Global and exponential attractors for a Ginzburg-Landau model of superfluidity

The long-time behavior of the solutions for a non-isothermal model in superfluidity is investigated. The model describes the transition between the normal and the superfluid phase in liquid 4He by means of a non-linear differential system, where the concentration of the superfluid phase satisfies a non-isothermal Ginzburg-Landau equation. This system, which turns out to be consistent with thermodynamical principles and whose well-posedness has been recently proved, has been shown to admit a Lyapunov functional. This allows to prove existence of the global attractor which consists of the unstable manifold of the stationary solutions. Finally, by exploiting recent techniques of semigroups theory, we prove the existence of an exponential attractor of finite fractal dimension which contains the global attractor.Comment: 39 page

Marking their own homework: The pragmatic and moral legitimacy of industry self-regulation

When is industry self-regulation (ISR) a legitimate form of governance? In principle, ISR can serve the interests of participating companies, regulators and other stakeholders. However, in practice, empirical evidence shows that ISR schemes often under-perform, leading to criticism that such schemes are tantamount to firms marking their own homework. In response, this paper explains how current management theory on ISR has failed to separate the pragmatic legitimacy of ISR based on self-interested calculations, from moral legitimacy based on normative approval. The paper traces three families of management theory on ISR and uses these to map the pragmatic and moral legitimacy of ISR schemes. It identifies tensions between the pragmatic and moral legitimacy of ISR schemes, which the current ISR literature does not address, and draws implications for the future theory and practice of ISR

Study of some noncooperative linear elliptic systems

summary:Using an approximation method, we show the existence of solutions for some noncooperative elliptic systems defined on an unbounded domain

Early copper Alpine metallurgy

A few of the oldest Alpine copper objects, dating from the Late Neolithic and the Early Copper Age of the Italian Eastern Alps (Alto Adige and Trentino), have been analyzed in order to interpret the manufacturing processes. Conventional metallographic analysis using optical microscopy with reflected light was employed to investigate two copper fragments from Isera La Torretta, Trento. State-of-the-art techniques of crystallographic texture analysis using neutron powder diffraction were used to study three copper axes from Alto Adige: The copper axe of the Iceman, and those from Castelrotto and Colma, Bolzano. The results of the experiments allowed full interpretation of the metallurgical techniques. The copper objects from Isera were rolled from sheets of native copper that had previously been slightly thinned at room temperature. The Iceman and the Colma copper axes were cast into bivalve molds and never underwent significant hot or cold working. The copper axe from Castelrotto shows a marked cube texture deriving from extensive recrystallization due to cold working followed by high temperature annealing. All three axes are presently in the softened state. Neutron diffraction texture analysis proved to be an excellent innovative technique for the totally non-invasive metallographic analysis and interpretation of thick metal objects