast decay constants.

• Journal of Digital Convergence
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• v.12 no.3
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• pp.141-147
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• 2014

Diffusion model is popular research topic in marketing and economy particularly for the areas of model specification and market size forecasting. In particular, Bass model can explain Roger's innovation diffusion and product life cycle through easy mathematical representation and hence the model has been widely used for the explanation of adopting innovative new products and technologies. Nonetheless, there're only a couple of pioneering researches about semiconductor market, using diffusion models. Consequently, we'd utilise NLS approach diffusion model to estimate the market potential of MOSFET, major switching device for power management of system, and explain the process to industry stakeholders and policy makers for delivery of managerial implication with pragmatic purpose.

• Proceedings of the KIEE Conference
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• 2008.04b
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• pp.3-5
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• 2008

In this paper, a modified diffusion model integrated with the effects of rebate programs is developed. The greater part of motors is included to various systems such as pump systems, fan systems, ventilation systems, motor itself, and so on. Hence, the existing rebate program is not suitable for these systems and a generalized rebate model for these systems is necessary. In the pre-study, a new diffusion model for motor rebate Program was proposed and the adequacy of this model was evaluated in the case of Korea. This paper shows that the motor rebate model could be applied to the case of pumps.

• Journal of the Korean Society of Safety
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• v.11 no.3
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• pp.66-74
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• 1996

Numerical simulations were carried out using standard Reynolds stress turbulence model(LRR model) and modified RSM(Janicka model ) to validate these models in combustion flow fields. Two flames were selected for use as a benchmark data for model testing. One is a conventional jet diffusion flame that has the effect of suppression of turbulence by combustion. The other is a triple jet diffusion flame that designed to give high turbulence to the periphery of the flame and to remove the low Reynolds-number flow fields. As a result, it was found that the modification of standard RSM model is indispensable in the modelling of flames with low turbulence region. And it is also necessary to improve the existing modified models for the universal use.

• The Journal of Society for e-Business Studies
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• v.17 no.2
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• pp.115-127
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• 2012

The diffusion of the mobile telecommunication service in a country could be affected by the diffusions of the services in her neighbor countries. Previous studies on the diffusions of the telecommunication service among countries have been mainly focussed on the comparison after individual diffusion estimation. However, it would be natural to think the diffusion of the mobile telecommunication service in one country could affect to and be affected by the diffusion of the mobile telecommunication service in her neighbor country. In this study, we have applied the multinational diffusion model to model the crossnational effect in the diffusion of the mobile communication service in China, Korea, U.S., Japan, and Hong Kong. Among these 5 countries China is the latest country to adopt the mobile communication service, and we were interested in whether the diffusion of the mobile communication service in Korea, U.S., Japan, or Hong Kong has affected the diffusion of the mobile communication service in China or not. In our application result, the diffusion of the mobile communication service in China has been affected significantly by those in all of the 4 neighbor countries.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.17 no.6
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• pp.157-165
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• 2016

Among high-tech products, the mobile phone has experienced a rapid rate of innovation and a shortening of its product life cycle. The shortened product life cycle poses major challenges to those involved in the creation of forecasting methods fundamental to strategic management and planning systems. This study examined whether the best model applies to the entire diffusion life span of a mobile phone. Mobile phone sales data from a specific mobile service provider in Korea from March of 2013 to August of 2014 were analyzed to compare the performance of two S-shaped diffusion models and two non-linear regression models, the Gompertz, logistic, Michaelis-Menten, and logarithmic models. The experimental results indicated that the logistic model outperforms the other three models over the fitted region of the diffusion. For forecasting, the logistic model outperformed the Gompertz model for the period prior to diffusion saturation, whereas the Gompertz model was superior after saturation approaches. This analysis may help those estimate the potential mobile phone market size and perform inventory and order management of mobile phones.

• IE interfaces
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• v.25 no.3
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• pp.327-337
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• 2012

The development of information and communication technology affects people's life in social, cultural, and economic aspects. When this happens in public sector, it gives way more benefits than in private sector because of its high accessibility by public. Among the technological public services in Korea, call center service which provides administrative services by telephone and internet had been spotlighted as a new type of communication between people in demand and public service provider. Public call center service is expected to be continuously diffused in years due to its accessibility and convenience for public users. This study analyzes diffusion pattern of public call center service in Korea using Bass model and tries to suggest appropriate diffusion strategies. For practical cases, three most popular public call centers in Korea are analyzed in light of diffusion pattern and operating strategies. Our analyses identify that public call centers in Korea are facing continuous diffusion in two years and there exist certain strategies to efficiently expedite the diffusion.

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 2000.04a
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• pp.192-195
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• 2000

In describing the plastic deformation behaviour of fine grained materials a phase mixture model in which a polycrystalline material is regarded as a mixture of a crystalline phase and a grain boundary phase has been successful. The deformation mechanism for the grain boundary phase which is necessary for applying the phase mixture model is modelled as a diffusional flow of matter though the grain boundary. The proposed model can explain the strain rate and grain size dependence of the strength of the grain boundary phase.

• Journal of the Semiconductor & Display Technology
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• v.3 no.3
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• pp.19-21
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• 2004

This paper presents a 3-dimensional diffusion simulation with adaptive solution strategy. The developed diffusion simulator VLSIDIF-3 was designed to re-refine areas. Refine scheme was calculated by the difference of doping concentration between any of two nodes. Each element is greater than tolerance and redo diffusion process until error is tolerable. Numerical experiment in low doping diffusion problem showed that this adaptive solution strategy is very efficient in both memory and time, and expected this scheme would be more powerful in complex diffusion model.