• 제목/요약/키워드: Holm

검색결과 34건 처리시간 0.057초

STABILITY IN THE ENERGY SPACE OF THE SUM OF N PEAKONS FOR A CAMASSA-HOLM-TYPE EQUATION WITH QUARTIC NONLINEARITY

  • Liu, Xingxing
    • 대한수학회보
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    • 제56권3호
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    • pp.703-728
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    • 2019
  • Considered herein is the orbital stability in the energy space $H^1({\mathbb{R}})$ of a decoupled sum of N peakons for a Camassa-Holm-type equation with quartic nonlinearity, which admits single peakon and multi-peakons. Based on our obtained result of the stability of a single peakon, then combining modulation argument with monotonicity of local energy $H^1$-norm, we get the stability of the sum of N peakons.

Stefan Holm의 높이뛰기 발구름 동작에서의 충격력과 상지와 하지 분절의 운동학적 분석 (Analysis of Impulse Force and Kinematic Factors of the Limbs during Stefan Holm's Take-off Phase and Penultimate Stride of High Jump)

  • 이진택
    • 한국운동역학회지
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    • 제21권1호
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    • pp.97-105
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    • 2011
  • The purpose of this study was to investigate the kinetic factors of Stefan holm's take-off motion and provide the technical data. Collected data of the subject(height: 181 cm, weight: 71 kg, record: 230 cm) were used for the last two strides and take-off phase. The results were as follows: The vertical impulse force was 2044.8 N which was 2.49 times and the anterior-posterior impulse force was -1306.4 N which was 1.88 times of the subject's weight. The take-off leg angular velocities($\omega_x,\;\omega_y$) were switched drastically from clockwise to count clockwise direction between two-step touchdown and take-off. The highest jerk of the take-off foot was 368.97 m/s3 during the two step take-off and the take-off foot made an impact to the ground with 1225.07 m/s3 during the one step touchdown.

THE CAUCHY PROBLEM FOR AN INTEGRABLE GENERALIZED CAMASSA-HOLM EQUATION WITH CUBIC NONLINEARITY

  • Liu, Bin;Zhang, Lei
    • 대한수학회보
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    • 제55권1호
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    • pp.267-296
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    • 2018
  • This paper studies the Cauchy problem and blow-up phenomena for a new generalized Camassa-Holm equation with cubic nonlinearity in the nonhomogeneous Besov spaces. First, by means of the Littlewood-Paley decomposition theory, we investigate the local well-posedness of the equation in $B^s_{p,r}$ with s > $max\{{\frac{1}{p}},\;{\frac{1}{2}},\;1-{\frac{1}{p}}\},\;p,\;r{\in}[0,{\infty}]$. Second, we prove that the equation is locally well-posed in $B^s_{2,r}$ with the critical index $s={\frac{1}{2}}$ by virtue of the logarithmic interpolation inequality and the Osgood's Lemma, and it is shown that the data-to-solution mapping is $H{\ddot{o}}lder$ continuous. Finally, we derive two kinds of blow-up criteria for the strong solution by using induction and the conservative property of m along the characteristics.

Normalized Contact Force to Minimize "Electrode-Lead" Resistance in a Nanodevice

  • Lee, Seung-Hoon;Bae, Jun;Lee, Seung Woo;Jang, Jae-Won
    • Bulletin of the Korean Chemical Society
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    • 제35권8호
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    • pp.2415-2418
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    • 2014
  • In this report, the contact resistance between "electrode" and "lead" is investigated for reasonable measurements of samples' resistance in a polypyrrole (PPy) nanowire device. The sample's resistance, including "electrode-lead" contact resistance, shows a decrease as force applied to the interface increases. Moreover, the sample's resistance becomes reasonably similar to, or lower than, values calculated by resistivity of PPy reported in previous studies. The decrease of electrode-lead contact resistance by increasing the applying force was analyzed by using Holm theory: the general equation of relation between contact resistance ($R_H$) of two-metal thin films and contact force ($R_H{\propto}1/\sqrt{F}$). The present investigation can guide a reliable way to minimize electrode-lead contact resistance for reasonable characterization of nanomaterials in a microelectrode device; 80% of the maximum applying force to the junction without deformation of the apparatus shows reasonable values without experimental error.

A Study on the Classification of the Korean Anthozoa: 2. Alcyonacea

  • Song, Jun-Im
    • 한국동물학회지
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    • 제19권2호
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    • pp.51-62
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    • 1976
  • 1963년 10월부터 1975년 5월까지 東海와 南海沿岸으로부터 채집된 標本들을 同定한 결과 1目 3科 5屬 8種을 얻었다. 이들은 모두 韓國未記錄種이었으며 다음과 같은 종들이다. Bellonella rubra Brundin, 1896; B, rigida putter, 1900; B. unicolor (Kukenthal, 1906); Alcyonium gracillimum Kukenthal, 1906; Paraspongodes spiculosa (Kukenthal, 1906); P. hitotai (Utinomi, 1951); Dendronephthya pectinata (Holm, 1895); Siphonogorgia dofleini Kukenthal, 1906.

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TRAVELING WAVE SOLUTIONS TO THE HYPERELASTIC ROD EQUATION

  • MOON, BYUNGSOO
    • Journal of applied mathematics & informatics
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    • 제33권3_4호
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    • pp.261-273
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    • 2015
  • We consider the hyperelastic rod equation describing nonlinear dispersive waves in compressible hyperelastic rods. We investigate the existence of certain traveling wave solutions to this equation. We also determine whether two other equations(the b-family equation and the modified Camassa-Holm equation) have our solution type.

ON SOLUTIONS OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

  • Thabet, A.A.;Alim, A.Hadi
    • Kyungpook Mathematical Journal
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    • 제29권2호
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    • pp.141-147
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    • 1989
  • The existence and uniqueness of solutions of nonlinear Volterra-Fred-holm integral equations of the more general type are investigated. The main tool employed in our analysis is the method of successive approximation based on the general idea of T.Wazewski.

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지난 70만 년 동안 동남극 Lutzow-Holm만 주변 해역의 생물기원 퇴적물 함량 변화 (Variations of Biogenic Components in the Region off the Lutzow-Holm Bay, East Antarctica during the Last 700 Kyr)

  • 김여훈;;;;김부근
    • Ocean and Polar Research
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    • 제33권3호
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    • pp.211-221
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    • 2011
  • Contents of biogenic components [opal, $CaCO_3$, TOC (total organic carbon)] were measured in Core LHB-3PC sediments collected off Lutzow-Holm Bay, in order to understand glacial-interglacial cyclic variation of the high-latitude surface-water paleoproductivity, in the Indian Sector of the Southern Ocean. An age model was established from the correlation of ARM/IRM ratios of Core LHB-3PC with LR04 stack benthic ${\delta}^{18}O$ records, in complement with radiocarbon isotope ages and biostratigraphic Last Appearance Datum (LAD). The core-bottom age was estimated to be about 700 ka. Although the $CaCO_3$ content is very low less than 1.0% throughout the core, the opal and TOC contents show clear glacial-interglacial cyclic variation such that they are high during the interglacial periods (7.2-50.3% and 0.05-1.00%, respectively) and low during the glacial periods (5.2-25.2% and 0.01-0.68%, respectively). According to the spectral analysis, the variation of opal content is controlled mainly by eccentricity forcing and subsequently by obliquity forcing during the last 700 kyrs. The opal contents of Core LHB-3PC also represent the apparent Mid-Pleistocene Transition (MPT)-related climatic variation in the glacial-interglacial cycles. In particular, the orbital variation of the opal contents shows increasing amplitudes since marine isotope stage (MIS) 11, which defines one of the important paleoclimatic events during the late Quaternary, called the "Mid-Brunhes Event". Based on the variation of the opal contents in Core LHB-3PC, we suggest that the surface-water paleoproductivity in the Indian Sector of the Southern Ocean followed the orbital (glacial-interglacial) cycles, and was controlled mainly by the extent of sea ice distribution during the last 700 kyrs.

누에동충하초 부정형자실체 형성 원인균의 동정

  • 남성희;정이연;홍인표;지상덕;조세연;장승종;한명세
    • 한국잠사학회:학술대회논문집
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    • 한국잠사학회 2003년도 제46회 춘계 학술연구 발표회
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    • pp.50-50
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    • 2003
  • 최근 누에동충하초 재배농가에서 대량발생한 오염균 중 일종은 누에치사 및 부정형 자실체를 발생시켜 생산성 감소시키고 상품성을 저하시켜 농가에 많은 피해를 가져오므로, 이상누에로부터 균을 분리하고 재접종 시험한 결과 원인균은 Paecilomyces farinosus(Holm ex S.F. Gray) Brown & Smith로 동정되었으며 특성은 다음과 같다. (중략)

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