• 제목/요약/키워드: Initial Condition

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ASYMPTOTIC STABILITY OF STRONG SOLUTIONS FOR EVOLUTION EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

  • Chen, Pengyu;Kong, Yibo;Li, Yongxiang
    • 대한수학회보
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    • 제55권1호
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    • pp.319-330
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    • 2018
  • This paper is concerned with the global asymptotic stability of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions on infinite interval. The discussion is based on analytic semigroups theory and the gradually regularization method. The results obtained in this paper improve and extend some related conclusions on this topic.

초기 오차와 시간 지연을 고려한 선형 플랜트에 대한 강인한 반복 학습 제어기의 설계 (Design of robust iterative learning controller for linear plant with initial error and time-delay)

  • 박광현;변증남;황동환
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.335-338
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    • 1996
  • In this paper, we are going to design an iterative learning controller with the robust properties for initial error. For this purpose, the PID-type learning law will be considered and the design guide-line will be presented for the selection of the learning gain. Also, we are going to suggest a condition for the convergence of control input for a plant with input delay. Several simulation results are presented, which shows the effectiveness of the proposed algorithms.

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BLOW UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR THE NONLOCAL SEMILINEAR HEAT EQUATION

  • Fang, Zhong Bo;Sun, Lu
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권4호
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    • pp.235-242
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    • 2012
  • In this paper, we investigate a nonlocal semilinear heat equation with homogeneous Dirichlet boundary condition in a bounded domain, and prove that there exist solutions with positive initial energy that blow up in finite time.

SOLVING FUZZY FRACTIONAL WAVE EQUATION BY THE VARIATIONAL ITERATION METHOD IN FLUID MECHANICS

  • KHAN, FIRDOUS;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권4호
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    • pp.381-394
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    • 2019
  • In this paper, we are extending fractional partial differential equations to fuzzy fractional partial differential equation under Riemann-Liouville and Caputo fractional derivatives, namely Variational iteration methods, and this method have applied to the fuzzy fractional wave equation with initial conditions as in fuzzy. It is explained by one and two-dimensional wave equations with suitable fuzzy initial conditions.

액체배지에서의 Fusarium moniliforme에 의한 Fusarin C생성에 관한 연구 (Fusarin C Production by Fusarium moniliforme in Liquid Media)

  • 안명수;현영희
    • 한국식품조리과학회지
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    • 제4권2호
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    • pp.65-69
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    • 1988
  • 세 가지 액체배지를 사용하여 Berkeley대학 Dr. Bjeldanes Lab에서 isolate된 F. moniliforme을 생육시킨 결과 Czapek-Dox medium에서 Fusarin C생성량이 가장 높았으며 옥수수에 비하면 약 1/10정도의 양인 것으로 나타났다. 그리고 Czapek-Dox medium의 경우 $28^{\circ}C$에서 2주간 배양한 때에 Fusarin C의 생성량이 가장 많았으며 옥수수의 경우는 28$^{\circ}C$에서 1주간 배양한 때에 가장 높았다. 또한 Czapek-Dox medium의 initial PH가 6.5인 때에 Fusarin C의 생성량이 최대이었으며 6.3, 5.9인 때도 다른 PH보다 월등히 높은 양이 생성됨을 확인할 수 있었다.

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크리프-피로 균열성장에서의 초기 천이거동에 대한 연구 (A Study on Initial Transient Behavior in Creep-Fatigue Crack Growth)

  • 백운봉;남승훈;윤기봉
    • 대한기계학회논문집
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    • 제18권7호
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    • pp.1722-1729
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    • 1994
  • At early stage of creep-fatigue crack growth tests, initial transient behavior which implies high crack growth rate has been generally observed by some researchers. Since the influence of the initial transient crack growth behavior on the remaining life of components is significant, cause of it should be further studied. In this study, characteristics of the initial transient behavior of 1Cr-1Mo-0.25V steel is studied experimentally by performing creep-fatigue crack growth tests at $538^{\circ}C$ in air under trapezoidal waveshapes. It is verified that the cause of the initial transient behavior is not high ${(C_t)}_{avg}$ values due to the small scale creep condition at the early stage of test, but oxidation-dominated crack growth mechanism during the transient period which is different from the creep-dominated crack growth mechanism in steady crack growth period.

스파크 점화 엔진에서 초기화염 발달의 가시화 (Visualization of Initial Flame Development in an SI Engine)

  • 엄인용
    • 한국가시화정보학회지
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    • 제2권2호
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    • pp.45-51
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    • 2004
  • Initial flame development and propagation were visualized under different fuel injection timings to relate the initial flame development to the engine stability in a port injection SI engine. Experiments were performed in an optical single cylinder engine modified from a production engine and images were captured through the quartz window mounted in the piston by an intensified CCD camera. Stratification state was controlled by varying injection timing. Under each injection condition, the flame images were captured at the pre-set crank angles. These were averaged and processed to characterize the flame. The flame stability was estimated by the weighted average of flame area, luminosity, and standard deviation of flame area. Results show that stratification state according to injection timing did not affect on the direction of flame propagation. The flame development and the initial flame stability are strongly dependent on the stratified conditions and the initial flame stability governs the engine stability and lean misfire limit.

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콘크리트 포장을 덧씌운 비절삭과 절삭 아스팔트 포장의 공용성 비교 (Comparison of Performance of Non-Mill-and-Overlay and Mill-and-Overlay on Concrete Pavement)

  • 최미란;박해원;정진훈
    • 한국도로학회논문집
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    • 제19권6호
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    • pp.97-103
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    • 2017
  • PURPOSES : In this study, the pavement condition of non-mill-and-overlay and mill-and-overlay on deteriorated concrete pavement was compared. In addition, the suitable time to perform the initial overlay was investigated. METHODS : The condition of the pavement sections that were not additionally overlaid on non-mill-and-overlay or mill-and-overlay on deteriorated concrete pavements was investigated according to overlay pavement age. The condition of non-mill-and-overlay and mill-and-overlay sections of expressway route 25, which has more information on overlay history than other routes, was compared according to the number of times of overlay. The relation between the concrete pavement condition just before the overlay and the number of times of overlay was investigated for the non-mill-and-overlay and mill-and-overlay sections for which the first overlay was performed in the same year. RESULTS : The pavement condition of the non-mill-and-overlay sections was better than that of the mill-and-overlay sections, showing higher Highway Pavement Condition Index(HPCI) regardless of overlay pavement age. The number of reflection crackings of the non-mill-and-overlay sections was smaller than that of the mill-and-overlay sections. As a result of observing the cores obtained from the overlay sections, the proportion of the deteriorated non-mill-and-overlay sections was smaller than that of the mill-and-overlay sections. The SD measured just before the overlay on the concrete pavement for which additional overlay was not performed was smaller than that for which additional overlay was performed regardless of the milling of the concrete slab surface. The HPCI of the concrete pavement for which overlay was performed just once was higher than that for which overlay was performed more than one time. CONCLUSIONS : Accordingly, it was concluded that the condition of the non-mill-and-overlay sections was better than that of the mill-and-overlay sections. In addition, the better the condition of concrete pavement just before the initial overlay, the longer the duration of the overlay effect.

2007년 5월 6-8일 황사 현상의 예측 민감도 분석 (Forecast Sensitivity Analysis of An Asian Dust Event occurred on 6-8 May 2007 in Korea)

  • 김현미;계준경
    • 대기
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    • 제20권4호
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    • pp.399-414
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    • 2010
  • Sand and dust storm in East Asia, so called Asian dust, is a seasonal meteorological phenomenon. Mostly in spring, dust particles blown into atmosphere in the arid area over northern China desert and Manchuria are transported to East Asia by prevailing flows. An Asian dust event occurred on 6-8 May 2007 is chosen to investigate how sensitive the Asian dust transport forecast to the initial condition uncertainties and to interpret the characteristics of sensitivity structures from the viewpoint of dynamics and predictability. To investigate the forecast sensitivities to the initial condition, adjoint sensitivities that calculate gradient of the forecast aspect (i.e., response function) with respect to the initial condition are used. The forecast aspects relevant to Asian dust transports are dry energy forecast error and lower tropospheric pressure forecast error. The results show that the sensitive regions for the dry energy forecast error and the lower tropospheric pressure forecast error are initially located in the vicinity of the trough and then propagate eastward as the surface low system moves eastward. The vertical structures of the adjoint sensitivities for the dry energy forecast error are upshear tilted structures, which are typical adjoint sensitivity structures for extratropical cyclones. Energy distribution of singular vectors also show very similar structures with the adjoint sensitivities for the dry energy forecast error. The adjoint sensitivities of the lower tropospheric pressure forecast error with respect to the relative vorticity show that the accurate forecast of the trough (or relative vorticity) location and intensity is essential to have better forecasts of the Asian dust event. Forecast error for the atmospheric circulation during the dust event is reduced 62.8% by extracting properly weighted adjoint sensitivity perturbations from the initial state. Linearity assumption holds generally well for this case. Dynamics of the Asian dust transport is closely associated with predictability of it, and the improvement in the overall forecast by the adjoint sensitivity perturbations implies that adjoint sensitivities would be beneficial in improving the forecast of Asian dust events.

축산폐수 전처리를 위한 암모니아 탈기공정의 운전조건이 암모니아 제거에 미치는 영향 (Effect of Operating Condition of Stripping Process on Ammonia Removal for Pre-treatment of Swine Wastewater)

  • 황규대;조영무
    • 한국물환경학회지
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    • 제20권1호
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    • pp.86-92
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    • 2004
  • Lab-scale experiments have been carried out to investigate ammonia stripping with a modified spray tower for removing ammonia nitrogen from swine wastewater. The operating conditions such as initial pH, temperature, air flow, hole size of distributor determining the diameter of water drops, and influent solids concentration were closely examined focusing on removal efficiency of ammonia. As a result of the experiment, in order to achieve high rate of ammonia removal by the air stripping system, the air flow rate must be supplied at high rate with sufficiently high initial pH, temperature. The optimum operating condition to meet the residual ammonia concentration of 300 mg/L was the initial pH of 11.0 at $35^{\circ}C$ with the air flow rate of 20 L/min. It also showed that the smaller hole size is, the higher removal rate of ammonia is expected. However, when used a small sized distributor (2 mm), the flooding problem at the upper column occurred due to clogging of the hole. With regard to the influent solids concentration, it was showed that the lower concentration of solids, the higher removal rate of ammonia. The removal of particulate materials in influent led to improve the removal efficiency of ammonia, rather than to control the operating condition including initial pH, temperature, and air flow. The empirical correlation between KLa and operating parameters would be driven as, $K_{La}=(0.0003T-0.0047){\cdot}G^{0.3926}{\cdot}L^{-0.5169}{\cdot}C^{-0. 1849}$. The calculated $K_{La}$ from proposed formula can be used effectively to estimate the optimum reaction time and to calculate the volume of modified spray tower system.