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relative width OF SMOOTH CLASSES OF MULTIVARIATE PERIODIC FUNCTIONS WITH RESTRICTIONS ON ITERATED LAPLACE DERIVATIVES IN THE L_2-METRIC

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Acta Mathematica Scientia 2006年第4期26卷 720-728页

作者：刘永平杨连红 School of Mathematical Sciences Beijing Normal University Beijing 100875China Department of Applied Mathematics Communication University of China Beijing 100024China

For two subsets W and V of a Banach space X, let Kn（W, V, X） denote the relative Kolmogorov n-width of W relative to V defined by Kn（W,V,X）：=inf sup inf/Ln f∈W g∈V∩Ln‖f-g‖x, where the infimum is taken over all n-dimensional linear subspaces Ln of X. Let W2（△^τ） denote the class of 2π-periodic functions f with d-variables satisfying ∫[-π, π]^d｜△^τf（x）｜^2dx≤1, while △^τ is the r-iterate of Laplace operator △. This article discusses the relative Kolmogorov n-width of W2（△^τ） relative to W2（△^τ） in Lq（[-π, π]^d）（1≤ q ≤ ∞）, and obtain its weak asymptotic result.

关键词： Multivariate function classes width relative width

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Investigating the Effect of relative width on Momentum Transfer between Main Channel and Floodplain in Rough Rectangular Compound Channel Sunder Varius relative Depth Condition

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Open Journal of Geology 2016年第4期6卷 225-231页

作者： Shima Bahadori Mehdi Behdarvandi Askar Master’s Student Department of Offshore Structures Faculty of Marine EngineeringKhorramshahr University of Marine Science and Technology Khorramshahr Iran Assistant Professor Department of Offshore Structures Faculty of Marine EngineeringKhorramshahr University of Marine Science and Technology Khorramshahr Iran

Compound section is referred to a section the surface of which is made of several sub-sections with different flow characteristics. The difference in the hydraulic and geometry characteristics causes a complexity in flow hydraulic and creates an interaction between the main channel and floodplains, resulting in an apparent shear stress and a transverse momentum transfer. The amount of such a stress plays an important role in many river engineering measures [1]. Due to the flow complexity, the common approximate analytical methods are not enough to identify the flow profile. The FLOW3D Software with its great features in three-dimensional analysis of flow field is used as a tool to investigate the shear stress in a direct symmetrical compound rectangular channel. After the simulation of models, it is found that an increase in the relative width and relative depth parameters decreases the percentage of apparent shear stress and an increase in the relative roughness causes it to be increased [2].

关键词： Compound Channel Momentum Transfer relative Roughness relative Depth relative width

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