Intervista alla figlia di Beppo Levi (Emilia Resta) in occasione dei 140 anni dalla sua nascita. Nel breve articolo di presentazione viene anche ricordato il fratello di Beppo Levi, Eugenio Elia noto e geniale matematico che ebbe breve vita immolata al fronte durante la Grande Guerra. All'interno dell'articolo viene anche riproposto e riprodotto un lungo e polemico scritto di Beppo Levi, inviato e apparso sotto forma di lettera sul periodico Israel del 30 giugno 1918, che verte sulla nascita dello stato ebraico in Palestina.

In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents. (C) 2015 Elsevier Ltd. All rights reserved.

Bruno de Finetti è senza dubbio una delle figure più importanti per la storia della Statistica e del Calcolo delle Probabilità in Italia. Però i suoi interessi furono molto più ampi e compresero molti settori della cosiddetta matematica applicata. In particolare giocò un ruolo importante nella nascita del calcolo numerico e dell'informatica in Italia, settori che peraltro costituiscono importanti strumenti per l'applicazione dei suoi studi principali.

This work describes two applications of the vehicle routing problem (VRP) to the design of fixed and periodic routes. The first application is an industrial case in the field of touristic cruise planning where point of interests should be visited within exactly one of multiple time windows on a weekly time basis. The second application is in retail distribution of fuel oils where petrol stations must be refueled with given fuel oil amounts periodically within a given time horizon.

In this paper we consider the final distribution of fuel oil from a storage depot to a set of petrol stations faced by an oil company, which has to decide the weekly replenishment plan for each station, and determine petrol station visiting sequences (vehicle routes) for each day of the week, assuming a fleet of homogeneous vehicles (tankers). The aim is to minimize the total distance travelled by tankers during the week, while loading tankers possibly near to their capacity in order to maximize the resource utilization.

In this paper we study a semilinear hyperbolic-parabolic system modeling biological phenomena evolving on a network composed of oriented arcs. We prove the existence of global (in time) smooth solutions to this problem. The result is obtained by using energy estimates with suitable transmission conditions at nodes.

Source modeling of EEG data is an important tool for both neuroscience and clinical applications, such as epilepsy. Despite their simplicity, multiple dipole models remain highly desirable to explain neural sources. However, estimating dipole models from EEG time-series remains a difficult task, mainly due to the ill-posedness of the inverse problem and to the fact that the number of dipoles is usually not known a priori.

Eugenio Elia Levi (1883-1917) fu uno dei più grandi matematici italiani del 900, come del resto il fratello Beppo. La sua produzione scientifica fu tanto profonda quanto differenziata, venne immediatamente apprezzata negli ambienti matematici internazionali e, a distanza di un secolo, conserva grande attualità in diversi campi della matematica. Momento importantissimo per la sua formazione fu la permanenza nella Scuola Normale Superiore di Pisa.

We examine spatially explicit models described by reaction-diffusion partial differential equations for the study of predator-prey population dynamics. The numerical methods we propose are based on the coupling of a finite difference/element spatial discretization and a suitable partitioned Runge-Kutta scheme for the approximation in time. The RK scheme here implemented uses an implicit scheme for the stiff diffusive term and a partitioned RK symplectic scheme for the reaction term (IMSP schemes).