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- Giuseppe Maria Coclite, Mauro Garavello, Benedetto Piccoli
- SIAM J. Math. Analysis
- 2005

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with junctions. The evolution problem is underdetermined at junctions, hence we choose to have some fixed rules for the… (More)

We consider an hyperbolic conservation law with discontinuous flux. Such partial differential equation arises in different applicative problems, in particular we are motivated by a model of traffic flow. We provide a new formulation in terms of Riemann Solvers. Moreover, we determine the class of Riemann Solvers which provide existence and uniqueness of the… (More)

- Rinaldo M. Colombo, Mauro Garavello
- NHM
- 2006

- M. Garavello, P. Goatin
- 2010

We consider solutions of the Aw-Rascle model for traffic flow fulfilling a constraint on the flux at x = 0. Two different kinds of solutions are proposed: at x = 0 the first one conserves both the number of vehicles and the generalized momentum, while the second one conserves only the number of cars. We study the invariant domains for these solutions and we… (More)

- Mauro Garavello, Benedetto Piccoli
- SIAM J. Control and Optimization
- 2005

We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and we provide necessary conditions for an optimal hybrid trajectory, stating a Hybrid Necessary Principle (HNP). Our result generalizes various necessary principles available in the literature.

- Rinaldo M. Colombo, Mauro Garavello
- SIAM J. Math. Analysis
- 2008

In this paper, we investigate the connections between controllability properties of distributed systems and existence of non zero entire functions subject to restrictions on their growth and on their sets of zeros. Exploiting these connections, we first show that, for generic bounded open domains in dimension n ≥ 2, the steady-state controllability for the… (More)

- Mauro Garavello, Benedetto Piccoli
- NHM
- 2009

The aim of this paper is to address the following questions: which models, among fluido-dynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models… (More)

- P Antognoni, L Cerizza, +5 authors M Tordiglione
- Annals of oncology : official journal of the…
- 1992

From 1977 to 1988, 81 adult patients with localized soft tissue sarcomas at different sites received postoperative external beam radiotherapy (55 Gy median dose) following primary conservative surgery. Sixty were new referrals after primary surgery and 21 were irradiated after excision of recurrent disease. With a median follow-up of 4 years (range: 2-13)… (More)