• Title/Summary/Keyword: Well-posed

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Research about Design Space for both Working and Living (주거를 겸한 업무공간의 공간계획에 관한 연구)

  • 황복득;유수상
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2002.04a
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    • pp.82-85
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    • 2002
  • The purpose of this research is find basic data for the design of space for both living and working. This research, is based on research, well known throughout the world, that are related to the design of space for both working and living. In addition the fundamental data, which I used, are also basically focused on putting practical use to the space. With that goal in mind, the research has been proved through the following four means. Firstly, common theories about space for working and living were studios. Secondly, patterns and elements that makeup space for those kinds of places were investigated. Thirdly, the nine example places, that have been chosen were analyzed in order to outline, the space types, the elements that makeup the space and problems posed. Finally, the solution found that will resolve the problems exposed, has been presented.

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GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES

  • Cui, Yiwen;Xiao, Weiliang
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1393-1408
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    • 2020
  • In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.

DOUBLE VERTEX-EDGE DOMINATION IN TREES

  • Chen, Xue-Gang;Sohn, Moo Young
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.167-177
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    • 2022
  • A vertex v of a graph G = (V, E) is said to ve-dominate every edge incident to v, as well as every edge adjacent to these incident edges. A set S ⊆ V is called a double vertex-edge dominating set if every edge of E is ve-dominated by at least two vertices of S. The minimum cardinality of a double vertex-edge dominating set of G is the double vertex-edge domination number γdve(G). In this paper, we provide an upper bound on the double vertex-edge domination number of trees in terms of the order n, the number of leaves and support vertices, and we characterize the trees attaining the upper bound. Finally, we design a polynomial time algorithm for computing the value of γdve(T) for any trees. This gives an answer of an open problem posed in [4].

HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC EQUATIONS WITH NONLINEAR COEFFICIENTS

  • MINAM, MOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.4
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    • pp.244-262
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    • 2022
  • In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-order elliptic equations with nonlinear coefficients, which are used in many fields. We present the HDG method that uses a mixed formulation based on numerical trace and flux. Under assumptions on the nonlinear coefficient and H2-regularity for a dual problem, we prove that the discrete systems are well-posed and the numerical solutions have the optimal order of convergence as a mesh parameter. Also, we provide a matrix formulation that can be calculated using an iterative technique for numerical experiments. Finally, we present representative numerical examples in 2D to verify the validity of the proof of Theorem 3.10.

CONTINUOUS DATA ASSIMILATION FOR THE THREE-DIMENSIONAL LERAY-α MODEL WITH STOCHASTICALLY NOISY DATA

  • Bui Kim, My;Tran Quoc, Tuan
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.1
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    • pp.93-111
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    • 2023
  • In this paper we study a nudging continuous data assimilation algorithm for the three-dimensional Leray-α model, where measurement errors are represented by stochastic noise. First, we show that the stochastic data assimilation equations are well-posed. Then we provide explicit conditions on the observation density (resolution) and the relaxation (nudging) parameter which guarantee explicit asymptotic bounds, as the time tends to infinity, on the error between the approximate solution and the actual solution which is corresponding to these measurements, in terms of the variance of the noise in the measurements.

Disney's Entry into Streaming Services and the Shifting Media Terrain in the U.S.

  • Jeongsuk Joo
    • International Journal of Advanced Culture Technology
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    • v.11 no.2
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    • pp.291-297
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    • 2023
  • This paper intends to shed light on how the advent of streaming services pioneered by Netflix has been affecting the media landscape in the U.S. by looking at Disney's entry into streaming services and what effects this might have had. The paper first looks at the rise of Netflix, the disruptive impact it had on cable and film businesses, and the challenges this has posed to traditional media conglomerates like Disney. In this context, the paper examines Disney's decision to enter into streaming services as a move to counter both these challenges and Netflix's growing power. Finally, the paper notes the changes Disney's entry is likely to bring about, notably the continued disruption of film and television as streaming business expands, as well as the potential of Disney's streaming services to challenge Netflix and further strengthen its media empire.

THE CAUCHY PROBLEM FOR AN INTEGRABLE GENERALIZED CAMASSA-HOLM EQUATION WITH CUBIC NONLINEARITY

  • Liu, Bin;Zhang, Lei
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.267-296
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    • 2018
  • This paper studies the Cauchy problem and blow-up phenomena for a new generalized Camassa-Holm equation with cubic nonlinearity in the nonhomogeneous Besov spaces. First, by means of the Littlewood-Paley decomposition theory, we investigate the local well-posedness of the equation in $B^s_{p,r}$ with s > $max\{{\frac{1}{p}},\;{\frac{1}{2}},\;1-{\frac{1}{p}}\},\;p,\;r{\in}[0,{\infty}]$. Second, we prove that the equation is locally well-posed in $B^s_{2,r}$ with the critical index $s={\frac{1}{2}}$ by virtue of the logarithmic interpolation inequality and the Osgood's Lemma, and it is shown that the data-to-solution mapping is $H{\ddot{o}}lder$ continuous. Finally, we derive two kinds of blow-up criteria for the strong solution by using induction and the conservative property of m along the characteristics.

Maneuvering Target Tracking Using Error Monitoring

  • Fang, Tae-Hyun;Park, Jae-Weon;Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.329-334
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    • 1998
  • This work is concerned with the problem of tracking a maneuvering target. In this paper, an error monitoring and recovery method of perception net is utilized to improve tracking performance for a highly maneuvering tar-get. Many researches have been performed in tracking a maneuvering target. The conventional Interacting Multiple Model (IMM) filter is well known as a suboptimal hybrid filter that has been shown to be one of the most cost-effective hybrid state estimation scheme. The subfilters of IMM can be considered as fusing its initial value with new measurements. This approach is also shown in this paper. Perception net based error monitoring and recovery technique, which is a kind of geometric data fusion, makes it possible to monitor errors and to calibrate possible biases involved in sensed data and extracted features. Both detecting a maneuvering target and compensating the estimated state can be achieved by employing the properly implemented error monitoring and recovery technique. The IMM filter which employing the error monitoring and recovery technique shows good tracking performance for a highly maneuvering target as well as it reduces maximum values of estimation errors when maneuvering starts and finishes. The effectiveness of the pro-posed method is validated through simulation by comparing it with the conventional IMM algorithm.

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Preventive effects of sea cucumber (Apostichopus japonicus) ethanol extract on palmitate-induced vascular injury in vivo

  • Zhang, Chunying;Cha, Seon-Heui
    • Fisheries and Aquatic Sciences
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    • v.25 no.2
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    • pp.90-100
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    • 2022
  • Cardiovascular diseases (CVDs) have posed serious public health problems, accounting for nearly 30% of mortality worldwide and their incidence is still increasing. Therefore, new treatment resources are necessary to prevent or manage the ever-increasing population of patients with CVDs. Sea cucumber is well known for its medical and health benefit effects, but it is not well known what/how effect it has on vascular disease. In the present study, we examined the protect effect of sea cucumber, Apostichopus japonicus 80% ethanol extract (AJE) on zebrafish embryo with the stimulation of free fatty acid, palmitate (PA). In vivo study showed that AJE can attenuate PA-induced toxicity through relieving the rapid heartbeat, increasing the survival rate and reducing the malformation in both wild type and Tg (fli1a:eGFP) transgenic zebrafish lines. Additionally, compare with PA treated embryos, the yolk sac area, body length, axial vascular segment (AVS) and intersegmental vessel (ISV) of the co-treatment group of AJE and PA were comparable to the control group. Moreover, AJE lowered the expression of inducible nitric oxide synthase (iNOS), nitric oxide (NO) and inflammation-related genes induced by PA, and inhibited PA-induced vascular development disorders. Our data preliminarily verify that AJE could be a candidate resource for the prevention or therapy of CVDs.

Hyundai Motor's Global Marketing Strategy: "New Thinking. New Possibilities."

  • Kang, Wooseong;Kim, Youngchan;Yoo, Changjo
    • Asia Marketing Journal
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    • v.16 no.1
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    • pp.215-228
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    • 2014
  • The automotive industry plays a significant role in the global economy. One of the reasons is that this industry compasses every aspects of the value chain - from raw materials to design and development, manufacturing, sales and services, and even disposal. Thus, the industry needs significant upfront capital investment and requires years of R&D and market development. As a result, this industry is dominated by a handful of global players and it is not easy for a new entrant to enter this industry. Furthermore, success is even more difficult to achieve. How did Hyundai Motor make it in this tough marketplace? Can it continue against all odds? The CAGR for last 5 years is 12% and it stands at 6th in the world. Compared to other global brands, Hyundai has geographically well-balanced sales portfolio. The quality improvement is outstanding. The brand performance follows these quality and sales improvements. Yet, the global competition is ever intensifying. Now, it is the time to step up once more. The next strategic goal needs fundamental shift toward brand and marketing-focus. In constructing global marketing strategy, Hyundai Motor's vision is "Lifetime partner in mobility and beyond" and its goal is global top 3 brand by year 2015 through modern premium brand image and selling 5 million vehicles. The target brand positioning of Hyundai Motor is the leading position in premium dimension and stylish/modern dimension. The global brand strategy framework is based on the brand direction of "Modern Premium" and is designed to deliver core brand identity (i.e., Simple, Creative, Caring) to customers. In order to manage brand performance, Hyundai's marketing platformalso includes marketing performance management, brand performance management, and market driven organization. From this diagnosis, Hyundai Motor is well posed to build a strong brand. Nevertheless, there are still challenges ahead from consumer, technology, competitor, and macro-environment perspectives. To overcome these threats, the bases of competition for all successful automotive brands are various differentiation factors, including technology, performance, value proposition, or heritage. Hyundai Motor is well prepared so far. However, it is not tested against time yet whether Hyundai can overcome these unforeseeable major threats. Hyundai is trying to find the solution from a strong brand, while believing in "New Thinking. New Possibilities."

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