• 한국통계학회:학술대회논문집
• /
• 한국통계학회 2003년도 춘계 학술발표회 논문집
• /
• pp.43-48
• /
• 2003

We consider a consumption and investment problem where an investor's investment opportunity gets enlarged when she becomes rich enough, i.e., when her wealth touches a critical level. We derive optimal consumption and investment rules assuming that the investor has a time-separable von Neumann-Morgenstern utility function. An interesting feature of optimal rules is that the investor consumes less and takes more risk in risky assets if the investor expects that she will have a better investment opportunity when her wealth reaches a critical level.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제18권4호
• /
• pp.283-294
• /
• 2014

In this paper we study consumption-labor supply decision of an agent who prepares for retirement at a known time in the future. The agent is assumed to have a preference which is represented by the von Neumann-Morgenstern utility function in which the felicity function has constant relative risk aversion over the composite of consumption and leisure. The composite is obtained by the Cobb-Douglas function. A general problem has been studied by Bodie et al. (2004). We contribute to the literature by deriving the Slutsky equations and conducting comparative statics. In particular, we show that wealth effect can exhibit an interesting property depending upon the time until retirement, as the interest rate increases.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1994년도 하계학술대회 논문집 A
• /
• pp.119-121
• /
• 1994

In solving axisymmetric field problem by FEM, absorbing boundary condition is introduced to approximate the normal derivatives on artificial boundary to truncate the finite analysis legion. To verify this scheme eddy currents of an conducting sphere in an uniform magnetic field are calculated, and it shows better results than one with Neumann boundary condition. Also eddy currents of conducting cylinder surrounded by coils are calculated, which is typical model in induction heating system.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제5권2호
• /
• pp.71-99
• /
• 2001

The model and analytical method for solving the problem of coupled fluid flow in the reservoir/well system is presented. The 3-D drainage area is composed of three connected media: the tubing, the annuli as a super conducting collector, and the reservoir itself. To couple these three types of fluid flows a non-overlapping Dirichlet-Neumann domain decomposition method is developed. The method allows us to apply an analytical hybrid simulator for accurate evaluation of the impact of main geometrical and hydrodynamic parameters of the 3-D system on the pressure drop along the horizontal well and its production index.

• 지구물리와물리탐사
• /
• 제3권2호
• /
• pp.61-69
• /
• 2000

지표 경계 조건은 유한 차분법을 이용한 탄성파 파동 방정식 모델링에서 수치해의 정확성을 떨어뜨리는 한편 포아송 비에 따른 해의 안정성을 제한하는 주 요인이 된다. 본 연구에서는 지표 경계 조건과 같은 Neumann 경계 조건의 처리에 효과적인 적분법(integration method)에 기반 하여 차분식을 유도하고, 이로부터 중간점 차분 기법을 제안하였다. 또한, 개발된 알고리즘을 Lamb의 문제에 적용하여 이론해와 비교함으로써 타당성을 검증하였다.

• Smart Structures and Systems
• /
• 제18권1호
• /
• pp.139-154
• /
• 2016

This paper is concerned with the dynamics of hyperelastic solids and structures. We seek for a smart control actuation that produces a desired (prescribed) displacement field in the presence of transient imposed forces. In the literature, this problem is denoted as displacement tracking, or also as shape morphing problem. One talks about shape control, when the displacements to be tracked do vanish. In the present paper, it is assumed that the control actuation is provided by imposed eigenstrains, e.g., by the electric field in piezoelectric actuators, or by thermal actuators, or via analogous physical effects, such as magneto-striction or pre-stress. Structures with a controlled eigenstrain-type actuation belong to the class of smart structures. The action of the eigenstrains can be conveniently characterized by actuation stresses. Our theoretical derivations are performed in the framework of the theory of small incremental dynamic deformations superimposed upon a statically pre-deformed configuration of a hyperelastic solid or structure. We particularly ask for a distribution of incremental actuation stresses, such that the incremental displacements follow exactly a prescribed trajectory field, despite the imposed incremental forces are present. An exact solution of this problem is presented under the assumption that the actuation stresses can be tailored freely and applied everywhere within the body. Extending a Neumann-type solution strategy, it is shown that the actuation stresses due to the distributed control eigenstrains must satisfy certain quasi-static equilibrium conditions, where auxiliary body-forces and auxiliary surface tractions are to be taken into account. The latter auxiliary loading can be directly computed from the imposed forces and from the desired displacement field to be tracked. Hence, despite the problem is a dynamic one, a straightforward computation of proper actuator distributions can be obtained in the framework of quasi-static equilibrium conditions. Necessary conditions for the functioning of this concept are presented. Particularly, it must be required that the intermediate configuration is infinitesimally superstable. Previous results of our group for the case of shape control and displacement tracking in linear elastic structures are included as special cases. The high potential of the solution is demonstrated via Finite Element computations for an irregularly shaped four-corner plate in a state of plain strain.

• 대한수학회보
• /
• 제31권2호
• /
• pp.173-180
• /
• 1994

Let H be a separable, infinite dimensional, compled Hilbert space and let L(H) be the algebra of all bounded linear operators on H. A dual algebra is a subalgebra of L(H) that contains the identity operator $I_{H}$ and is closed in the ultraweak topology on L(H). Note that the ultraweak operator topology coincides with the wea $k^{*}$ topology on L(H)(see [3]). Bercovici-Foias-Pearcy [3] studied the problem of solving systems of simultaneous equations in the predual of a dual algebra. The theory of dual algebras has been applied to the topics of invariant subspaces, dilation theory and reflexibity (see [1],[2],[3],[5],[6]), and is deeply related with properties ( $A_{m,n}$). Jung-Lee-Lee [7] introduced n-separating sets for subalgebras and proved the relationship between n-separating sets and properties ( $A_{m,n}$). In this paper we will study the relationship between direct sum and properties ( $A_{m,n}$). In particular, using some results of [7] we obtain relationship between n-separating sets and direct sum of von Neumann algebras.ras.s.ras.

• 대한조선학회논문집
• /
• 제29권4호
• /
• pp.1-6
• /
• 1992

본 논문에서는 유한차분법을 이용하여 선수파형을 계산하고, 이 결과를 비교평가 하므로서 선수선형 개량에 활용할 수 있는 한 방법에 대하여 기술하였다. 여기에서 사용된 대상선박은 당사에서 개발완료한 4,400TEU급 고속 컨테이너선으로 기본선형과 선수수정 선형에 대한 수치계산과 모형시험이 각각 수행되었으며, 본 차분방법 의한 계산 결과를 Simplified N-K problem과 Rankine source method, 그리고 모형시험 결과와 각각 비교하였다. 이 결과 유한차분법에 의한 계산결과는 모형시험 결과와 매우 근사한 경향을 보였고, 따라서 선박초기 설계단계에서 최적선수선형, 특히 최적 벌브형상을 결정하는데에 유용하게 사용될 수 있을 것으로 판단된다.