• Title/Summary/Keyword: fundamental solution.

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A Fundamental Study on the Development of Nutrient Solution Cooling System Utilizing Ground Water (지하수를 이용한 양액냉각시스템 개발에 관한 기초적 연구)

  • 남상운;김문기;손정익
    • Proceedings of the Korean Society for Bio-Environment Control Conference
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    • 1993.05a
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    • pp.12-13
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    • 1993
  • 우리나라의 기상입지 특성상 여름철 온실 내에서 작물의 정상생육을 기대하는 것은 곤란하므로, 주년재배를 위한 여름철 온실내 환경의 호적화는 온실재배 당면의 연구과제라 할 것이다. 더우기 막대한 일사부하로 인하여 온실냉방은 경제적으로 불가능한 실정이므로 다른 방법을 강구해야 한다. 그런데 수경재배에 있어서는 비교적 근권부환경의 조절이 쉬우므로, 온실의 충분한 환기 및 차광과 더불어 양액의 냉각을 통하여 작물의 고온스트레스를 줄임으로써 안정생산을 가능하게 할 수 있을것으로 생각한다. (중략)

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NORM CONVERGENCE OF THE LIE-TROTTER-KATO PRODUCT FORMULA AND IMAGINARY-TIME PATH INTEGRAL

  • Ichinose, Takashi
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.337-348
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    • 2001
  • The unitary Lie-Trotter-Kato product formula gives in a simplest way a meaning to the Feynman path integral for the Schroding-er equation. In this note we want to survey some of recent results on the norm convergence of the selfadjoint Lie-Trotter Kato product formula for the Schrodinger operator -1/2Δ + V(x) and for the sum of two selfadjoint operators A and B. As one of the applications, a remark is mentioned about an approximation therewith to the fundamental solution for the imaginary-time Schrodinger equation.

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SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY

  • Hwang, Jin-Soo;Nakagiri, Shin-Ichi;Tanabe, Hiroki
    • Journal of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.867-885
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    • 2011
  • We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.

PERTURBATION RESULTS FOR HYPERBOLIC EVOLUTION SYSTEMS IN HILBERT SPACES

  • Kang, Yong Han;Jeong, Jin-Mun
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.13-27
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    • 2014
  • The purpose of this paper is to derive a perturbation theory of evolution systems of the hyperbolic second order hyperbolic equations. We give an example of a partial functional equation as an application of the preceding result in case of the mixed problems for hyperbolic equations of second order with unbounded principal operators.

Near field Analysis of HTS Microstrip Antenna using Finte Element Method (유한요소법을 이용한 고온초전도 마이크로스트립 안테나 주변 저.자장 해석)

  • 정동철;박성진;허원일;한병성;구할본
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1995.11a
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    • pp.324-327
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    • 1995
  • In this research, FEM solution to analysis near field of high Tc superconductor microstrip antenna is presented. This method uses the interpolation function with vector edge triangular element. The advantage of this element is elimination of spurious solutions which are attributed to the lack of enforcement of the divergence condition. The solutions of this method will be used to have a good fundamental data for next reaserch about analysis of HTS microstrip array antenna etc.

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Fundamental Study on the Limit of Thermographic Survey Applied to Detection of Void in Concrete (적외선법을 이용한 콘크리트 공동의 적용한계에 관한 기초적 연구)

  • ;Tanigawa Yasuo
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.799-806
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    • 1999
  • This study describes the results of experiment and numerical analysis for heating image by thermographic method when the size of void in concrete are changed. By comparing analytical solution by finite element method with measured image by thermography, the relationships between the surface temperature which can be confirmed by this method, the size of void and optimum time for detection of void and the difference of temperature are cleared.

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A Study on the Properties of Underwater Concrete using various Anti-washout Admixtures (수중불분리성혼화제 사용 수중콘크리트의 제물성에 관한 연구)

  • 문한영;김진철;유정훈;이재준
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.04a
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    • pp.267-270
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    • 1998
  • Recently, underwater concrete constructions are increasing. Therefore it is considered important to control the quality of underwater concrete. In this paper, we have an intention of evaluating fundamental properties of underwater concrete using the anti-washout admixtures. Thus, it has been investigated that the setting slump flow of the concrete, pH value and suspended solids in solution, compressive strength on both of specimens made above and under water. Also the percentage of fine aggregate has been found to alter the compressive strength in underwater concrete.

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ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS

  • Murty, M.S.N.;Kumar, G. Suresh
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1361-1378
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    • 2008
  • This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.

OPTION PRICING UNDER GENERAL GEOMETRIC RIEMANNIAN BROWNIAN MOTIONS

  • Zhang, Yong-Chao
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1411-1425
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    • 2016
  • We provide a partial differential equation for European options on a stock whose price process follows a general geometric Riemannian Brownian motion. The existence and the uniqueness of solutions to the partial differential equation are investigated, and then an expression of the value for European options is obtained using the fundamental solution technique. Proper Riemannian metrics on the real number field can make the distribution of return rates of the stock induced by our model have the character of leptokurtosis and fat-tail; in addition, they can also explain option pricing bias and implied volatility smile (skew).

Numerical Simulations of Unsteady Natural Convection (비정상 자연대류의 수치 계산)

  • Kwak Ho Sang;Hyun Jae Min
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.10-15
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    • 1997
  • Unsteady natural convection of an enclosed fluid has been one of the fundamental thermo-fluid problems, of which dynamic relevance is found in many engineering applications. Together with the inherent coupling between the boundary layers and the interior core, and strong interaction between flow and temperature fields, the unsteadiness poses serious hurdles for analytical and experimental approaches. With the recent development of computers and solution algorithms, computational fluid dynamics has become the prevailing tool to tackle the underlying problems. In this presentation, a few examples of numerical studies are introduced. The usefulness and potential of numerical simulations in investigating unsteady natural convection are elaborated.

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