La riforma della amministrazione locale

Relazioni del convegno della Fondazione Giovanni Agnelli: «La riforma dell’amministrazione locale», prospettive e confronto sul decentramento amministrativo e sul ruolo delle istituzioni locali.- Indice #7- Premessa, Franco Levi #9- La riforma dell’Amministrazione locale, Mario Nigro #11- I presupposti costituzionali della riforma del governo locale, Gustavo Zagrebelsky #61- I Comuni, Giorgio Berti #91- La Provincia e l’ente intermedio, Fabio Roversi-Monaco #107- Problemi inerenti il governo delle aree metropolitane, Giorgio Pastori #131- Gli enti settoriali, Francesco Trimarchi #151- I rapporti tra la Regione e gli enti minori, Franco Bassanini #167- I rapporti tra i vari livelli di governo, Franco Pizzetti #215- La finanza locale, Dino Piero Giarda #23

Mathematical Theory of Electromagnetism

These lecture notes treat the mathematical theory of electromagnetism at a level appropriate for graduate students in mathematics. The subject is treated as a continuum theory. The basic organization of these lectures was made by the first author and used in lectures given at Universita di Roma, La Sapienza. The purpose of them is to give a self contained treatment of electromagnetism for students of mathematics in order to lay the foundation for the many applications of these ideas in applied mathematics. Special features in this regard are the treatment of steady currents in conductors, electromagnetic waves, anisotropy, dispersion and nonlinear optics. [DOI: 10.1685/SELN09001] About DO

Vorticity Generation on a Flat Plate in 3D Flows

{Vortex methods, based on the splitting into Euler and Stokes operators, have been successfully adopted in numerical solutions of three-dimensional Navier-Stokes equations in free-space. Here we deal with their application to flows bounded by solid walls, discussing in particular the boundary conditions for vorticity and their approximation. In two dimensions this has been accomplished by introducing a vortex sheet at the wall, determined by the local slip-velocity, as an approximation of the vorticity source. For three-dimensional flows, we analyze in the context of the Stokes substep the integral equation for the vorticity source and its connection with the creation algorithm adopted in vortex methods. The present analysis leads to a formulation which shows the connection between the exact vorticity source at the wall and the discrete vorticity creation operator adopted in the Chorin-Marsden formula. In particular, the slip velocity at the wall is identified as an approximate solution of the integral equation for the vorticity source and the corresponding error estimate is also discussed. Besides showing the consistency of this approximation, we indicate a numerical procedure which provides a wall-generation of solenoidal vorticity. This is a crucial issue for an accurate application of vortex methods to three-dimensional flows

Uniqueness of bounded flow solution in aerodynamics

{We discuss uniqueness for steady incompressible inviscid flows past a body with a sharp trailing edge TE, with particular regard to multiconnected (toroidal) 3D wing configurations. Boundedness of the velocity field at TE is enforced by means of a singularity removal principal (Kutta condition). The resulting bounded flow solution is unique for 2D airfoils and 3D conventional wings. For toroidal bodies the flow depends on the available eigen-solution which, however, has no direct influence on the lift. In this multiconnected case uniqueness of the bounded solution is shown to depend on the topology of the trailing edge