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[en] Results of theoretical and experimental studies of the structure of turbulence in the boundary layer are presented. It is shown that the spectral density of turbulence energy deviates systematically from Kolmogorov-Obukhov's law and a theoretical explanation of this deviation is given
[en] We demonstrate that the processing of the experimental data for the average velocity profiles obtained by J. M. Oesterlund presented in Phys. Fluids 12, 1-4 (2000) was incorrect. Properly processed these data lead to the opposite conclusion: They confirm the Reynolds-number-dependent scaling law and disprove the conclusion that the flow in the intermediate (''overlap'') region is Reynolds-number-independent. (c) 2000 American Institute of Physics
[en] Complete text of publication follows. The presentation will review advances, obtained in the last couple years, in our understanding of the magnetopause, its boundary layer, their role, and the processes that occur there. Observational, modelling and theoretical works will be reviewed.
[en] Several planetary boundary layer and turbulence transport parameterization advancements are reported upon, with the majority of them discovered by looking for a solution to a problem noticed in the course of running an operational NWP model. A surprising degree of sensitivity was repeatedly discovered to solutions found, with the refinements resulting in substantial improvements in the realism of forecasting a variety of actual atmospheric events. These improvements came from a reformulation of the Mellor-Yamada level 2 parameterization of surface fluxes via a change in the associated length scale; from a number of refinements in the specification of the Mellor-Yamada level 2.5 master length scale; and from the discovery of the reason for and improved handling of its realizability problem. Examples of the impact are shown. A refinement is summarized of the explicit molecular sublayer parameterization of Janjic, used over water as a constant-gradient approximation of the Liu, Katsaros and Businger relations. The refinement is arrived at by application of a momentum flux data summary and a suggestion by Brutsaert.
[en] The structure of the boundary layer near the magnetopause is discussed. The boundary layer is the plasma region situated along the magnetospheric boundary. High-latitude boundary layer rises from the dayside cusp and extends to the magnetotail. Low-latitude boundary layer is situated in the frontal part ofthe magnetosphere and on flanks at low latitudes
[en] The boundary layer of a finite domain [ a, b ] covers mesoscopic lateral neighborhoods, inside [ a, b ], of the endpoints a and b. The correct diagnostic of the integrand behavior at a and b, based on its sampling inside the boundary layer, is the first from a set of hierarchically ordered criteria allowing a priori Bayesian inference on efficient mesh generation in automatic adaptive quadrature.
[en] We consider the problem of determining, within an elastic isotropic thin plate, the possible presence of an inclusion made of different elastic material. We prove constructive upper and lower estimates of the area of the inclusion in terms of the work exerted by a couple field applied at the boundary and of the induced transversal displacement and its normal derivative taken at the boundary of the plate