LetM = (M,OM) be a smooth supermanifold with connection ∇ and Batchelor model OM ∼= ΓΛE∗ . From (M,∇) we construct a connection on the total space of the vector bundle E →M . This reduction of∇ is well-defined independently of the isomorphism OM ∼= ΓΛE∗ . It erases information, but however it turns out that the natural identification of supercurves inM (as maps from R1|1 toM) with curves in E r...

Numerical solutions are presented for the steady flow corresponding to a two-dimensional moving droplet with circulation. Differences in the density of the droplet and surrounding fluid result in a buoyancy force which is balanced by a lift force due to the Magnus effect. The droplet is assumed to have constant vorticity in its interior, and its boundary may be a vortex sheet, as in a Prandtl– ...

D. G. Dritschel, R. K. Scott, C. Macaskill, G. A. Gottwald and C. V. Tran School of Mathematics and Statistics, University of St Andrews, St Andrews KY16 9SS, UK e-mail: [email protected], [email protected], [email protected] School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia e-mail: [email protected], [email protected] Abstract We prese...

Recently Beaton, de Gier and Guttmann proved a conjecture of Batchelor and Yung that the critical fugacity of self-avoiding walks interacting with (alternate) sites on the surface of the honeycomb lattice is 1 + √ 2. A key identity used in that proof depends on the existence of a parafermionic observable for self-avoiding walks interacting with a surface on the honeycomb lattice. Despite the ab...

23. Cleary MP, Klein BE, Brasel JA, Greenwood MRC: Thymidine kinase and DNA polymerase activity during postnatal growth of the epididymal fat pad. J Nutr 109: 48, 1979 24. Hager A, Sjostrom L, Arvidsson B, Bjorntorp P, Smith U: Body fat and adipose tissue cellularity in infants: a longitudinal study. Metabolism 26: 607, 1977 25. Brook CGD: Evidence for a sensitive period in adipose cell replica...

The law of decay of turbulence has been discussed by several authors by making various assumptions. Recently, Batchelor' made a summarizing discussion of some of these assumptions and their consequences. The present author has made a different assumption, which seems to be suggested by Kolmogoroff's concept of turbulence at high Reynolds numbers, and yet has not been covered by Batchelor's disc...

Experimental data on differential diffusion between two species with large and quite disparate Schmidt numbers were obtained in a turbulent water jet by optically measuring the two species concentrations simultaneously. Experimental conditions were chosen so that the species were dilute and did not affect the water density thereby avoiding inertial effects. Differential diffusion was found to b...

The theory of two-dimensional (2D) fully developed turbulence (FDT) (Kraichnan [1], Batchelor [2]), until recently, remained almost an academic exercise, not withstanding its possible connections with large-scale flows in thin fluid shells such as atmospheres and oceans. 2D FDT has now been produced to a close approximation in a variety of laboratory experiments (Couder [3], Kellay et al. [4], ...