• 한국수학사학회지
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• 제31권5호
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• pp.211-222
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• 2018

This paper surveys the theory of symmetry group of differential equations. A proof of the simplest version of the Noether's theorem on conservation laws has been presented with examples in the classical mechanics. As a new approach to the conservation laws the theory of characteristic cohomology due to S. H. Wang and others has been presented.

• 충청수학회지
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• 제10권1호
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• pp.71-85
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• 1997

In this paper we find sufficient conditions of existence of the nonlinear ODE ($P_{\epsilon}$) which is induced by the nonlinear hyperbolic system of conservation laws in several space variables.

• 충청수학회지
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• 제12권1호
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• pp.73-93
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• 1999

In this paper we prove the existence of solutions for the nonlinear hyperbolic system of conservation laws in several space variables provided that the initial data are very close to each other. We also give an example and discuss the existence of solutions for large initial data.

• 대한수학회보
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• 제33권4호
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• pp.521-530
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• 1996

This paper treats the existence of odd solutions of the Cauchy problem for a perturbation of a conservation law.

• 한국환경과학회지
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• 제13권10호
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• pp.871-882
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• 2004

Korea's national park system resembles that of Japan in many ways. In this study, National park Systems of the two countries are compared from a standpoint of their historical backgrounds to be formed and in aspect of its conservation by the main revision of national park laws in perspective. In conclusion it was found out that Korea's toleration-based regulations on building park amenities have gradually neglected the park conservation effort, whereas Japan's authorization-oriented regulations have streng thened their emphasis on park conservation. From the comparison as above, the polices to be modified for Korean national park are proposed as follows: 1. National park system, which values diversity of species, is to be proposed. For this, the Article 8 which allows a development of National parks, Enforcement Ordinance Article 4, The Article 18 of Law, Enforcement Regulation Article 6 & 7 of National Park Law should be reviewed for deletion and revision. 2. On the basis of the laws, zoning system should be readjusted by discriminated conservation policy. Also, the readjustment of zoning system should be enforced after thorough analysis and research on the value of natural resources in the national park. 3. Korea should closely review the recently revised Japanese laws on the national parks and nature revitalization promotion for applying them to conservation policy of Korean national parks.

• 한국환경생태학회지
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• 제11권1호
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• pp.18-36
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• 1997

본 연구는 조경적 측면에서의 모법인 대한민국 헌법의 여러 조문 중에서 환경보전과 생태학이라는 객체에 직, 간접적으로 관련되어 있다고 판단되는 조문들을 자연과학적 관점에서 분석했으묘, 현재 적용되고 있는 환경보전과 생태학과 관련된 국내법(법률: 40종, 지침: 1종, 판례: 1종)과 국외법(헌법: 1종, 법률: 34종, 조례: 2종, 판례: 3종)을 수집, 비교하였다. 또한 수집된 국내, 외 관련볍규를 법조문상의 내용을 기준으로 하여 환경(생태)보전의 기본원칙 및 개념, 계획수립과 사업시행, 유형, 정책 및 관련사업, 관련권리(권한) 및 의무(책임), 허용 및 규제행위, 환경영향평가 및 행정절차, 제도 등의 항목별로 분류하여 비교, 분석해 봄으로써 여러 법률에 산재해 있는 환경보전과 생태학 관련법규를 일목요연하게 조합하여 상호 관련성을 고찰해 보고, 외국의 각국들이 어떻게 환경보전과 생태학 관련 법규정들을 타 분야로부터 독립시켜 왔으며, 환경적인 측면에서 선진화된 사업을 해오고 있는가를 검토해 보았다.

• 대한수학회논문집
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• 제13권1호
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• pp.37-59
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• 1998

We prove that solutions $u^\epsilon$ for the mixed hyperbolic-elliptic system of conservation laws with the viscosity term are total variation bounded uniformly in $\epsilon$ and that the solution $u^\epsilon$ converges to the solution for the mixed hyperbolic-elliptic Riemann problem as $\epsilon \to 0$.

• 대한수학회논문집
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• 제22권1호
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• pp.145-155
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• 2007

In this paper, we show the convergence of approximate solutions to the convective porous media equation using methodology developed in [8]. First, we obtain the approximate transport equation for the given convective porous media equation. Then using the averaging lemma, we obtain the convergence.

• 대한수학회지
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• 제35권1호
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• pp.85-114
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• 1998

We prove the existence of solutions of the Reimann problem for a system of conservation laws of mixed type using the method of vanishing viscosity term.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권3호
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• pp.211-236
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• 2019

This paper is devoted to the study and investigation of the Runge-Kutta discontinuous Galerkin method for a system of differential equations consisting of two hyperbolic conservation laws. The numerical coupling flux which is used at a given interface (x = 0) is the upwind flux. Moreover, in the linear case, we derive optimal convergence rates in the $L_2$-norm, showing an error estimate of order ${\mathcal{O}}(h^{k+1})$ in domains where the exact solution is smooth; here h is the mesh width and k is the degree of the (orthogonal Legendre) polynomial functions spanning the finite element subspace. The underlying temporal discretization scheme in time is the third-order total variation diminishing Runge-Kutta scheme. We justify the advantages of the Runge-Kutta discontinuous Galerkin method in a series of numerical examples.