1,721,086 research outputs found
Collective behavior of one-dimensional granular media
No full text"Modelling in Applied Sciences, A Kinetic Theory Approach" (editori N. Bellomo e M. Pulvirenti) della Birkhauser nella "Modelling and Simulation in Science, Engineering and Technology Series"
Superfluid hydrodynamics of polytropic gases: dimensional reduction and sound velocity
No full textMotivated by the fact that two-component confined fermionic gases in Bardeen-Cooper-Schrieffer-Bose-Einstein condensate (BCS-BEC) crossover can be described through an hydrodynamical approach, we study these systems - both in the cigar-shaped configuration and in the disc-shaped one - by using a polytropic Lagrangian density. We start from the Popov Lagrangian density and obtain, after a dimensional reduction process, the equations that control the dynamics of such systems. By solving these equations we study the sound velocity as a function of the density by analyzing how the dimensionality affects this velocity
On the Mathematical Theory of Vehicular Traffic Flow I - Fluid Dynamic and Kinetic Modeling
No full textThis review reports the existing literature on traffic flow modelling in the framework of a critical overview which aims to indicate research perspective. The contents mainly refer to modelling by fluid dynamic and kinetic equations and are arranged in three parts. The first part refers to methodological aspects of mathematical modelling and to the interpretation of experimental results. The second part is devoted to modelling and deals both with methodological aspects and with the description of some specific models. The third part reports about an overview on applications and research perspectives
From the Modelling of Driver's Behaviour to Hydrodynamic Models and Problems of Traffic Flow
No full textThe optimization and control of traffic flow along a road or networks of roads, either highways or urban streets, is an interesting and challenging field of interactions between mathematics and engineering sciences. Dealing with such a problem may take advantage of suitable models which describe the evolution in time and space of the flow conditions: car density and velocity. Due to several economical and social motivations, the literature on this topic is vast and characterized by contributions covering modelling aspects, statement of problems, qualitative analysis and simulations related to applications. On the other hand, modelling has not yet reached a satisfactory level so that further analysis and improvements may be necessary in order to reach the standards needed by the qualitative analysis related to applications. The aim of this paper consists in providing a critical analysis suitable to open new research perspectives in the field
On the mathematical modelling of physical systems by ordinary differential stochastic equations
No full text
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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