• 한국수산과학회지
• /
• 제18권1호
• /
• pp.15-22
• /
• 1985

The study on computation time, accuracy, and convergency characteristic of the implicit finite difference method is presented with the variation of the space increment and time step in a two-dimensional transient heat conduction problem with a dirichlet boundary condition. Numerical analysis were conducted by the model having the conditions of the solution domain from 0 to 3m, thermal diffusivity of 1.26 $m^2/h$, initial condition of 272 K, and boundary condition of 255.4 K. The results obtained are summarized as follows : 1) The degree of influence with respect to the accuracy of the time step and space increment in the alternating-direction implicit method and Crank-Nicholson implicit method were relatively small, but in case of the fully implicit method showed opposite tendency. 2) To prescribe near the zero for the space increment and tine step in a two dimensional transient problem were good in a accuracy aspect but unreasonable in a computational time aspect. 3) The reasonable condition of the space increment and the time step considering accuracy and computation time could be generalized with the Fourier modulus increment, F, ana dimensionless space increment, X, irrespective of the solution domain.

• 대한수학회지
• /
• 제55권6호
• /
• pp.1359-1380
• /
• 2018

In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Hardy type inequality with the same exponent n ($n{\geq}3$), then it has exactly the n-dimensional volume growth. Besides, three interesting applications of this fact have also been given. The first one is that we prove that complete noncompact smooth metric measure space with non-negative weighted Ricci curvature on which the Hardy type inequality holds with the best constant are isometric to the Euclidean space with the same dimension. The second one is that we show that if a complete n-dimensional Finsler manifold of nonnegative n-Ricci curvature satisfies the Hardy type inequality with the best constant, then its flag curvature is identically zero. The last one is an interesting rigidity result, that is, we prove that if a complete n-dimensional Berwald space of non-negative n-Ricci curvature satisfies the Hardy type inequality with the best constant, then it is isometric to the Minkowski space of dimension n.

• 천문학회보
• /
• 제39권2호
• /
• pp.99.2-99.2
• /
• 2014

We investigate how a solar eruption occurs in an environment where a solar wind exists during a pre-eruptive phase. To understand it, we have performed three-dimensional simulations based on a zero-beta magnetohydrodynamic (MHD) equations in various ways to drive an eruption with a solar wind. A pre-eruptive state is derived by applying a nonlinear force-free reconstruction method to a flux emergence full MHD simulation. We discuss what is the most appropriate way to drive a solar wind-related eruption.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제18권4호
• /
• pp.361-368
• /
• 2011

In this paper, we construct a cover ($\mathcal{L}(X)$, $c_X$) of a space X such that for any cloz-cover (Y, f) of X, there is a covering map g : $Y{\longrightarrow}\mathcal{L}(X)$ with $c_X{\circ}g=f$. Using this, we show that every Tychonoff space X has a minimal cloz-cover ($E_{cc}(X)$, $z_X$) and that for a strongly zero-dimensional space X, ${\beta}E_{cc}(X)=E_{cc}({\beta}X)$ if and only if $E_{cc}(X)$ is $z^{\sharp}$-embedded in $E_{cc}({\beta}X)$.

• 한국광학회지
• /
• 제12권1호
• /
• pp.17-24
• /
• 2001

엄밀한 결합파 해석(rigorous coupled-wave analysis)을 이용하여 2차원 및 3차원의 주기적인 구조 제작을 위한 2차원 이진위상 회절격자를 설계 및 분석하였다. 이 회절격자는 근접장 홀로그래피를 위한 위상 마스크로서 수직 입사하는 빛에 대하여 여거 개의 회절파들을 발생하고 이들은 공간상에 주기적인 간섭무늬를 형성한다. 입사파의 편광상태, 파장, 표면 양각형태, 요철 깊이와 duty cycle을 바꿈으로써 회절된 빛들을 조절할 수 있는데 2차원 구조의 경우 0차 회절효율이 최소가 되고 1차회절효율이 최대가 될 때 최적의 결과를 보인다. 한편 0차 회절효율이 상당한 크기를 가지거나 심지어 다른 차수의 회절효율보다 높을 때 마이크로 미터 이하의 미세구조를 갖는 tetragonal-body-centered 구조와 hexagonal 구조의 포토닉 결정을 제작 할 수 있는 다양한 형태의 3차원 공간 간섭무늬가 형성된다.

• 천문학회보
• /
• 제36권2호
• /
• pp.95.1-95.1
• /
• 2011

Halo Coronal Mass Ejections (HCMEs) are crucial for space weather, since they can produce severe geomagnetic storms when they interact with the Earth's magnetosphere. It is thus very important to infer their directions, radial velocities, and their three-dimensional structures. In this study, we apply two different models to HCMEs since 2008 : (1) an ice cream cone model by Xue et al (2005) using SOHO/LASCO data, (2) a flux rope model by Thernisien et al. (2009) using STEREO/SECCHI data. In addition, we use the flux rope model with zero separation angle of flux rope, which is morphologically similar to the ice cream cone model. The comparison shows that the CME radial velocities from three models have very good correlations (R>0.9) one another. We are extending this comparison to other partial halo CMEs observed by STEREO and SOHO.

• 대한수학회보
• /
• 제35권4호
• /
• pp.689-700
• /
• 1998

We consider an infinite dimensional dynamical system what is called Lattice Dynamical System given by a discrete nonlinear diffusion equation. By assuming the nonlinearity to be a general nonlinear function with mild restrictions, we show that as the diffusion parameter changes the stationery state of the given system undergoes bifurcations from the zero state to a bounded invariant set or a 3- or 4-periodic state in the global phase space of the given system according to the values of the coefficients of the linear part of the given nonlinearity.

• Journal of Mechanical Science and Technology
• /
• 제15권10호
• /
• pp.1356-1368
• /
• 2001

In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

• 전자통신동향분석
• /
• 제36권1호
• /
• pp.22-31
• /
• 2021

In this thesis, we examine the development status of autonomous mobility services using various artificial intelligence algorithms and propose a solution by combining edge and cloud computing to overcome technical difficulties. A fully autonomous vehicle with enhanced safety and ethics can be implemented using the proposed solution. In addition, for the future of 2035, we present a new concept that enables two- and three-dimensional movement via cooperation between ecofriendly, low-noise, and modular fully autonomous vehicles. The zero-error autonomous driving system will safely and conveniently transport people, goods, and services without time and space constraints and contribute to the autonomous mobility services that are free from movement in connection with various mobility.

• 대한수학회보
• /
• 제44권3호
• /
• pp.483-492
• /
• 2007

In this paper, we study the map projections from pseudo-sphere $S_1^2$ onto the non-lightlike surfaces in the 3-dimensional Lorentzian space, $L^3$, with curvature zero. We show geometrical means and properties of $\mathbb{R}{\times}S_1^1-cylindrical$, $S^1{\times}L-cylindrical$ and $\mathbb{R}{\times}H_0^1-cylindrical$ projections defined on $S_1^2$ to cylinders $\mathbb{R}{\times}S_1^1,\;S^1{\times}L$ and $\mathbb{R}{\times}H_0^1$, respectively, and orthographic and stereographic projections on $S_1^2$ to Lorentzian plane, $L^2$.