Colombo, Rinaldo M.; Garavello, Mauro Optimizing vaccination strategies in an age structured SIR model. (English) Zbl 1470.92185 Math. Biosci. Eng. 17, No. 2, 1074-1089 (2020). MSC: 92C60 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{M. Garavello}, Math. Biosci. Eng. 17, No. 2, 1074--1089 (2020; Zbl 1470.92185) Full Text: DOI
Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine A multispecies traffic model based on the Lighthill-Whitham and Richards model. (English) Zbl 1409.35138 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 236, 375-394 (2018). MSC: 35L65 35L67 90B20 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., Springer Proc. Math. Stat. 236, 375--394 (2018; Zbl 1409.35138) Full Text: DOI
Colombo, Rinaldo M.; Rossi, Elena Nonlocal conservation laws in bounded domains. (English) Zbl 1395.35143 SIAM J. Math. Anal. 50, No. 4, 4041-4065 (2018). MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{E. Rossi}, SIAM J. Math. Anal. 50, No. 4, 4041--4065 (2018; Zbl 1395.35143) Full Text: DOI arXiv
Colombo, Rinaldo M.; Holden, Helge On the Braess paradox with nonlinear dynamics and control theory. (English) Zbl 1335.35154 J. Optim. Theory Appl. 168, No. 1, 216-230 (2016). MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{H. Holden}, J. Optim. Theory Appl. 168, No. 1, 216--230 (2016; Zbl 1335.35154) Full Text: DOI arXiv Link
Colombo, Rinaldo M.; Marcellini, Francesca A traffic model aware of real time data. (English) Zbl 1339.35176 Math. Models Methods Appl. Sci. 26, No. 3, 445-467 (2016). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35R30 90B20 35R25 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{F. Marcellini}, Math. Models Methods Appl. Sci. 26, No. 3, 445--467 (2016; Zbl 1339.35176) Full Text: DOI arXiv
Colombo, Rinaldo M.; Garavello, Mauro Stability and optimization in structured population models on graphs. (English) Zbl 1320.92068 Math. Biosci. Eng. 12, No. 2, 311-335 (2015). MSC: 92D25 35L50 35R02 35B30 35B35 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{M. Garavello}, Math. Biosci. Eng. 12, No. 2, 311--335 (2015; Zbl 1320.92068) Full Text: DOI arXiv
Colombo, R. M.; Rossi, E. On the micro-macro limit in traffic flow. (English) Zbl 1295.35314 Rend. Semin. Mat. Univ. Padova 131, 217-235 (2014). MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{E. Rossi}, Rend. Semin. Mat. Univ. Padova 131, 217--235 (2014; Zbl 1295.35314) Full Text: DOI
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali A class of nonlocal models for pedestrian traffic. (English) Zbl 1248.35213 Math. Models Methods Appl. Sci. 22, No. 4, 1150023, 34 p. (2012). MSC: 35Q91 35L65 90B20 35R09 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., Math. Models Methods Appl. Sci. 22, No. 4, 1150023, 34 p. (2012; Zbl 1248.35213) Full Text: DOI arXiv
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro Mixed systems: ODEs-balance laws. (English) Zbl 1252.35193 J. Differ. Equations 252, No. 3, 2311-2338 (2012). MSC: 35L65 34A12 35R37 PDFBibTeX XMLCite \textit{R. Borsche} et al., J. Differ. Equations 252, No. 3, 2311--2338 (2012; Zbl 1252.35193) Full Text: DOI
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali Control of the continuity equation with a non local flow. (English) Zbl 1232.35176 ESAIM, Control Optim. Calc. Var. 17, No. 2, 353-379 (2011). Reviewer: Fabio Bagagiolo (Trento) MSC: 35Q93 35L65 49K20 93C20 35R09 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., ESAIM, Control Optim. Calc. Var. 17, No. 2, 353--379 (2011; Zbl 1232.35176) Full Text: DOI arXiv EuDML
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto Road networks with phase transitions. (English) Zbl 1189.35176 J. Hyperbolic Differ. Equ. 7, No. 1, 85-106 (2010). MSC: 35L65 90B20 35L67 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., J. Hyperbolic Differ. Equ. 7, No. 1, 85--106 (2010; Zbl 1189.35176) Full Text: DOI
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D. Stability and total variation estimates on general scalar balance laws. (English) Zbl 1183.35197 Commun. Math. Sci. 7, No. 1, 37-65 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35B30 76V05 35B35 35L45 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., Commun. Math. Sci. 7, No. 1, 37--65 (2009; Zbl 1183.35197) Full Text: DOI arXiv
Colombo, R. M.; Guerra, G. Nonlocal sources in hyperbolic balance laws with applications. (English) Zbl 1140.35517 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 576-584 (2008). MSC: 35L65 35L45 35A05 35L60 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{G. Guerra}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 576--584 (2008; Zbl 1140.35517)
Colombo, R. M. A \(2\times 2\) hyperbolic traffic flow model. (English) Zbl 0994.90021 Math. Comput. Modelling 35, No. 5-6, 683-688 (2002). MSC: 90B20 35L65 PDFBibTeX XMLCite \textit{R. M. Colombo}, Math. Comput. Modelling 35, No. 5--6, 683--688 (2002; Zbl 0994.90021) Full Text: DOI
Colombo, R. M.; Corli, A. Global existence and continuous dependence of phase transitions in hyperbolic conservation laws. (English) Zbl 1010.80008 Iooss, Gérard et al., Trends in applications of mathematics to mechanics. Proceedings of the international conference STAMM 98, 11th symposium, Univ. of Nice, Nice, France, May 25-29, 1998. Boca Raton, FL: CRC Press. Chapman Hall/CRC Monogr. Surv. Pure Appl. Math. 106, 161-171 (2000). MSC: 80A22 35L65 35B30 74N99 76N99 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{A. Corli}, Chapman Hall/CRC Monogr. Surv. Pure Appl. Math. 106, 161--171 (2000; Zbl 1010.80008)