• Title/Summary/Keyword: dispersive behavior

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ASYMPTOTIC STABILIZATION FOR A DISPERSIVE-DISSIPATIVE EQUATION WITH TIME-DEPENDENT DAMPING TERMS

  • Yi, Su-Cheol
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.4
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    • pp.445-468
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    • 2020
  • A long-time behavior of global solutions for a dispersive-dissipative equation with time-dependent damping terms is investigated under null Dirichlet boundary condition. By virtue of an appropriate new Lyapunov function and the Lojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, when damping coefficients are integrally positive and positive-negative, respectively. Moreover, under the assumptions on on-off or sign-changing damping, we derive an asymptotic stability of solutions.

CONVERGENCE AND DECAY ESTIMATES FOR A NON-AUTONOMOUS DISPERSIVE-DISSIPATIVE EQUATION WITH TIME-DEPENDENT COEFFICIENTS

  • Kim, Eun-Seok
    • Honam Mathematical Journal
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    • v.44 no.2
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    • pp.281-295
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    • 2022
  • This paper deals with the long - time behavior of global bounded solutions for a non-autonomous dispersive-dissipative equation with time-dependent nonlinear damping terms under the null Dirichlet boundary condition. By a new Lyapunov functional and Łojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, which depends on the decay of the non-autonomous term g(x, t), when damping coefficients are integral positive and positive-negative, respectively.

Improved OFDM System with Carrier Interferometry Codes in Highly Dispersive Fading Channels (높은 지연 페이딩 채널에서 반송파 간섭신호를 이용한 개선된 OFDM 시스템)

  • Chung, Yeon-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.4A
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    • pp.378-383
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    • 2004
  • Orthogonal Frequency Division Multiplexing (OFDM) transmits high-speed data by splitting the transmission bandwidth into a number of subcarriers. The bandwidth of each subcarrier is ensured to be smaller than the coherence bandwidth. This paper presents an OFDM system incorporated with the Carrier Interferometry (CI) codes to improve the performance by enhancing frequency diversity effect. The performances of CI-OFDM with multilevel modulations are investigated in highly dispersive fading channels. For the investigation of performance improvement of CI-OFDM, a simulator has been developed using a well-known SPW simulation platform. The simulation results show that the CI-OFDM provides both performance improvement and robustness against dispersive fading channel behavior. The performance of CI-OFBM with multilevel modulations demonstrates that CI-OFDM outperforms a traditional OFDM system, particularly in highly dispersive channels. With a relatively large delay spread of 151㎱ compared to the guard interval of 800㎱, CI-OFDM provides a BER of 10$^{-3}$ if sufficient signal power is present.

Highly dispersive substitution box (S-box) design using chaos

  • Faheem, Zaid Bin;Ali, Asim;Khan, Muhamad Asif;Ul-Haq, Muhammad Ehatisham;Ahmad, Waqar
    • ETRI Journal
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    • v.42 no.4
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    • pp.619-632
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    • 2020
  • Highly dispersive S-boxes are desirable in cryptosystems as nonlinear confusion sublayers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S-box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S-box. The proposed scheme is vetted using well-established cryptographic performance criteria. The proposed S-box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S-box is also tested using an image encryption algorithm. Results show that the proposed S-box as a confusion component entails a high level of security and improves resistance against all known attacks.

Evaluation of Thickness Reduction in an Aluminum Sheet using SH-EMAT (SH-EMAT를 이용한 알루미늄 박판의 두께감육 평가)

  • Kim, Yong-Kwon;Park, Ik-Kuen
    • Journal of Welding and Joining
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    • v.28 no.2
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    • pp.74-78
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    • 2010
  • In this paper, a non-contact method of evaluating the thickness reduction in an aluminum sheet caused by corrosion and friction using SH-EMAT (shear horizontal, electromagnetic acoustic transducer) is described. Since this method is based on the measurement of the time-of-flight and amplitude change of guided waves caused from the thickness reduction, it provides information on the thinning defects. Information was obtained on the changes of the various wave features, such as their time-of-flight and amplitude, and their correlations with the thickness reduction were investigated. The interesting features in the dispersive behavior of selected guided modes were used for the detection of thinning defects. The measurements of these features using SH waves were performed on aluminum specimens with regions thinned by 7.2% to 29.5% of the total thickness. It is shown that the time-of-flight measurement provides an estimation of the thickness reduction and length of the thinning defects.

Simple estimation of Langmuir Parameter by HPLC experiments (HPLC를 이용한 Langmuir Parameter의 추산)

  • Lee, Sun-Mook;Yoon, Tae-Ho;Kim, In-Ho
    • Clean Technology
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    • v.9 no.2
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    • pp.81-85
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    • 2003
  • A simple method of isotherm determination for HPLC is discussed. The equilibrium-dispersive model describing the behavior of elution peaks in HPLC for single component is solved numerically by using PDE solver Macsyma$^{(R)}$(Macsyma Inc., Arlington, MA, USA.) and compared to the experimental data obtained in overloaded isocratic chromatography with caffeine as model species. The effect of sample concentration and flow velocity on the band profiles of elution peaks are described.

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The Rheological Behavior and Dispersion Properties of Millbase for LCD Colorfilters (LCD Colorfilter용(用) Millbase의 분산특성과 레올로지 거동)

  • Na, Dae-Yup;Jung, Il-Bong;Nam, Su-Yong;Yoo, Choon-Woo;Choi, Yong-Jung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.5
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    • pp.450-455
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    • 2007
  • LCD color filters have been manufactured in a process called photolithography to date, but various printing methods have been studied currently in response to the trend of low-end LCD panels. Direct Printing Process is a suitable fabrication technique to develope pigment components whose dimensions are in nano. The success of this process depends on the systematic preparation of pigment millbase. Conventional millbase dispersions are constituted of the organic pigments, monomer, dispersant and solvents. An experimental study on the rheology of millbase dispersions is presented. Subsequently, this thesis attempts to find out the dispersive characteristics as well as the selection of pigments, monomers and dispersants in the part of millbase among the stages of manufacturing LCD color filters using the direct printing methods. The dispersive characteristics were shown through analytic devices such as PSA, Rheometer, etc.

Effects of Counterpart Materials on Wear Behavior of Thermally Sprayed Ni-based Self-flux Alloy Coatings (니켈기 자융성 합금 코팅층의 마모거동에 미치는 상대마모재의 영향)

  • Kim, K.T.;Kim, Y.S.
    • Journal of Power System Engineering
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    • v.11 no.4
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    • pp.92-97
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    • 2007
  • This study aims at investigating the wear behavior of thermally sprayed Ni-based self-flux alloy coatings against different counterparts. Ni-based self-flux alloy powders were flame-sprayed onto a carbon steel substrate and then heat-treated at temperature of $1000^{\circ}C$. Dry sliding wear tests were performed using the sliding speeds of 0.2 and 0.8 m/s and the applied loads of 5 and 20 N. AISI 52100, $Al_2O_3$, $Si_3N_4$ and $ZrO_2$ balls were used as counterpart materials. Wear behavior of Ni-based self-flux alloy coatings against different counterparts were studied using a scanning electron microscope(SEM) and energy dispersive X-ray spectroscopy (EDX). It was revealed that wear behavior of Ni-based self-flux alloy coatings were much influenced by counterpart materials.

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Effect of MML on the Wear Behavior of Al/SiCp Composites (Al/SiCp 복합재료의 마모거동에 미치는 MML의 영향)

  • Kim, Yeong-Sik;Kim, Kyun-Tak
    • Tribology and Lubricants
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    • v.25 no.1
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    • pp.66-72
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    • 2009
  • Al-based composites reinforced with SiC particulate were fabricated using a thermal spray process, and dry sliding wear behavior of the composites was investigated. Pre-mixed Al and SiC powders were sprayed on an A16061 substrate by flame spraying, and dry sliding wear test were performed under various sliding speed and applied load conditions against ${Al_2}{O_3}$ ball. Wear behavior of the composites was studied by using scanning electron microscope (SEM), energy dispersive X-ray spectroscopy (EDX) and X-ray diffraction (XRD). And build-up mechanism of MML on the worn surface of the composites was examined. It was revealed that these MML was formed of debris from the contact surface of the composites and effected to wear behavior of the composites protecting the contact surface of the composites.

The Effect of Milling Conditions on Microstructure and Phase Transformation Behavior of Ti-Ni Based Alloy Powders (Ti-Ni계 합금분말의 미세조직 및 상변태거동에 미치는 밀링조건의 영향)

  • 강상호;남태현
    • Journal of Powder Materials
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    • v.8 no.1
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    • pp.42-49
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    • 2001
  • Ti-50Ni(at%) and Ti-40Ni-10Cu(at%) alloy powders have been fabricated by ball milling method, and their microstructure and phase transformation behavior were investigated by means of scanning electron microscopy/energy dispersive spectrometry, differential scanning calorimetry (DSC), X-ray diffractions and transmission electron microscopy. In order to investigate the effect of ball milling conditions on transformation behavior, ball milling speed and time were varied. Ti-50Ni alloy powders fabricated with the milling speed more than 250 rpm were amorphous, while those done with the milling speed of 100rpm were crystalline. In contrast to Ti-50Ni alloy powders, Ti-40Ni-10Cu alloy powders were crystalline, irrespective of ball milling conditions. DSC peaks corresponding to martensitic transformation were almost discernable in alloy powders fabricated with the milling speed more than 250 rpm, while those were seen clearly in alloy powders fabricated with the milling speed of 100 rpm. This was attributed to the fact that a strain energy introduced during ball milling suppressed martensitic transformation.

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