What about people in European Regional Science?

The 51st ERSA Conference held in Barcelona in 2011 was one of the largest ever. Here, by examining the characteristics of the conference, this paper identifies the main trends in Regional Science at a moment in which the discipline is renewing its efforts to provide responses in a complex, globalised world in which cities and regions are acquiring greater and greater importance. This paper follows in the tradition of a long list of studies that have examined the nature of the field of Regional Science and draws on a broad array of sources of information: the delegates’ demographic details, the conference program itself, a satisfaction survey conducted among delegates, a quality survey addressed to those chairing the sessions and, finally, a bibliometric database including each author signing a paper presented at the conference. With this information we describe the ERSA delegates: their relative youthfulness; the areas in which women are taking on a more important role; the countries and regions of the world that have the most dominant profile in Regional Science today; the thematic areas that are being driven by professionals as opposed to academics; the relevance of regional economic growth and innovation as trending topics in the field; the growing frequency of co-authorship and, consequently, of scientific collaboration; and, finally, and perhaps most importantly, the continuous enhancement of the quality of the work being undertaken in the discipline. Indeed, following on from this description, the results of the regression analysis conducted show that for ERSA delegates what matters most is quality, and this must be the direction that future conferences should move toward. Ultimately, therefore, ERSA conferences are comprehensive, all-embracing occasions, representing an ideal opportunity for regional scientists to present their work to each other and to network.

On the analysis of travelling waves to a nonlinear flux limited reaction-diffusion equation

In this paper we study the existence and qualitative properties of travelling waves associated to a nonlinear flux limited partial differential equation coupled to a Fisher-Kolmogorov-Petrovskii-Piskunov type reaction term. We prove the existence and uniqueness of finite speed moving fronts of C2 classical regularity, but also the existence of discontinuous entropy travelling wave solutions.

Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation

This paper is concerned with the modeling and analysis of quantum dissipation phenomena in the Schrödinger picture. More precisely, we do investigate in detail a dissipative, nonlinear Schrödinger equation somehow accounting for quantum Fokker–Planck effects, and how it is drastically reduced to a simpler logarithmic equation via a nonlinear gauge transformation in such a way that the physics underlying both problems keeps unaltered. From a mathematical viewpoint, this allows for a more achievable analysis regarding the local wellposedness of the initial–boundary value problem. This simplification requires the performance of the polar (modulus–argument) decomposition of the wavefunction, which is rigorously attained (for the first time to the best of our knowledge) under quite reasonable assumptions.