Two-dimensional supersonic nonlinear Schrodinger flow past an extended obstacle

Supersonic flow of a superfluid past a slender impenetrable macroscopic obstacle is studied in the framework of the two-dimensional (2D) defocusing nonlinear Schroumldinger (NLS) equation. This problem is of fundamental importance as a dispersive analog of the corresponding classical gas-dynamics problem. Assuming the oncoming flow speed is sufficiently high, we asymptotically reduce the original boundary-value problem for a steady flow past a slender body to the one-dimensional dispersive piston problem described by the nonstationary NLS equation, in which the role of time is played by the stretched x coordinate and the piston motion curve is defined by the spatial body profile. Two steady oblique spatial dispersive shock waves (DSWs) spreading from the pointed ends of the body are generated in both half planes. These are described analytically by constructing appropriate exact solutions of the Whitham modulation equations for the front DSW and by using a generalized Bohr-Sommerfeld quantization rule for the oblique dark soliton fan in the rear DSW. We propose an extension of the traditional modulation description of DSWs to include the linear ""ship-wave"" pattern forming outside the nonlinear modulation region of the front DSW. Our analytic results are supported by direct 2D unsteady numerical simulations and are relevant to recent experiments on Bose-Einstein condensates freely expanding past obstacles.

Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder

This paper deals with the calculation of the discrete approximation to the full spectrum for the tangent operator for the stability problem of the symmetric flow past a circular cylinder. It is also concerned with the localization of the Hopf bifurcation in laminar flow past a cylinder, when the stationary solution loses stability and often becomes periodic in time. The main problem is to determine the critical Reynolds number for which a pair of eigenvalues crosses the imaginary axis. We thus present a divergence-free method, based on a decoupling of the vector of velocities in the saddle-point system from the vector of pressures, allowing the computation of eigenvalues, from which we can deduce the fundamental frequency of the time-periodic solution. The calculation showed that stability is lost through a symmetry-breaking Hopf bifurcation and that the critical Reynolds number is in agreement with the value presented in reported computations. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

A Future for the Past: Rethinking the Garden Suburb

In the quest for sustainability in affluent urban societies we could do much worse than to look again at what the garden suburb attempted to do. Brentham garden suburb in West London, which has recently celebrated its centenary, is a case in point.

Review of 'The Thai Village Economy in the Past'

This charmingly old-fashioned little book was first published in Thai in 1984, and now appears in an elegant English translation. The two major intellectual influences that gave it birth are rather older, dating from the 1950s, 1960s, and early 1970s. The first developed from the intersection of the academic pre-eminence of varieties of Marxist thinking about the Third World and the struggles of anticolonial peasant-based revolutionaries and produced a high age of romanticism about the Southeast Asian village and the unfortunate victims who inhabited them. The origins of the second are more uncertain, but probably represent, paradoxically, a Thai appropriation of those Western social-science constructions of Thai cultural uniqueness which were especially popular in the 1950s and 1960s.

Transdermal estrogen therapy effects on fibrinogen levels in women with a past history of venous thromboembolism: a pilot study

Objective: To evaluate thromboelastographic parameters and fibrinogen levels in women treated with transdermal 17 beta estradiol. Methods: 29 menopausal women with a history of venous thromboembolic disease were included. Nine patients composed the treatment (HT) group and 20 the control group. Coagulation was assessed by thromboelastography in samples of whole blood and platelet-poor plasma (PPP). The following thromboelastographic variables were measured: time for initial coagulation (R), blood clotting speed (K and the a angle), clot tensile strength (MA and G), global index of coagulation (Cl) and fibrinolysis (LY30) and fibrinogen levels. Results: There were no differences in the other parameters comparing both groups. Fibrinogen levels showed a 13.77 +/- 19.94% reduction in the HT group and a 5.51 +/- 8.09% increase in the control group after 6 months. Conclusions: Our data suggested that transdermal estrogen may not increase blood coagulability, but that it reduces fibrinogen levels in FIT women.