Features of Motion Around Global Monopole in Asymptotically dS/AdS Spacetime

In this paper, we study the motion of test particle and light around the Global Monopole in asymptotically dS/AdS spacetime. The motion of a test particle and light in the exterior region of the global monopole in dS/AdS spacetime has been investigated. Although the test particle's motion is quite different from the case in asymptotically flat spacetime, the behaviors of light(null geodesic) remain unchanged except a energy(frequency) shift. Through a phase-plane analysis, we prove analytically that the existence of a periodic solution to the equation of motion for a test particle will not be altered by the presence of cosmological constant and the deficit angle, whose presence only affects the position and type of the critical point on the phase plane. We also show that the apparent capture section of the global monopole in dS/AdS spacetime is quite different from that in flat spacetime.Comment: 15 pages, 4 PS figures, accepted for publication in Class. Quantum Gra

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations

The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$. We give details on the similarities of these dynamics in the cases $d=1$, $d=2$ and $d\geq 3$ and in the corresponding cases $\Omega=(0,1)$, $\Omega=\mathbb{T}^1$ and dim($\Omega$)$\geq 2$ respectively. In addition to the beauty of such a correspondence, this could serve as a guideline for future research on the dynamics of parabolic equations

Managing local labour markets and making up new spaces of welfare

The dissolution of the old mechanisms of state welfare has not yet led to the generation of a new welfare settlement, although the rise of neoliberalism and of what Jessop has called the Schumpeterian Competition State have highlighted some key directions of change. The importance of geographical inequality and unevenness to the process of reshaping welfare has been widely recognised, and the fragmentation and decentralisation of employment and social policies are giving rise to the production of new welfare spaces, which institutionalise the new arrangements, helping to make up neoliberalism in practice. These issues are discussed with the help of case studies of two contrasting areas: Sheffield, a city recently experiencing economic restructuring and high levels of labour-market adjustment and employment deprivation; and Milton Keynes, a city which has been a growth area within the South East since the 1960s and which is earmarked for further employment and the location of planned population and employment growth. The ways in which new welfare spaces are being produced is explored through a consideration of the configuration of partnerships around the governance of workfare, welfare, and competitiveness within these cities

Analyzing, mapping, and managing environmental impacts along supply chains

This article reports on research toward a pragmatic and credible means for analyzing, mapping, and managing environmental impacts along supply chains. The results of this research include a management tool called "ecological supply chain analysis" (EcoSCAn) that is presented here for the first time. Its structure bears a passing resemblance to that used in some streamlined life-cycle assessments, but its operation and purpose are quite different. The EcoSCAn tool frames a comparative environmental analysis of products capable of performing broadly equivalent functions. The analysis occurs over complete extended supply chains and within defined supply chain stages at a product level and, to some extent, at a site level. The results are mapped with data confidence indicators. A range of tactical and, where data quality is sufficient, strategic supply chain actions are prompted. Actions to mitigate environmental stress are possible in the absence of good quality data across entire product life cycles, although the extent to which management actions are limited is made plain