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On the initial value problem of a class of models of the kinetic theory for active particles

✍ Scribed by L. Arlotti; E. De Angelis


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
227 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis


This paper deals with the qualitative analysis of the Cauchy problem for a class of systems constituted by a large number of interacting entities called active particles. Their state includes, in addition to geometrical and mechanical variables, also a microscopic state related to their socio-biological behavior, which is called activity. Microscopic interactions are governed by the self-organizing ability, which finalizes the dynamics according to well defined strategies.


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From the mathematical kinetic theory for
✍ Nicola Bellomo; Abdelghani Bellouquid; Juan Soler πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 574 KB

This paper deals with the derivation of macroscopic equations from the underlying kinetic model delivered by the kinetic theory of active particles with discrete microscopic states. Hyperbolic models for local density and mean velocity are obtained with the aim at adding further knowledge to mathema