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Dipartimento
di Matematica e Applicazioni |
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Phone: |
[+] 39 02
6448 5763 |
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Fax: |
[+] 39 02
6448 5705 |
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E-mail: |
f.marcellini @ campus.unimib.it |
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My main research interests
are related to Hyperbolic Systems of Conservation Laws: their basic theory and
their applications. In particular, I'm studying models concerning traffic flow
and gas dynamics (p-System and Euler System). I prepared my
PhD-Thesis under the supervision of Prof. Rinaldo M. Colombo (University of Brescia).
PhD Thesis (December 21st 2009)
Conservation
Laws in Gas Dynamics and Traffic Flow. Università di Milano-Bicocca,
2009. PDF
Curriculum PDF
Graziano Guerra, Francesca
Marcellini, Veronika Schleper, Balance laws with integrable unbounded sources, SIAM
Journal on Mathematical Analysis, 41: 1164-1189, 2009. PDF
Rinaldo M. Colombo,
Francesca Marcellini, Smooth and Discontinuous Junctions in the p-System,
Journal of Mathematical Analysis and Applications, 361: 440-456,
2010. PDF
Rinaldo M. Colombo,
Francesca Marcellini, Michel Rascle, A 2-Phase
Traffic Model Based on a Speed Bound, SIAM Journal on Applied Mathematics,
70: 2652-2666, 2010. PDF
Rinaldo M. Colombo,
Francesca Marcellini, Coupling Conditions for the 3x3 Euler System, Networks
and Hetergeneous Media, 5: 675-690, 2010. PDF
Graziano Guerra, Michael
Herty, Francesca Marcellini, Modeling and Analysis of Pooled Stepped Chutes, Networks
and Hetergeneous Media, to appear, 2011. PDF
Rinaldo M. Colombo,
Francesca Marcellini, Smooth and Discontinuous Junctions in the p-System
and in the 3x3 Euler System, Riv. Mat. Univ. Parma, 3:
000-000, 2012, to appear. PDF