• Title/Summary/Keyword: global uniqueness

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Global stabilization of three-dimensional flexible marine risers by boundary control

  • Do, K.D.
    • Ocean Systems Engineering
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    • v.1 no.2
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    • pp.171-194
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    • 2011
  • A method to design a boundary controller for global stabilization of three-dimensional nonlinear dynamics of flexible marine risers is presented in this paper. Equations of motion of the risers are first developed in a vector form. The boundary controller at the top end of the risers is then designed based on Lyapunov's direct method. Proof of existence and uniqueness of the solutions of the closed loop control system is carried out by using the Galerkin approximation method. It is shown that when there are no environmental disturbances, the proposed boundary controller is able to force the riser to be globally exponentially stable at its equilibrium position. When there are environmental disturbances, the riser is stabilized in the neighborhood of its equilibrium position by the proposed boundary controller.

LONG-TIME BEHAVIOR OF SOLUTIONS TO A NONLOCAL QUASILINEAR PARABOLIC EQUATION

  • Thuy, Le Thi;Tinh, Le Tran
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1365-1388
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    • 2019
  • In this paper we consider a class of nonlinear nonlocal parabolic equations involving p-Laplacian operator where the nonlocal quantity is present in the diffusion coefficient which depends on $L^p$-norm of the gradient and the nonlinear term is of polynomial type. We first prove the existence and uniqueness of weak solutions by combining the compactness method and the monotonicity method. Then we study the existence of global attractors in various spaces for the continuous semigroup generated by the problem. Finally, we investigate the existence and exponential stability of weak stationary solutions to the problem.

Human Action Recognition Based on An Improved Combined Feature Representation

  • Zhang, Ning;Lee, Eung-Joo
    • Journal of Korea Multimedia Society
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    • v.21 no.12
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    • pp.1473-1480
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    • 2018
  • The extraction and recognition of human motion characteristics need to combine biometrics to determine and judge human behavior in the movement and distinguish individual identities. The so-called biometric technology, the specific operation is the use of the body's inherent biological characteristics of individual identity authentication, the most noteworthy feature is the invariance and uniqueness. In the past, the behavior recognition technology based on the single characteristic was too restrictive, in this paper, we proposed a mixed feature which combined global silhouette feature and local optical flow feature, and this combined representation was used for human action recognition. And we will use the KTH database to train and test the recognition system. Experiments have been very desirable results.

THE NEUMANN PROBLEM FOR A CLASS OF COMPLEX HESSIAN QUOTIENT EQUATIONS

  • Yuying Qian;Qiang Tu;Chenyue Xue
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.4
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    • pp.999-1017
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    • 2024
  • In this paper, we study the Neumann problem for the complex Hessian quotient equation ${\frac{{\sigma}_k({\tau}{\Delta}uI+{\partial}{\bar{\partial}u)}}{{\sigma}_l({\tau}{\Delta}uI+{\partial}{\bar{\partial}u)}}}={\psi}$ with 0 ≤ 𝑙 < k ≤ n. We prove a priori estimate and global C1 estimates, in particular, we use the double normal second derivatives on the boundary to establish the global C2 estimates and prove the existence and the uniqueness for the Neumann problem of the above complex Hessian quotient equation.

Factors of Attitude and Purchase Intention toward Fashion Cultural Products with a Korean Image - Comparison of Korean and American Consumers - (한국적 이미지의 패션문화상품에 대한 태도 및 구매의도 영향요인 - 한국과 미국 소비자의 비교 연구 -)

  • Cho, Yoon-Kyung;Lee, Yu-Ri
    • Journal of the Korean Society of Costume
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    • v.59 no.4
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    • pp.54-66
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    • 2009
  • An empirical study was conducted on fashion cultural products with Korean image, targeting Korean and American consumers. Its purpose was to identify Korean and English consumers' attitude and purchase intention and to compare difference of its influence factor toward fashion cultural products of which design sources were derived from the Korean culture. The quantitative research using on-line questionnaires was targeted at American and Korean consumers. A total of 400 responses were used in the analysis. Results of data analyses using SPSS 13.0, are as following. First, for American consumers, uniqueness-seeking had a positive effect on attitude toward of cultural product with Korean image, followed by service of salespersons, change-seeking, and appearance of salespersons. For Korean consumers, easy accessibility was significantly related to attitude. Second, for American consumers, uniqueness-seeking and appearance of salespersons had a significant influence on the purchase intention of the cultural product with Korean image. For Korean consumers, no attributes were related to purchase intention. This research about fashion cultural products that will compete in the global market presents exploratory information targeting domestic and foreign consumers and will contribute to the strategic aspect of newly growing high-added-value industries.

QUALITATIVE PROPERTIES OF WEAK SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH NONLOCAL SOURCE AND GRADIENT ABSORPTION

  • Chaouai, Zakariya;El Hachimi, Abderrahmane
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1003-1031
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    • 2020
  • We consider the following Dirichlet initial boundary value problem with a gradient absorption and a nonlocal source $$\frac{{\partial}u}{{\partial}t}-div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)={\lambda}u^k{\displaystyle\smashmargin{2}{\int\nolimits_{\Omega}}}u^sdx-{\mu}u^l{\mid}{\nabla}u{\mid}^q$$ in a bounded domain Ω ⊂ ℝN, where p > 1, the parameters k, s, l, q, λ > 0 and µ ≥ 0. Firstly, we establish local existence for weak solutions; the aim of this part is to prove a crucial priori estimate on |∇u|. Then, we give appropriate conditions in order to have existence and uniqueness or nonexistence of a global solution in time. Finally, depending on the choices of the initial data, ranges of the coefficients and exponents and measure of the domain, we show that the non-negative global weak solution, when it exists, must extinct after a finite time.

The Development of Shirt Design Utilizing the Structural Characteristics of Traditional Korean upper Garments - Focusing on Fashion Cultural Products - (한국 전통복식 상의(上衣)류의 구조적인 특징을 활용한 셔츠디자인개발 - 패션문화상품을 중심으로 -)

  • Eunjoo Choi
    • Fashion & Textile Research Journal
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    • v.25 no.4
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    • pp.439-448
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    • 2023
  • Korea's original traditional costume designs have a great potential to be re-imagined from a global perspective and developed into high-value-added fashion culture products that can enter the international market. This study applied the structural features of traditional clothing to the design of fashion cultural products. This study developed designs using Beja, Sagyusam, Aekjuem-po, Danlyeong, Cheolrik, Jang-jegori of Korea. To the best of our knowledge, this study is the first to conduct a literature survey of traditional Korean clothing. We designed shirts using Adobe Illustrator and created a pattern with the Yuka program. This design was applied to a three dimensional virtual dressing system called CLO. A survey of individual interest in developed fashion cultural products was also conducted. The shirt designs were obtained by applying the details and structural characteristics of traditional Korean clothing. Among the six shirt designs, when asked which design would be suitable for wearing, gifting, or uniform, the shirts with the design of Danlyeong, Beja, and Sagyusam were generally highly preferred. This study can be used as basic data for the global market for fashion cultural products, and can contribute to the inheritance and development of culture and tradition by maintaining Korea's uniqueness in the modern global era and increasing tourism revenue.

A Study on Fashion Design Applied Early 20th Century Art and Korean Factor-focusing on Casual Wear- (20세기 전반기 회화와 한국적 요소를 응용한 의상디자인 연구 -캐쥬얼 웨어를 중심으로-)

  • 전현경;송미령
    • The Research Journal of the Costume Culture
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    • v.9 no.3
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    • pp.511-522
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    • 2001
  • Various art trends of the 20th century that contributed to the creation and development of abstract art had showed the transition from the convention of mere representation of the object to the formative sensitivity emphasizing self-expression. Noticing that such trends had influenced the fashion industry to move toward a free and individualized style, this study attempts to express the formative way from the existing art to wear, especially, based on early 20th century paintings, 5 casual wears were made which applied korean materials and silhouettes that are functional, sample and show traditional korea beauty. The purpose of this study is to search for a solution to expand the world market by producing dresses utilizing our own tradition that can be distinguished in the global market and that derive inspiration from the formative of the sensitivity of the paintings during the first half of the 20th century. It also aims to let national economy as a high-added industry. The result of this study are as follows: First, the expression method and element of various styles of art such as Fauvism, Expressionism and Cubism, during the period of transition to abstract art, clearly presented the direction toward the artistic liberation and made possible a new formative artistic expression of dress in the early years of the 20th century. Their ideas inspired the dress designers of the time with a reformative and creative sense of fashion and have greatly contributed to the development of a new era of uniqueness and individuality. Second, the color and the simplicity of form of the early 20th century paintings are suitable fro utilizing a motive of functional dresses and express unique and concise modern beauty. Third, it was confirmed that utilizing our tradition in contemporary dress can be a significant method of creation in which the uniqueness and creativity of Korean dress can be expressed, distinguishing it on the global scene, as well as inspire the originality and pride of our culture. Fourth, a possibility has been discovered. It is the functionality and uniqueness of aesthetic expression technique of the contemporary arts that can contribute to the fashion of tomorrow, by searching a modern fashion which was affected by the past and also by taking a look at the trend of modern fashion as the same field as casula wear.

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Measuring AGN Core-shift Effect by Extended KVN with Global Baselines

  • Jung, Taehyun;Dodson, Richard;Han, Seog-Tae;Byun, Do-Young;Sohn, Bong Won;Rioja, Maria J.;Honma, Mareki;Stevens, Jamie;de Vincente, Pablo
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.43.3-44
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    • 2015
  • Very Long Baseline Interferometry (VLBI) at millimeter wavelengths results in the highest angular resolutions achieved in astronomy and has a unique access to emission regions that are inaccessible with any other approach or at longer wavelengths. The simultaneous multi-frequency VLBI system in the Korean VLBI Network (KVN) is considered one of the most effective systems for compensating the atmospheric phase fluctuations, which is particularly bothersome at mm-VLBI. We have been demonstrating its performance and uniqueness at mm-VLBI observations. As a results, international VLBI partners from Japan, China, Australia and EU have expressed their interest on the KVN style simultaneous multi-frequency system. In this talk, we will report the activities for extending the simultaneous multi-frequency system to global VLBI network and introduce its science driver, measuring AGN core-shift effects.

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GLOBAL THEORY OF VERTICAL RECURRENT FINSLER CONNECTION

  • Soleiman, Amr
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.593-607
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    • 2021
  • The aim of the present paper is to establish an intrinsic generalization of Cartan connection in Finsler geometry. This connection is called the vertical recurrent Finsler connection. An intrinsic proof of the existence and uniqueness theorem for such connection is investigated. Moreover, it is shown that for such connection, the associated semi-spray coincides with the canonical spray and the associated nonlinear connection coincides with the Barthel connection. Explicit intrinsic expression relating this connection and Cartan connection is deduced. We also investigate some applications concerning the fundamental geometric objects associated with this connection. Finally, three important results concerning the curvature tensors associated to a special vertical recurrent Finsler connection are studied.