• 제목/요약/키워드: Particular Solution

검색결과 1,088건 처리시간 0.026초

NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

  • Pak, Hee Chul;Chang, Sang-Hoon
    • 충청수학회지
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    • 제23권4호
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    • pp.773-784
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    • 2010
  • The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: $$\frac{\partial}{{\partial}t}u-{\Delta}u=F(u)$$ is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear functions $F(u){\equiv}{\mid}u{\mid}e^{u^2}$ and $F(u){\equiv}e^u$ of rapid growth.

TIME PERIODIC SOLUTION FOR THE COMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS WITH EXTERNAL FORCES IN ℝ3

  • Qingfang Shi;Xinli Zhang
    • 대한수학회지
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    • 제60권3호
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    • pp.587-618
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    • 2023
  • In this paper, we consider the existence of time periodic solutions for the compressible magneto-micropolar fluids in the whole space ℝ3. In particular, we first solve the problem in a sequence of bounded domains by the topological degree theory. Then we obtain the existence of time periodic solutions in ℝ3 by a limiting process.

다분적 지시크리깅에 있어서 순서문제에 관한 연구 (A Solution for Order Relation Problems in Multiple Indicator Kriging)

  • 유광호
    • 한국지반공학회지:지반
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    • 제11권3호
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    • pp.17-26
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    • 1995
  • Sullivan(1984)에 의한 제안과 모든 경계값에서의 추정분산값의 합을 최소화하는 개념을 포함하는 동시에, 다분적 지시크리깅에 있어서의 순서문제를 해결하기 위한 방법이 모색되었다. 최적화 문제를 이용함으로써 해결방법이 개발되었는데, 이는 원래 지시크리깅을 위해 요구되는 계산보다 약간의 계산을 더 함으로써 가능하다. 따라서 제안된 방법은 현재 많이 사용되는 다른 임시 방편적인 해결방법들 보다 계산상 효율적인 동시에, 수학적으로도 모순되지 않는 명확한 추계적 원리에 근거를 둔 방법이다.

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A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION

  • Ning, Yang;Sun, Mingzhe;Piao, Guangri
    • East Asian mathematical journal
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    • 제33권5호
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    • pp.495-509
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    • 2017
  • With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.

초기 운전점 선정을 통한 배전계통 최적 재구성에 관한 연구 (A study of Optimal Reconfiguration in Distribution Power System using Initial Operating Point)

  • 서규석;김정년;백영식
    • 전기학회논문지
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    • 제56권3호
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    • pp.451-456
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    • 2007
  • This paper presents a problem that reconfigure distribution power system using branch exchange method. Optimal reconfiguration problem calculates line loss, voltage condition about system states of all situations that become different according to line On/off status, and search for optimum composition of these. However, result is difficult to be calculated fast. Because radiated operation condition of system is satisfied using many connection and sectionalize switches in the distribution power system. Therefore, in this paper, optimization method for reducing system total loss and satisfying operating condition of radial and constraints condition of voltage is proposed using the fastest branch exchange. And optimal solution at branch exchange algorithm can be wrong estimated to local optimal solution according to initial operating state. Considering this particular, an initial operating point algorithm is added and this paper showed that optimal solution arrives at global optimal solution.

J-integral calculation by domain integral technique using adaptive finite element method

  • Phongthanapanich, Sutthisak;Potjananapasiri, Kobsak;Dechaumphai, Pramote
    • Structural Engineering and Mechanics
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    • 제28권4호
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    • pp.461-477
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    • 2008
  • An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near crack tips. The domain integral technique, for which all relevant quantities are integrated over any arbitrary element areas around the crack tips, is utilized as the J-integral solution scheme with 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure onto a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Several benchmark problems are analyzed to evaluate the efficiency of the combined domain integral technique and the adaptive finite element method.

저전력 스위칭 전원회로에서의 EMI 분석 및 대책 (EMI Analysis and Solution for Low Power Switching Power Supply)

  • 정용채
    • 전력전자학회논문지
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    • 제6권2호
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    • pp.141-148
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    • 2001
  • 스위칭 전원회로에서의 EMI대책에는 여러 가지 것들이 있다. 이는 크게 노이즈 원에서의 대책, 경로 대책 그리고 필터 대책으로 나뉠 수 있다. 본 논문에서는 쉽게 필터 대책을 할 수 있는 방법을 간단히 설명하고 경로 대책에 관해서 집중적으로 검토한다. 특히 요즘에 폭넓게 사용되어지는 각종 SMPS에 대하여 샤시 유무에 따른 EMI감쇠 방법을 제시하고 10W급 플라이백 SMPS를 이용하여 이러한 방법들을 시험을 통해서 확인했다.

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Performance of Dual Polarized MIMO System using Six-Port Receiver for Cognitive Radio

  • 이상엽;양완철;이정석;김학선
    • 방송과미디어
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    • 제11권1호
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    • pp.78-85
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    • 2006
  • Cognitive radio is a paradigm for wireless communication in which either network of wireless node itself changes particular transmission or reception parameters to execute its tasks efficiently without interfering with the licensed users. This paper represents a performance of the cognitive radio technology on dual polarized MIMO system using six-port receiver. Six-port technology is well known direct conversion receiver. In this paper, a six-port phase discriminator based polarization signal separation is shown. That is, the SER(Symbol Error Rate) performance is improved using polarization separator and simple receiver architecture is proposed applying six-port receiver. The six-port technology has priority to adapt changeable frequency system and variable environments for cognitive radio. In general, dual polarized MIMO system has good capacity and quality using polarization separator [1].

Evaluation of Electrokinetic Flow Mobility Using Isotacho-Electrophoresis Techniques

  • An, J.H.;Joo, Y.H.;Lee, C.Y.;Lee, Y.J.;Park, C.W.
    • Journal of Magnetics
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    • 제16권4호
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    • pp.444-448
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    • 2011
  • In the present study, we separated the marker particles from the suspending particle mixture solution using isotacho-electrophoresis technique, a novel quantitative ionic particle separation method, in the microchannel. A multiple stacking zone of the suspending particle was visualized with variations in electric field strength, pH value and concentration of the ionic solution. In particular, the electrophoretic mobility of ionic particle (fluorescein) was estimated based on the electrophoretic velocity value measured by the particle image velocimetry. As a result, isotacho-electrophoresis zones were clearly visualized as going downstream in the electric field. The particle migration velocity increased proportional to the applied voltage increase; it was also affected by the pH value variations in the ionic solution.

Functional Inks for Printed Electronics

  • Choi, Young-Min;Jeong, Sun-Ho
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 2012년도 춘계학술발표대회
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    • pp.63.1-63.1
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    • 2012
  • In recent years, the functional inks for printed electronics that can be combined with a variety of printing techniques have attracted increasingly significant interest for use in low cost, large area, high performance integrated electronics and microelectronics. In particular, the development of solution-processable conductor, semiconductor and insulator materials is of great importance as such materials have decisive impacts on the electrical performance of various electronic devices, and, therefore, need to meet various requirements including solution processability, high electrical performance, and environmental stability. Semiconductor inks such as IGO, CIGS are synthesized by chemical solution method and microwave reaction method for TFT and solar cell application. Fine circuit pattern with high conductivity, which is valuable for flexible electrode for PCB and TSP devices, can be printed with highly concentrated and stabilized conductor inks such as silver and copper. Solution processed insulator such as polyimide derivatives can be use to all printed TFT device. Our research results of functional inks for printed electronics provide a recent trends and issues on this area.

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