• 대한수학회지
• /
• 제58권6호
• /
• pp.1433-1448
• /
• 2021

In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term. After proving the existence of solutions, we establish a general decay estimate of the solution using energy estimates and theory of convex functions. This result extends and complements some previous results of [9, 21].

• East Asian mathematical journal
• /
• 제35권1호
• /
• pp.1-7
• /
• 2019

We consider the initial value problem of the Schrodinger equation for an interesting Cauchy-Euler type operator ${\mathfrak{R}}$ on ${\mathbb{C}}^n$ that is an analogue of the harmonic oscillator in ${\mathbb{R}}^n$. We get an appropriate $L^1-L^{\infty}$ dispersive estimate for the solution of the initial value problem.

• 대한수학회지
• /
• 제59권2호
• /
• pp.279-298
• /
• 2022

In this paper, the existence and uniqueness for the global solution of neutral stochastic functional differential equation is investigated under the locally Lipschitz condition and the contractive condition. The implicit iterative methodology and the Lyapunov-Razumikhin theorem are used. The stability analysis for such equations is also applied. One numerical example is provided to illustrate the effectiveness of the theoretical results obtained.

• 대한수학회논문집
• /
• 제9권1호
• /
• pp.175-181
• /
• 1994

• 한국수자원학회논문집
• /
• 제33권2호
• /
• pp.169-179
• /
• 2000

이 연구에서는 1995년부터 1997년까지 금강수계 강경지점에서 유속계로 측정한 유속자료를 분석하여 자연하천의 연직방향 유속분포특성을 규명하였다. 또한, 현장유속 측정조건이 불량하여 다점법으로 유속분포를 측정하기 곤란한 경우, 간단하게 표면유속만을 측정하여 상대깊이별 유속을 추정할 수 있는 연직 유속분포식을 유도하였다. 2차 포물선의 유속분포식은 통계적으로 매우 안정적이고, 표면유속과 바닥유속 등과 고도의 유의성을 보였다. 2차 포물선식의 상수 및 계수와 표면유속과의 상관관계를 구하였으며, 실측 검정자료에 적용한 결과, 유속분포특성을 잘 반영하는 것을 확인할 수 있었다. 연직 유속분포식으로 추정된 유속은 실제수심을 적용하여 평균유속과 유량을 결정할 수 있으며, 이는 또한 하천의 오염물질이동 등 수질해석에 적용할 수 있을 것이다.

• 한국응용곤충학회지
• /
• 제61권4호
• /
• pp.549-554
• /
• 2022

곤충생태 분야에서 생명표와 관련된 연구는 곤충연구자들에게 많은 관심을 받는 주제중 하나이다. 보통 두 가지 방법으로 생명표 통계량중 내적자연증가율을 추정하고 있는데, 첫 번째 하나는 순증가율(R₀)에 자연로그를 취하고 평균세대기간(T)으로 나누어 근사치를 계산하는 방법이다(세대기간-기반 추정법). 다른 하나는 로트카-볼테라 개체군 생장 방정식에서 유도하여 최대우도법으로 정확한 내적자연증가율을 추정하는 방법이다(로트카-오일러식-기반 추정법). 후자의 경우 대상 집단의 초기 연령등급을 "0" 또는 "1"로 설정함에 따라 추정값에 차이가 발생하여 적용에 혼란이 제기되었다. 본 고찰에서는 생명표 통계량 계산과정의 역사를 간단히 정리하고, 로트카-오일러식-기반 추정법에서 최초 연령등급을 1로 설정한 경우 $\sum\limits_{x=1}^{w}e^{-rx}l_xm_x=1$의 형식, 반면 최초 연령등급을 0으로 설정한 경우 $\sum\limits_{x=0}^{w}e^{-r(x+1)}l_xm_x=1$의 형식을 적용해야 함을 재확인하였다.

• 한국도로학회논문집
• /
• 제20권3호
• /
• pp.39-46
• /
• 2018

PURPOSES: This study is to estimate nondestructive strength equation based on probability for bridges using field test data. METHODS : In this study, a series of the field inspection and the test have been performed on 297 existing bridges, in order to evaluate the bridges, based on the test results of the in-depth inspection, and the estimated strengths by means of the nondestructive strength equations are analyzed and compared with results of the core specimen strengths. RESULTS : According to results of analyses, In case of standard design compressive strength of concrete is 18MPa, 21MPa, similar reliability of RILEM equation were 0.89~0.90, but in case of standard design compressive strength of concrete is 35MPa, 40MPa were 0.4~0.56. According to standard design compressive strength of concrete is 40MPa, similar reliability of ultrasonic pulse velocity method equation were 0.56. CONCLUSIONS :RILEM equation had high similar reliability than other equation in case of standard design compressive strength of concrete is 18MPa, 21MPa, but had low similar reliability than other equation in case of standard design compressive strength of concrete is 35MPa, 40MPa. and ultrasonic pulse velocity method equation had low similar reliability than other equation in case of standard design compressive strength of concrete is 40MPa.

• Journal of Mechanical Science and Technology
• /
• 제16권10호
• /
• pp.1320-1326
• /
• 2002

In a one-dimensional heat conduction domain with heated and insulated walls, an integral approach is proposed to estimate time-dependent boundary heat flux without internal measurements. It is assumed that the expression of the heat flux is not known a priori. Hence, the present inverse heat conduction problem is classified as a function estimation problem. The spatial temperature distribution is approximated as a third-order polynomial of position, whose four coefficients are determined from the heat fluxes and the temperatures at both ends at each measurement. After integrating the heat conduction equation over spatial and time domain, respectively, a simple and non-iterative recursive equation to estimate the time-dependent boundary heat flux is derived. Several examples are introduced to show the effectiveness of the present approach.

• 대한수학회지
• /
• 제50권3호
• /
• pp.479-491
• /
• 2013

Let M be a smooth real hypersurface in complex space of dimension $n$, $n{\geq}3$, and assume that the Levi-form at $z_0$ on M has at least $(q+1)$-positive eigenvalues, $1{\leq}q{\leq}n-2$. We estimate solutions of the local $\bar{\partial}$-closed extension problem near $z_0$ for $(p,q)$-forms in Sobolev spaces. Using this result, we estimate the local solution of tangential Cauchy-Riemann equation near $z_0$ in Sobolev spaces.

• Journal of Magnetics
• /
• 제19권2호
• /
• pp.174-180
• /
• 2014

In this paper, a new and simple method is proposed to quickly estimate the induced electric field in the human child exposed to a 100 kHz-10 MHz magnetic field, for the sake of electromagnetic field (EMF) safety assessment. The quasi-static finite-difference time-domain (FDTD) method is used to calculate the induced electric fields in high resolution 3D human child models with various body size parameters, in order to derive the correction factor for the estimation equation. The calculations are repeated for various frequencies and incident angles of the magnetic field. Based on these calculation results, a new and simple estimation equation for the 99th percentile value of the body electric field is derived that depends on the body size parameters, and the incident magnetic field. The estimation errors were equal to or less than 5.1%, for all cases considered.