Buttazzo, Giuseppe (2012) Evolution models for mass transportation problems. Milan journal of mathematics, 2012 (80). pp. 47-63. ISSN 1424-9294
Full text not available from this repository.Abstract
SUMMARY We present a survey on several mass transportation problems, in which a given mass dynamically moves from an initial configuration to a final one. The approach we consider is the one introduced by Benamou and Brenier in [5], where a suitable cost functional $F(\rho,v)$, depending on the density $\rho$ and on the velocity $v$ (which fulfill the continuity equation), has to be minimized. Acting on the functional $F$ various forms of mass transportation problems can be modeled, as for instance those presenting congestion effects, occurring in traffic simulations and in crowd motions, or concentration effects, which give rise to branched structures.
Item Type: | Article |
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Additional Information: | Imported from arXiv |
Subjects: | Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 05 Aug 2013 12:47 |
Last Modified: | 05 Aug 2013 12:47 |
URI: | http://eprints.adm.unipi.it/id/eprint/1326 |
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