• Title/Summary/Keyword: System boundary

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EXISTENCE OF EVEN NUMBER OF POSITIVE SOLUTIONS TO SYSTEM OF FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS

  • Krushna, B.M.B.;Prasad, K.R.
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.2
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    • pp.255-268
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    • 2018
  • We establish the existence and multiplicity of positive solutions to a coupled system of fractional order differential equations satisfying three-point boundary conditions by utilizing Avery-Henderson functional fixed point theorems and under suitable conditions.

UNIQUENESS AND MULTIPLICITY OF SOLUTIONS FOR THE NONLINEAR ELLIPTIC SYSTEM

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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    • pp.139-146
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    • 2008
  • We investigate the uniqueness and multiplicity of solutions for the nonlinear elliptic system with Dirichlet boundary condition $$\{-{\Delta}u+g_1(u,v)=f_1(x){\text{ in }}{\Omega},\\-{\Delta}v+g_2(u,v)=f_2(x){\text{ in }}{\Omega},$$ where ${\Omega}$ is a bounded set in $R^n$ with smooth boundary ${\partial}{\Omega}$. Here $g_1$, $g_2$ are nonlinear functions of u, v and $f_1$, $f_2$ are source terms.

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BLOW UP OF SOLUTIONS TO A SEMILINEAR PARABOLIC SYSTEM WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY

  • Peng, Congming;Yang, Zuodong
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1435-1446
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    • 2009
  • In this paper we investigate the blow up properties of the positive solutions to a semi linear parabolic system with coupled nonlocal sources $u_t={\Delta}u+k_1{\int}_{\Omega}u^{\alpha}(y,t)v^p(y,t)dy,\;v_t={\Delta}_v+k_2{\int}_{\Omega}u^q(y,t)v^{\beta}(y,t)dy$ with non local Dirichlet boundary conditions. We establish the conditions for global and non-global solutions respectively and obtain its blow up set.

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GLOBAL COUPLING EFFECTS ON A FREE BOUNDARY PROBLEM FOR THREE-COMPONENT REACTION-DIFFUSION SYSTEM

  • Ham, Yoon-Mee
    • Journal of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.659-676
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    • 2006
  • In this paper, we consider three-component reaction-diffusion system. With an integral condition and a global coupling, this system gives us an interesting free boundary problem. We shall examine the occurrence of a Hopf bifurcation and the stability of solutions as the global coupling constant varies. The main result is that a Hopf bifurcation occurs for global coupling and this motion is transferred to the stable motion for strong global coupling.

A Comparative Study of Intonation Phrase Boundary Tones of Korean Produced by Korean Speakers and Chinese Speakers in the Reading of Korean Text (중국인 학습자들의 한국어 억양구 경계톤 실현 양상)

  • Yune, Young-Sook
    • Phonetics and Speech Sciences
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    • v.2 no.4
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    • pp.39-49
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    • 2010
  • The purpose of this paper is to examine how Chinese speakers realize Korean intonation phrase (IP) boundary tones in the reading of a Korean text. Korean IP boundary tones play various roles in speech communication. They indicate prosodic constituents' boundaries while simultaneously performing pragmatic and grammatical functions. In order to express and understand Korean utterances correctly, it is necessary to understand the Korean IP boundary tone system. To investigate the IP boundary tone produced by Chinese speakers, we have specifically examined the type of boundary tones, the degree of internal pitch modulation of boundary tones, and the pitch difference between penultimate syllables and boundary tones. The results of each analysis were compared to the IP boundary tones produced by Korean native speakers. The results show that IP boundary tones were realized higher than penultimate syllables.

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A Study on the Estimation of Underground Parameters by Coupling of Finite and Boundary Elements (유한요소 - 경계요소 조합에 의한 지반매개변수 추정에 관한 연구)

  • 김문겸;장정범;오금호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.04a
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    • pp.28-34
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    • 1995
  • Behavior of underground structural systems is usually complicated because of various unknown parameters. In order to construct those structural systems safely and economically, exact identification of the system parameters and accurate analysis of the system behaviors are essentially required. In this study, a forward analysis program, which is able to eliminate numerical errors due to far field boundary effect, is developed by coupling finite and boundary elements. In this coupled analysis, boundary elements are used in the semi-infinite domain where stress variation is small, and finite elements in the stress concentration region where material nonlinearity should be considered. Then, a back analysis program which can identify the system parameters is developed using the direct method to be combined with the forward analysis program. The elastic modulus and initial stress, which are most important in the description of the behavior of underground structures, are taken as the system parameters. A simple example is examined 0 show that the method can be used effectively.

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Multi-Domain Structural-Acoustic Coupling Analysis Using the Finite Element and Boundary Element Techniques

  • Ju, Hyeon-Don;Lee, Shi-Bok
    • Journal of Mechanical Science and Technology
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    • v.15 no.5
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    • pp.555-561
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    • 2001
  • A new approach to analyze the multi-domain acoustic system divided and enclosed by flexible structures is presented in this paper. The boundary element formulation of the Helmholtz integral equation is used for the internal fields and the finite element formulation for the structures surrounding the fields. We developed a numerical analysis program for the structural-acoustic coupling problems of the multi-domain system, in which boundary conditions such as the continuity of normal particle velocity and sound pressure in the structural interfaces between Field 1 and Field 2 are not needed. The validity of the numerical analysis program is verified by comparing the numerical results with the experimental ones. Example problems are included to investigate the characteristics of the coupled multi-domain system.

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Named Entity Boundary Recognition Using Hidden Markov Model and Hierarchical Information (은닉 마르코프 모델과 계층 정보를 이용한 개체명 경계 인식)

  • Lim, Heui-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.2
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    • pp.182-187
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    • 2006
  • This paper proposes a method for boundary recognition of named entity using hidden markov model and ontology information of biological named entity. We uses smoothing method using 31 feature information of word and hierarchical information to alleviate sparse data problem in HMM. The GENIA corpus version 2.1 was used to train and to experiment the proposed boundary recognition system. The experimental results show that the proposed system outperform the previous system which did not use ontology information of hierarchical information and smoothing technique. Also the system shows improvement of execution time of boundary recognition.

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Design and Implementation of a Boundary Matching System Supporting Partial Denoising for Large Image Databases

  • Kim, Bum-Soo;Kim, Jin-Uk
    • Journal of the Korea Society of Computer and Information
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    • v.24 no.5
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    • pp.35-40
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    • 2019
  • In this paper, we design and implement a partial denoising boundary matching system using indexing techniques. Converting boundary images to time-series makes it feasible to perform a fast search using indexes even on a very large image database. Thus, using this converting method we develop a client-server system based on the previous partial denoising research in the GUI(graphical user interface) environment. The client first converts a query image given by a user to a time-series and sends denoising parameters and the tolerance with this time-series to the server. The server identifies similar images from the index by evaluating a range query, which is constructed using inputs given from the client and sends the resulting images to the client. Experimental results show that our system provides many intuitive and accurate matching results.

1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake

  • Zhao, Mi;Yin, Houquan;Du, Xiuli;Liu, Jingbo;Liang, Lingyu
    • Earthquakes and Structures
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    • v.9 no.1
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    • pp.173-194
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    • 2015
  • Site response analysis is an important topic in earthquake engineering. A time-domain numerical method called as one-dimensional (1D) finite element artificial boundary method is proposed to simulate the homogeneous plane elastic wave propagation in a layered half space subjected to the obliquely incident plane body wave. In this method, an exact artificial boundary condition combining the absorbing boundary condition with the inputting boundary condition is developed to model the wave absorption and input effects of the truncated half space under layer system. The spatially two-dimensional (2D) problem consisting of the layer system with the artificial boundary condition is transformed equivalently into a 1D one along the vertical direction according to Snell's law. The resulting 1D problem is solved by the finite element method with a new explicit time integration algorithm. The 1D finite element artificial boundary method is verified by analyzing two engineering sites in time domain and by comparing with the frequency-domain transfer matrix method with fast Fourier transform.