We consider an emulsion of two Stokes uids, one of which is periodically distributed in the form of small spherical bubbles. The eeects of surface tension on the bubble boundaries are modelled mathematically , as in the work of G. I. Taylor, by a jump only in the normal component of the traction. For a given volume fraction of bubbles we consider the two-scale convergence, and in the ne phase l...

The dangers of treatment of syphilis are often minimized; one of the most serious complications of arsenical treatment is encephalopathy. This complication is rare, but is associated with a high mortality. There is apparently some difference of opinion and experience regarding the increased hazards oftreatment oflues during pregnancy. Earle Moore and others (1948) emphasize the rarity of arseni...

We study inviscid limits of invariant measures for the 2D Stochastic Navier-Stokes equations. As shown in [Kuk04] the noise scaling p ν is the only one which leads to non-trivial limiting measures, which are invariant for the 2D Euler equations. We show that any limiting measure μ0 is in fact supported on bounded vorticities. Relationships of μ0 to the long term dynamics of Euler in the L∞ with...

We report measurements of the spreading rate of pairs of tracer particles in an intensely turbulent laboratory water flow. We compare our measurements of this turbulent relative dispersion with the longstanding work of Richardson and Batchelor, and find excellent agreement with Batchelor’s predictions. The distance neighbour function, the probability density function of the relative dispersion,...

THE SEARCH for a simple secure method for the repair of indirect hernia continues. In 1899 Kocher (Kocher, 1903) introduced displacement of the invaginated neck of the sac lateral to the inferior epigastric vessels. This method never achieved the popularity of that suggested by Bassini but has been practised by various surgeons; C. J. A. Woodside of Belfast used it throughout his surgical caree...

From 1956 to 1965, congenital dislocation of the hip was treated in a standard manner in 191 cases. Reduction and plaster immobilisation was followed by a period in a Batchelor type plaster in full medial rotation. Femoral neck anteversion was then corrected by derotation osteotomy. In 95 children 117 hips were treated in this way and have been reviewed annually for 18 to 27 years. In 1983 they...

1Division of Hematology and Oncology, Sainte-Justine Hospital, University of Montreal, Montreal, QC, Canada; 2Departments of Pediatric Oncology, Biostatistics and Computational Biology, Dana-Farber Cancer Institute, Boston, MA; 3Division of Pediatric Hematology/Oncology, University of Rochester Medical Center, Rochester, NY; 4Division of Pediatric Hematology/Oncology, McMaster University, Hamil...

The passive scalars in the decaying compressible turbulence with the initial Reynolds number (defined by Taylor scale and RMS velocity) Re=72, the initial turbulent Mach numbers (defined by RMS velocity and mean sound speed) Mt=0.2-0.9, and the Schmidt numbers of passive scalar Sc=2-10 are numerically simulated by using a 7 order upwind difference scheme and 8 order group velocity control schem...

We investigate the regime of fully developed homogeneous and isotropic turbulence of the Navier-Stokes (NS) equation in the presence of a stochastic forcing, using the nonperturbative (functional) renormalization group (NPRG). Within a simple approximation based on symmetries, we obtain the fixed-point solution of the NPRG flow equations that corresponds to fully developed turbulence both in d=...

We point out some similarities between the statistics of high Reynolds number turbulence and critical phenomena. An analogy is developed for two-dimensional decaying flows, in particular by studying the scaling properties of the two-point vorticity correlation function within a simple phenomenological framework. The inverse of the Reynolds number is the analog of the small parameter that separa...