• Honam Mathematical Journal
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• v.45 no.1
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• pp.54-70
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• 2023

In this article, we state and prove several new retarded nonlinear integral and integro-differential inequalities of Gronwall-Bellman-Pachpatte type. These inequalities generalize some former famous inequalities and can be used in examining the existence, uniqueness, boundedness, stability, asymptotic behaviour, quantitative and qualitative properties of solutions of nonlinear differential and integral equations. Applications are provided to demonstrate the strength of our inequalities in estimating the boundedness and global existence of the solution to initial value problem for nonlinear integro-differential equation and Volterra type retarded nonlinear equation. This research work will ensure to open the new opportunities for studying of nonlinear dynamic inequalities on time scale structure of varying nature.

• Nonlinear Functional Analysis and Applications
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• v.28 no.2
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• pp.473-495
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• 2023

The use of mathematical modelling in the study of epidemiological disorders continues to grow substantially. In order to better support global policy initiatives and explain the possible consequence of an outbreak, mathematical models were constructed to forecast how epidemic illnesses spread. In this paper, fractional derivatives and (${\varpi}$ - F_𝓒)-contractions are used to explore the existence and uniqueness solutions of the novel coronavirus-19 model.

• Bulletin of the Korean Mathematical Society
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• v.61 no.3
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• pp.637-669
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• 2024

The goal of this paper is to study decay properties of weak solutions to Cauchy problem of the non-stationary fractional Navier-Stokes equations. By using the Fourier splitting method, we give the time L²-decay rate of weak solutions, which reveals that L²-decay is generally determined by its linear generalized Stokes flow. In second part, we establish various decay results and the uniqueness of the two dimensional fractional Navier-Stokes flows. In the end of this article, as an appendix, the existence of global weak solutions is given by making use of Galerkin' method, weak and strong compact convergence theorems.

• Journal of the Korean Mathematical Society
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• v.61 no.4
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• pp.797-836
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• 2024

We consider the following strongly damped wave equation on ℝ³ with memory u_tt - αΔu_t - βΔu + λu - ∫₀^∞ κ'(s)∆u(t - s)ds + f(x, u) + g(x, u_t) = h, where a quite general memory kernel and the nonlinearity f exhibit a critical growth. Existence, uniqueness and continuous dependence results are provided as well as the existence of regular global and exponential attractors of finite fractal dimension.

• Journal of applied mathematics & informatics
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• v.42 no.2
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• pp.305-320
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• 2024

We consider a mathematical model which describes the quasistatic contact of electro-viscoelastic rod with an obstacle. We use a modified Kelvin-Voigt viscoelastic constitutive law in which the elasticity operator is nonlinear and locally Lipschitz continuous, taking into account the piezoelectric effect of the material. We model the contact with a general damped response condition. We establish a local existence and uniqueness result of the solution by using arguments of time-dependent nonlinear equations and Schauder's fixed-point theorem and obtain a global existence for small enough data.

• Journal of Korea Multimedia Society
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• v.14 no.6
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• pp.742-751
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• 2011

This paper presents a robust 3D model hashing dependent on key and parameter by using heat kernel signature (HKS), which is special shape feature descriptor, In the proposed hashing, we calculate HKS coefficients of local and global time scales from eigenvalue and eigenvector of Mesh Laplace operator and cluster pairs of HKS coefficients to 2D square cells and calculate feature coefficients by the distance weights of pairs of HKS coefficients on each cell. Then we generate the binary hash through binarizing the intermediate hash that is the combination of the feature coefficients and the random coefficients. In our experiment, we evaluated the robustness against geometrical and topological attacks and the uniqueness of key and model and also evaluated the model space by estimating the attack intensity that can authenticate 3D model. Experimental results verified that the proposed scheme has more the improved performance than the conventional hashing on the robustness, uniqueness, model space.

• Journal of the Korean Society of Clothing and Textiles
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• v.28 no.7
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• pp.1007-1018
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• 2004

Luxury fashion brand business is one of the most successful global businesses in these days. The luxury fashion brands with strong brand power permeates through various regions of the world with high added value and buying power. This study was conducted to determine the dimensions of the luxury fashion brand equity so that the fashion marketers can develop strategies to increase their brand power. ID find out the dimensions of the luxury fashion brand equity, qualitative as well as quantitative research methods were employed. Qualitative research was conducted by interviewing 12 consumers who were loyal to the luxury fashion brands. A total of ten dimensions(uniqueness, sophistication, display, economical and utility value, overall pleasure, satisfaction, reputation, trust respect, social acceptance) were identified as a result of the literature review and the qualitative analysis, and a questionnaire was developed based on them. The questionnaire was administered to 250 subjects and the responses were analyzed by factor analysis to confirm the dimensions empirically. As a result of factor analysis, 7 dimensions of fashion luxury brand equity are ＇chic and pleasure＇, ＇trust＇, ＇distinction＇, ＇reputation＇, ＇economical and utility value＇, ＇social acceptance＇, and ＇status＇. First, ＇reputation＇, ＇economical and utility value＇ and ＇social acceptance＇ are similar to the result of the literature review and the qualitative analysis. Next, ＇Chic and pleasure＇ included ＇overall pleasure＇,＇display＇and＇sophistication＇that were identified previously. We knew that People would expect emotional responses such as display through luxury fashion brand. ＇Trust＇ included ＇trust＇ and ＇satisfaction＇ that were identifed previously. ＇Distinction＇ included ＇uniqueness＇ and ＇respect＇ that were identifed previously. Finally, ＇status＇ included ＇sophistication＇ and ＇reputation＇ It seemed that the concept of ＇sophistication＇ was near symbolic rather than descriptive.

• Journal of KIISE:Software and Applications
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• v.35 no.1
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• pp.41-49
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• 2008

Fingerprint classification is useful to reduce the matching time of a huge fingerprint identification system by categorizing fingerprints into predefined classes according to their global features. Although global features are distributed diversly because of the uniqueness of a fingerprint, previous fingerprint classification methods extract global features non-adaptively from the fixed region for every fingerprint. We propose an novel method that extracts features adaptively for each fingerprint in order to classify various fingerprints effectively. It extracts ridge directional values as feature vectors from the region after searching the feature region by calculating variations of ridge directions, and classifies them using support vector machines. Experimental results with NIST4 database show that we have achieved a classification accuracy of 90.3% for the five-class problem and 93.7% for the four-class problem, and proved the validity of the proposed adaptive method by comparison with non-adaptively extracted feature vectors.

• Korean Institute of Interior Design Journal
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• v.20 no.3
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• pp.33-40
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• 2011

The World exposition is considered as a great event to promote the cultural exchanges of their own urbanism and share the technological developments among the various countries across the all over the world. So many countries in the world desired to host and take part in the EXPO, so far only few countries have had the chance to hold the event and show their uniqueness of urban culture, but we might say the past exhibition as those for display and publication of matters of science, technology and trade, now we must say expositions of the 21th century has come under variations on cultural and informational interchange and humanism from the global issue and problem. What makes possible to maximize the effort of reciprocal communication between people and the public can be the EXPO event as a means of the public information of the theme and this kind of event should suggest the public a message of the topic, message, image and even more the EXPO spirits and theme as an international event gives as much considerably spreading effect as its big scale. In that aspect, the pavilion for the exhibition of EXPO and public information should be recognized as a place for smoothly forming the activities of reciprocal communication between the society and the public, with such a aspect this study, as its purpose of improving as well as communication, concerns the process in projecting the space paradigm of pavilion in the EXPO and public message and information as a means of the communication of the global theme.

• Journal of the Korean Society of Costume
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• v.55 no.4 s.94
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• pp.1-15
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• 2005

For every country, the flag is a major symbol that represents the country. Establishing image though the use of the country's symbol is more important for achieving national competitiveness in this global age. In Korea, Taekuki has not been actively applied to fashion products, however Korean people began to realize the Taekuki as a motif of fashion with 2002 World Cup. Thus, research on fashion product development applying Taekuki is needed. This research developed designs for fashion product development applying Taekuki. In addition, through suggesting various applied motives, this research explored the product possibility of global fashion design that represents Korean identity and fashion. For research method, after research on fashion design process, design development was progressed according to the 4-phases that comprehends processes previous researchers presented. First, in the problem recognition phase, background on the introduction of Taekuki to products and Taekuki fashion during 2002 World Cup was analyzed. Then, the need and possibility of fashion product development applying Taekuki's formative characteristics were found. Second, in research and analysis phase, meaning and history of Taekuki as well as flag fashion product developments in the U.S. and England examples were reviewed. Also, individual interviews with experts and consumers were conducted to collect qualitative data regarding product and design direction. Third, in idealization for problem solving phase, 62 designs including 43 apparels and 19 accessories were emerged. Finally, in evaluation phase, 40 university students majoring design evaluated designs' creativity, function, uniqueness, symbol, aesthetics, and harmony. Through this research, it is expected that fashion products applying Taekuki will be formly established as a fashion item. Furthermore, it is also expected that product development in other categories, brand planning, and product development using other national symbols such as name, anthem, and flower will be followed.