• Title/Summary/Keyword: smooth

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BOUNDARY BEHAVIOR OF LARGE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS

  • Sun, Juan;Yang, Zuodong
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.969-980
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    • 2011
  • In this paper, our main purpose is to consider the quasilinear elliptic equation $$div(|{\nabla}u|^{p-2}{\nabla}u)=(p-1)f(u)$$ on a bounded smooth domain ${\Omega}\;{\subset}\;R^N$, where p > 1, N > 1 and f is a smooth, increasing function in [0, ${\infty}$). We get some estimates of a solution u satisfying $u(x){\rightarrow}{\infty}$ as $d(x,\;{\partial}{\Omega}){\rightarrow}0$ under different conditions on f.

Effect of Surface Roughness on Turbulent Concentric Annular Flows (난류 이중동심관 유동에 미치는 표면거칠기 효과)

  • 김경천;안수환;정양범
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.7
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    • pp.1749-1757
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    • 1995
  • The structure of turbulence of fully developed flow through three concentric annuli with both rough inner and outer walls was investigated experimentally for Reynolds number range Re=15000-93000. Turbulence intensities were measured in three (u, v, w) directions, and turbulence shear stresses in annuli of radius ratios .alpha.= 0.26, 0.4 and 0.56, respectively. The result showed that the structure of turbulence for these asymmetric flows was not the same as that for the annulus with smooth walls. The velocity fluctuations of all three components (u, v, and w-directions) showed little discernible variation with Reynolds numbers, but became apparent with the influence of radius ratio (.alpha.) The experimental results for an annulus with the roughened outer wall and a smooth annulus were shown in the figures as a reference. The eddy diffusivities and friction factors were also presented and discussed.

Mann-Iteration process for the fixed point of strictly pseudocontractive mapping in some banach spaces

  • Park, Jong-An
    • Journal of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.333-337
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    • 1994
  • Many authors[3][4][5] constructed and examined some processes for the fixed point of strictly pseudocontractive mapping in various Banach spaces. In fact the fixed point of strictly pseudocontractive mapping is the zero of strongly accretive operators. So the same processes are used for the both circumstances. Reich[3] proved that Mann-iteration precess can be applied to approximate the zero of strongly accretive operator in uniformly smooth Banach spaces. In the above paper he asked whether the fact can be extended to other Banach spaces the duals of which are not necessarily uniformly convex. Recently Schu[4] proved it for uniformly continuous strictly pseudocontractive mappings in smooth Banach spaces. In this paper we proved that Mann-iteration process can be applied to approximate the fixed point of strictly pseudocontractive mapping in certain Banach spaces.

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A Data Hiding Scheme for Grayscale Images Using a Square Function

  • Kwon, Hyejin;Kim, Haemun;Kim, Soonja
    • Journal of Korea Multimedia Society
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    • v.17 no.4
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    • pp.466-477
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    • 2014
  • Many image hiding schemes based on least significant bit (LSB) transformation have been proposed. One of the LSB-based image hiding schemes that employs diamond encoding was proposed in 2008. In this scheme, the binary secret data is converted into base n representation, and the converted secret data is concealed in the cover image. Here, we show that this scheme has two vulnerabilities: noticeable spots in the stego-image, i.e., a non-smooth embedding result, and inefficiency caused by rough re-adjustment of falling-off-boundary value and impractical base translation. Moreover, we propose a new scheme that is efficient and produces a smooth and high quality embedding result by restricting n to power of 2 and using a sophisticated re-adjustment procedure. Our experimental results show that our scheme yields high quality stego-images and is secure against RS detection attack.

EXPLICIT EQUATIONS FOR MIRROR FAMILIES TO LOG CALABI-YAU SURFACES

  • Barrott, Lawrence Jack
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.139-165
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    • 2020
  • Mirror symmetry for del Pezzo surfaces was studied in [3] where they suggested that the mirror should take the form of a Landau-Ginzburg model with a particular type of elliptic fibration. This argument came from symplectic considerations of the derived categories involved. This problem was then considered again but from an algebro-geometric perspective by Gross, Hacking and Keel in [8]. Their construction allows one to construct a formal mirror family to a pair (S, D) where S is a smooth rational projective surface and D a certain type of Weil divisor supporting an ample or anti-ample class. In the case where the self intersection matrix for D is not negative semi-definite it was shown in [8] that this family may be lifted to an algebraic family over an affine base. In this paper we perform this construction for all smooth del Pezzo surfaces of degree at least two and obtain explicit equations for the mirror families and present the mirror to dP2 as a double cover of ℙ2.

NUMERICAL ANALYSIS OF MULTIPHASE FLOW BY NUFLEX (NUFLEX의 다상유동 해석)

  • Son, Gi-Hun;Suh, Young-Ho;YU, Tae-Jin;Hur, Nahm-Keon
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.95-98
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    • 2007
  • A general purpose program NUFLEX has been extended for two-phase flows with topologically complex interface and cavitation flows with liquid-vapor phase change caused by large pressure drop. In analysis of two-phase flow, the phase interfaces are tracked by employing a LS(Level Set) method. Compared with the VOF(Volume-of-Fluid} method based on a non-smooth volume-fraction function, the LS method can calculate an interfacial curvature more accurately by using a smooth distance function. Also, it is quite straightforward to implement for 3-D irregular meshes compared with the VOF method requiring much more complicated geometric calculations. Also, the cavitation process is computed by including the effects of evaporation and condensation for bubble formation and collapse as well as turbulence in flows. The volume-faction and continuity equations are adapted for cavitation models with phase change. The LS and cavitation formulation are implemented into a general purpose program for 3-D flows and verified through several test problems.

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An Experimental Study on Drag Reduction of Grooved Cylinders (Riblet 홈을 가진 원주의 저항감소에 관한 연구)

  • Lim, Hee-Chang;Lee, Sang-Joon
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.508-513
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    • 2000
  • An experimental investigation has been carried out for two circular cylinders having different groove configurations(U and V-shape). The results were compared with those for the smooth circular cylinder. The drag force, mean velocity and turbulent intensity profiles of wake behind the cylinders were measured with varying the Reynolds number $Re=8000{\sim}14,000$ based on the cylinder diameter. As a results, the U-groove circular cylinder was found to be most effective riblet shape with reducing the drag up to 21%. As the Reynolds number increases, the vortex shedding frequency of the grooved cylinders becomes a little larger, compared to the smooth cylinder. The flow visualization using the smoke-wire technique was also carried out to see the flow structure qualitatively.

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Study on the surface characteristics of concrete walls by coating film of formwork (거푸집 코팅필름에 따른 콘크리트벽의 표면 특성 연구)

  • Lee, Yun-Suk;Seo, Ju-Yeong;Kim, Wan-Su;Lee, Young-Do
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2017.05a
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    • pp.202-203
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    • 2017
  • In this study, the concept of exposed concrete is basically considered and various expressions of concrete surface texture are verified variously. Based on this comparison, the characteristics of exposed surface of concrete according to the change of coating material applicable to formwork are compared and analyzed. I am trying to find a way to apply exposed concrete in a convenient way, In order to observe the characteristics of concrete exposed surface according to the form material, As the surface is smooth and tight, the surface condition of the concrete is smooth and the pore is small.

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A Study on Relationship between Element theory of Cecil Balmond and Virtual Circulation of Gilles Delueze (세실 발몽드의 요소이론과 들뢰즈의 잠재적순환론의 관계성 연구)

  • Lim, Ki-Taek
    • Korean Institute of Interior Design Journal
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    • v.22 no.1
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    • pp.124-131
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    • 2013
  • The innovative designer and structural engineer, Cecil Balmond is co-representative of Ove Arup and has been co-worked with world-famous architects and has been influenced so much on architectural thinking. These days he extended his career as an architect. Moreover, he has been noticed through a few publishing by his own architectural thinking. He is describing the World with his unique insight based on structural perspectives, which have much common grounds with that of Deulezian philosophy. It is especially valuable to study the relationship between his thinking of Interior-Exterior Ring and Deleuzian thinking of Virtual Circulation for understanding more clearly about structural and compositional principle how world is composed of. The Ring is circulationg from interior to exterior which is similar with Deleuzian concept that the Smooth and the Striated is circulationg mutually. Seamless flight line would be ceaseless creative virtual process to actuality.

Effect of Inlet Velocity Distribution on the Heat Transfer Coefficient in a Rotating Smooth Channel (입구 속도 분포가 매끈한 회전유로 내 열전달계수에 미치는 영향)

  • Choi, Eun-Yeong;Lee, Yong-Jin;Jeon, Chang-Soo;Kwak, Jae-Su
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.6
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    • pp.76-84
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    • 2011
  • The effect of inlet velocity profile on the heat transfer coefficient in a rotating smooth channel was investigated experimentally. Three simulated inlet flow conditions of fully developed, uniform, and distorted inlet conditions were tested. The Reynolds number based on the channel hydraulic diameter was ranged from 10,000 to 30,000 and the transient liquid crystal technique was used to measure the distribution of the heat transfer coefficient in the rotating channel. Results showed that the overall heat transfer coefficient increased as the Reynolds number increased. Also, the distribution of the heat transfer coefficient was strongly affected by the inlet flow condition. Generally, the fully developed flow simulated condition showed the highest heat transfer coefficient.