Edit Profile (opens in new tab) Colombo, Rinaldo M. Co-Author Distance Author ID: colombo.rinaldo-m Published as: Colombo, Rinaldo M.; Colombo, R. M. Homepage: http://rinaldo.unibs.it External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 148 Publications since 1990 11 Contributions as Editor · 1 Further Contribution Co-Authors: 71 Co-Authors with 150 Joint Publications 1,809 Co-Co-Authors all top 5 Co-Authors 10 single-authored 25 Garavello, Mauro 19 Guerra, Graziano 15 Corli, Andrea 15 Rossi, Elena 13 Marcellini, Francesca 12 Rosini, Massimiliano Daniele 10 Goatin, Paola 6 Bianchini, Stefano 6 Marson, Andrea 5 Lécureux-Mercier, Magali 4 Borsche, Raul 4 Bressan, Alberto 4 Groli, Alessandro 4 Gwiazda, Piotr 4 Herty, Michael Matthias 4 LeFloch, Philippe Gerard 4 Monti, Francesca 3 Ancona, Fabio 3 Cellina, Arrigo 3 Holden, Helge 3 Mercier, Magali 3 Piccoli, Benedetto 3 Pogodaev, Nikolaĭ Il’ich 3 Rohde, Christian 3 Schleper, Veronika 2 Amadori, Debora 2 Bagnerini, Patrizia 2 Benzoni-Gavage, Sylvie 2 Karlsen, Kenneth Hvistendahl 2 Lagoutière, Frédéric 2 Perrollaz, Vincent 2 Priuli, Fabio Simone 1 Ackleh, Azmy S. 1 Aggarwal, Aekta 1 Amorim, Paulo 1 Bayen, Alexandre M. 1 Calvo, Daniela 1 Carrillo de la Plata, José Antonio 1 Cattani, Anna 1 Chyba, Monique 1 Crippa, Gianluca 1 De Lellis, Camillo 1 Facchi, Giancarlo 1 Frid, Hermano 1 Fryszkowski, Andrzej 1 Gokieli, Maria 1 Hille, Sander Cornelis 1 Holle, Yannick 1 Křivan, Vlastimil 1 Kröner, Dietmar 1 Lorenz, Thomas 1 Maternini, Giulio 1 Mauri, Cristina 1 Meltzer, Marie-Christine 1 Meurer, Anne 1 Montanari, Annamaria 1 Muntean, Adrian 1 Nguyen, Khai T. 1 Pedretti, S. 1 Rascle, Michel 1 Risebro, Nils Henrik 1 Rosińska, Magdalena 1 Rzezuchowski, Tadeusz 1 Sachers, Veronika 1 Shen, Wen 1 Staicu, Vasile 1 Sylla, Abraham 1 Tandy, Matthew 1 Teixeira, Andreia Sofia 1 Trivisa, Konstantina 1 Ulikowska, Agnieszka all top 5 Serials 9 Journal of Differential Equations 8 Networks and Heterogeneous Media 5 Mathematical Methods in the Applied Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Analysis. Real World Applications 4 Communications in Mathematical Sciences 4 Journal of Hyperbolic Differential Equations 4 Mathematical Biosciences and Engineering 4 Oberwolfach Reports 3 Journal of Mathematical Analysis and Applications 3 Quarterly of Applied Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Rivista di Matematica della Università di Parma. New Series 2 Archive for Rational Mechanics and Analysis 2 IMA Journal of Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Control and Optimization 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Rendiconti del Seminario Matematico 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Flow, Turbulence and Combustion 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Lecture Notes of the Unione Matematica Italiana 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematics in Industry all top 5 Fields 134 Partial differential equations (35-XX) 41 Operations research, mathematical programming (90-XX) 28 Fluid mechanics (76-XX) 18 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 6 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 1,675 times in 818 Documents Cited by ▼ Year ▼ A class of nonlocal models for pedestrian traffic. Zbl 1248.35213Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 97 2012 Hyperbolic phase transitions in traffic flow. Zbl 1037.35043Colombo, Rinaldo M. 63 2002 Control of the continuity equation with a non local flow. Zbl 1232.35176Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali 60 2011 Pedestrian flows and non-classical shocks. Zbl 1108.90016Colombo, Rinaldo M.; Rosini, Massimiliano D. 57 2005 Nonlocal crowd dynamics models for several populations. Zbl 1265.35214Colombo, Rinaldo M.; Lécureux-Mercier, Magali 53 2012 An \(n\)-populations model for traffic flow. Zbl 1143.82323Benzoni-Gavage, Sylvie; Colombo, Rinaldo M. 51 2003 The semigroup generated by \(2 \times 2\) conservation laws. Zbl 0849.35068Bressan, Alberto; Colombo, Rinaldo M. 47 1995 Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola 43 2015 Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A. 42 2012 A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086Colombo, Rinaldo M.; Garavello, Mauro 40 2006 On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia 39 2015 Optimal control in networks of pipes and canals. Zbl 1196.35135Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V. 37 2009 On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399Colombo, Rinaldo M.; Garavello, Mauro 33 2008 On \(2\times2\) conservation laws at a junction. Zbl 1171.35430Colombo, R. M.; Herty, M.; Sachers, V. 32 2008 Continuous dependence for \(2 \times 2\) conservation laws with boundary. Zbl 0884.35091Amadori, Debora; Colombo, Rinaldo M. 28 1997 Mixed systems: ODEs-balance laws. Zbl 1252.35193Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 27 2012 A 2-phase traffic model based on a speed bound. Zbl 1211.35183Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel 27 2010 Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D. 26 2009 A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087Colombo, Rinaldo M.; Goatin, Paola 26 2007 On the modelling and management of traffic. Zbl 1267.90032Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 25 2011 Unique solutions of \(2\times 2\) conservation laws with large data. Zbl 0852.35092Bressan, Alberto; Colombo, Rinaldo M. 25 1995 A \(2\times 2\) hyperbolic traffic flow model. Zbl 0994.90021Colombo, R. M. 25 2002 On the stability of the standard Riemann semigroup. Zbl 1026.35073Bianchini, Stefano; Colombo, Rinaldo M. 24 2002 On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 23 2010 Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360Colombo, Rinaldo M.; Rosini, Massimiliano D. 20 2009 Continuous selections of solution sets of Lipschitzean differential inclusions. Zbl 0749.34008Colombo, R. M.; Fryszkowski, A.; Rzežuchowski, T.; Staicu, V. 19 1991 Selective strategies in food webs. Zbl 0807.92025Colombo, Rinaldo M.; Křivan, Vlastimil 18 1993 Differential equations in metric spaces with applications. Zbl 1171.34040Colombo, Rinaldo M.; Guerra, Graziano 18 2009 On general balance laws with boundary. Zbl 1196.35136Colombo, Rinaldo M.; Guerra, Graziano 18 2010 A Hölder continuous ODE related to traffic flow. Zbl 1052.34007Colombo, Rinaldo M.; Marson, Andrea 18 2003 Continuous dependence in conservation laws with phase transitions. Zbl 0977.35085Colombo, Rinaldo M.; Corli, Andrea 18 1999 An age and space structured SIR model describing the covid-19 pandemic. Zbl 1469.92107Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena 17 2020 Euler system for compressible fluids at a junction. Zbl 1168.35029Colombo, Rinaldo M.; Mauri, Cristina 17 2008 Hyperbolic balance laws with a non local source. Zbl 1138.35059Colombo, Rinaldo M.; Guerra, Graziano 16 2007 Decay of positive waves in nonlinear systems of conservation laws. Zbl 0906.35059Bressan, Alberto; Colombo, Rinaldo M. 15 1998 On the control of moving sets: positive and negative confinement results. Zbl 1279.34074Colombo, R. M.; Pogodaev, N. 15 2013 An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208Colombo, Rinaldo M.; Lécureux-Mercier, Magali 14 2012 On the micro-macro limit in traffic flow. Zbl 1295.35314Colombo, R. M.; Rossi, E. 14 2014 Road networks with phase transitions. Zbl 1189.35176Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto 14 2010 Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038Colombo, R. M.; Pogodaev, N. 13 2012 Hyperbolic predators vs. parabolic prey. Zbl 1315.35062Colombo, Rinaldo M.; Rossi, Elena 13 2015 A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209Colombo, Rinaldo M.; Marcellini, Francesca 13 2015 On the role of source terms in continuum traffic flow models. Zbl 1145.35426Bagnerini, Patrizia; Colombo, Rinaldo M.; Corli, Andrea 13 2006 Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S. 12 2007 A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 11 2010 Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Zbl 0910.35078Amadori, Debora; Colombo, Rinaldo M. 11 1998 On the modeling of moving populations through set evolution equations. Zbl 1311.34035Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I. 11 2015 Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245Colombo, Rinaldo M.; Marcellini, Francesca 11 2015 Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202Colombo, Rinaldo M.; Rossi, Elena 11 2015 Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082Colombo, Rinaldo M.; Risebro, Nils H. 11 1998 Minimising stop and go waves to optimise traffic flow. Zbl 1058.49011Colombo, R. M.; Groli, A. 11 2004 On a class of hyperbolic balance laws. Zbl 1066.35055Colombo, Rinaldo M.; Corli, Andrea 11 2004 Nonlocal conservation laws in bounded domains. Zbl 1395.35143Colombo, Rinaldo M.; Rossi, Elena 10 2018 Hyperbolic balance laws with a dissipative non local source. Zbl 1151.35398Colombo, Rinaldo M.; Guerra, Graziano 10 2008 A semilinear structure on semigroups in a metric space. Zbl 1069.47065Colombo, Rinaldo M.; Corli, Andrea 10 2004 Differential equations modeling crowd interactions. Zbl 1327.35244Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne 9 2015 Non-local crowd dynamics. Zbl 1225.35053Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 8 2011 Well posedness and control in a nonlocal SIR model. Zbl 1470.35232Colombo, Rinaldo M.; Garavello, Mauro 8 2021 The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Zbl 1333.35169Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika 8 2016 Characterization of Riemann solvers for the two phase \(p\)-system. Zbl 1030.35117Colombo, Rinaldo M.; Priuli, Fabio S. 7 2003 Optimizing vaccination strategies in an age structured SIR model. Zbl 1470.92185Colombo, Rinaldo M.; Garavello, Mauro 7 2020 Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119Colombo, Rinaldo M.; Schleper, Veronika 7 2012 Non local balance laws in traffic models and crystal growth. Zbl 1117.35321Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D. 7 2007 On the initial boundary value problem for Temple systems. Zbl 1058.35150Colombo, Rinaldo M.; Groli, Alessandro 7 2004 Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results. Zbl 1350.35114Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 7 2016 Modelling the dynamics of granular matter. Zbl 1251.35068Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca 6 2012 Well posedness of balance laws with boundary. Zbl 1079.35061Colombo, Rinaldo M.; Rosini, Massimiliano D. 6 2005 On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 6 2013 Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141Colombo, Rinaldo M.; Marcellini, Francesca 6 2010 Sonic and kinetic phase transitions with applications to Chapman-Jouguet deflagrations. Zbl 1047.35096Colombo, Rinaldo M.; Corli, Andrea 6 2004 On the stability functional for conservation laws. Zbl 1157.35423Colombo, Rinaldo M.; Guerra, Graziano 6 2008 Well posedness for multilane traffic models. Zbl 1138.35361Colombo, Rinaldo M.; Corli, Andrea 6 2006 On the \(p\)-system at a junction. Zbl 1128.35071Colombo, Rinaldo M.; Garavello, Mauro 6 2007 A traffic model aware of real time data. Zbl 1339.35176Colombo, Rinaldo M.; Marcellini, Francesca 6 2016 \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca 5 2010 Phase transitions in hyperbolic conservation laws. Zbl 1060.35523Colombo, Rinaldo M. 5 2003 Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328Colombo, Rinaldo M.; Marcellini, Francesca 5 2010 Stability and optimization in structured population models on graphs. Zbl 1320.92068Colombo, Rinaldo M.; Garavello, Mauro 5 2015 Wave front tracking in systems of conservation laws. Zbl 1099.35063Colombo, Rinaldo M. 5 2004 Sonic hyperbolic phase transitions and Chapman-Jouguet detonations. Zbl 1024.35070Colombo, Rinaldo M.; Corli, Andrea 5 2002 A hyperbolic model for the laser cutting process. Zbl 1426.74245Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F. 5 2013 Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr 5 2006 \(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics. Zbl 1168.35044Calvo, Daniela; Colombo, Rinaldo M.; Frid, Hermano 5 2008 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 5 2008 Modelling crowd movements in domains with boundaries. Zbl 1427.91190Colombo, Rinaldo M.; Rossi, Elena 5 2019 BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139Colombo, Rinaldo M.; Guerra, Graziano 5 2016 Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 4 2010 Control of biological resources on graphs. Zbl 1372.35306Colombo, Rinaldo M.; Garavello, Mauro 4 2017 Initial data identification in conservation laws and Hamilton-Jacobi equations. Zbl 1439.35128Colombo, Rinaldo M.; Perrollaz, Vincent 4 2020 Traffic flow models with phase transitions. Zbl 1134.90012Colombo, Rinaldo M.; Goatin, Paola 4 2006 Stability estimates on general scalar balance laws. Zbl 1160.35473Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D. 4 2009 Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114Colombo, Rinaldo M.; Garavello, Mauro 4 2009 On the optimization of the initial boundary value problem for a conservation law. Zbl 1041.35037Colombo, Rinaldo M.; Groli, Alessandro 4 2004 On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154Colombo, Rinaldo M.; Holden, Helge 4 2016 Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen 3 2012 Stability of the Riemann semigroup with respect to the kinetic condition. Zbl 1071.35082Colombo, Rinaldo M.; Corli, Andrea 3 2004 Phase transition model for traffic at a junction. Zbl 1305.90107Colombo, R. M.; Garavello, M. 3 2014 Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182Colombo, Rinaldo M.; Holden, Helge 3 2016 A modeling framework for biological pest control. Zbl 1470.92392Colombo, Rinaldo M.; Rossi, Elena 3 2020 Special issue: Mathematical modeling with measures. Zbl 1477.00013 3 2020 Conservation laws and Hamilton-Jacobi equations with space inhomogeneity. Zbl 1518.35228Colombo, Rinaldo M.; Perrollaz, Vincent; Sylla, Abraham 3 2023 Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 1 2022 Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846 1 2022 Well posedness and control in a nonlocal SIR model. Zbl 1470.35232Colombo, Rinaldo M.; Garavello, Mauro 8 2021 Well-posedness and control in a hyperbolic-parabolic parasitoid-parasite system. Zbl 1476.35101Colombo, Rinaldo M.; Rossi, Elena 1 2021 An age and space structured SIR model describing the covid-19 pandemic. Zbl 1469.92107Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena 17 2020 Optimizing vaccination strategies in an age structured SIR model. Zbl 1470.92185Colombo, Rinaldo M.; Garavello, Mauro 7 2020 Initial data identification in conservation laws and Hamilton-Jacobi equations. Zbl 1439.35128Colombo, Rinaldo M.; Perrollaz, Vincent 4 2020 A modeling framework for biological pest control. Zbl 1470.92392Colombo, Rinaldo M.; Rossi, Elena 3 2020 Special issue: Mathematical modeling with measures. Zbl 1477.00013 3 2020 Crowd dynamics through conservation laws. Zbl 1471.90051Colombo, Rinaldo M.; Lecureux-Mercier, Magali; Garavello, Mauro 2 2020 On the 1D modeling of fluid flowing through a junction. Zbl 1452.35138Colombo, Rinaldo M.; Garavello, Mauro 2 2020 On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca 1 2020 Modelling crowd movements in domains with boundaries. Zbl 1427.91190Colombo, Rinaldo M.; Rossi, Elena 5 2019 Stability of the 1D IBVP for a non autonomous scalar conservation law. Zbl 1447.35217Colombo, Rinaldo M.; Rossi, Elena 3 2019 Nonlocal conservation laws in bounded domains. Zbl 1395.35143Colombo, Rinaldo M.; Rossi, Elena 10 2018 IBVPs for scalar conservation laws with time discontinuous fluxes. Zbl 1400.35179Colombo, Rinaldo M.; Rossi, Elena 3 2018 A multispecies traffic model based on the Lighthill-Whitham and Richards model. Zbl 1409.35138Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine 2 2018 Optimization in structure population models through the escalator boxcar train. Zbl 1407.65237Colombo, Rinaldo M.; Gwiazda, Piotr; Rosińska, Magdalena 1 2018 Modeling crowd dynamics through hyperbolic-elliptic equations. Zbl 1402.35080Colombo, Rinaldo M.; Gokieli, Maria; Rosini, Massimiliano D. 1 2018 Control of biological resources on graphs. Zbl 1372.35306Colombo, Rinaldo M.; Garavello, Mauro 4 2017 The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Zbl 1333.35169Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika 8 2016 Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results. Zbl 1350.35114Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 7 2016 A traffic model aware of real time data. Zbl 1339.35176Colombo, Rinaldo M.; Marcellini, Francesca 6 2016 BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139Colombo, Rinaldo M.; Guerra, Graziano 5 2016 On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154Colombo, Rinaldo M.; Holden, Helge 4 2016 Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182Colombo, Rinaldo M.; Holden, Helge 3 2016 A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. Zbl 1342.35232Guerra, Graziano; Colombo, Rinaldo M. 3 2016 Characterization of the solutions to ODE-PDE systems. Zbl 1348.35135Colombo, Rinaldo M.; Guerra, Graziano 2 2016 Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola 43 2015 On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia 39 2015 Hyperbolic predators vs. parabolic prey. Zbl 1315.35062Colombo, Rinaldo M.; Rossi, Elena 13 2015 A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209Colombo, Rinaldo M.; Marcellini, Francesca 13 2015 On the modeling of moving populations through set evolution equations. Zbl 1311.34035Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I. 11 2015 Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245Colombo, Rinaldo M.; Marcellini, Francesca 11 2015 Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202Colombo, Rinaldo M.; Rossi, Elena 11 2015 Differential equations modeling crowd interactions. Zbl 1327.35244Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne 9 2015 Stability and optimization in structured population models on graphs. Zbl 1320.92068Colombo, Rinaldo M.; Garavello, Mauro 5 2015 On the micro-macro limit in traffic flow. Zbl 1295.35314Colombo, R. M.; Rossi, E. 14 2014 Phase transition model for traffic at a junction. Zbl 1305.90107Colombo, R. M.; Garavello, M. 3 2014 On the control of moving sets: positive and negative confinement results. Zbl 1279.34074Colombo, R. M.; Pogodaev, N. 15 2013 On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 6 2013 A hyperbolic model for the laser cutting process. Zbl 1426.74245Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F. 5 2013 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 97 2012 Nonlocal crowd dynamics models for several populations. Zbl 1265.35214Colombo, Rinaldo M.; Lécureux-Mercier, Magali 53 2012 Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A. 42 2012 Mixed systems: ODEs-balance laws. Zbl 1252.35193Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 27 2012 An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208Colombo, Rinaldo M.; Lécureux-Mercier, Magali 14 2012 Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038Colombo, R. M.; Pogodaev, N. 13 2012 Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119Colombo, Rinaldo M.; Schleper, Veronika 7 2012 Modelling the dynamics of granular matter. Zbl 1251.35068Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca 6 2012 Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen 3 2012 Control of the continuity equation with a non local flow. Zbl 1232.35176Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali 60 2011 On the modelling and management of traffic. Zbl 1267.90032Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 25 2011 Non-local crowd dynamics. Zbl 1225.35053Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 8 2011 Well posedness and control in models based on conservation laws. Zbl 1248.35120Colombo, Rinaldo M. 2 2011 A 2-phase traffic model based on a speed bound. Zbl 1211.35183Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel 27 2010 On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro 23 2010 On general balance laws with boundary. Zbl 1196.35136Colombo, Rinaldo M.; Guerra, Graziano 18 2010 Road networks with phase transitions. Zbl 1189.35176Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto 14 2010 A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 11 2010 Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141Colombo, Rinaldo M.; Marcellini, Francesca 6 2010 \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca 5 2010 Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328Colombo, Rinaldo M.; Marcellini, Francesca 5 2010 Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. 4 2010 \(L^\infty\) solutions for \(2\times 2\) systems of conservation laws. Zbl 1223.35225Bianchini, S.; Colombo, R. M.; Monti, F. 1 2010 Optimal control in networks of pipes and canals. Zbl 1196.35135Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V. 37 2009 Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D. 26 2009 Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360Colombo, Rinaldo M.; Rosini, Massimiliano D. 20 2009 Differential equations in metric spaces with applications. Zbl 1171.34040Colombo, Rinaldo M.; Guerra, Graziano 18 2009 Stability estimates on general scalar balance laws. Zbl 1160.35473Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D. 4 2009 Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114Colombo, Rinaldo M.; Garavello, Mauro 4 2009 On the continuum modeling of crowds. Zbl 1190.35149Colombo, Rinaldo M.; Facchi, Giancarlo; Maternini, Giulio; Rosini, Massimiliano D. 3 2009 Balance laws as quasidifferential equations in metric spaces. Zbl 1190.35150Colombo, Rinaldo M.; Guerra, Graziano 3 2009 On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399Colombo, Rinaldo M.; Garavello, Mauro 33 2008 On \(2\times2\) conservation laws at a junction. Zbl 1171.35430Colombo, R. M.; Herty, M.; Sachers, V. 32 2008 Euler system for compressible fluids at a junction. Zbl 1168.35029Colombo, Rinaldo M.; Mauri, Cristina 17 2008 Hyperbolic balance laws with a dissipative non local source. Zbl 1151.35398Colombo, Rinaldo M.; Guerra, Graziano 10 2008 On the stability functional for conservation laws. Zbl 1157.35423Colombo, Rinaldo M.; Guerra, Graziano 6 2008 \(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics. Zbl 1168.35044Calvo, Daniela; Colombo, Rinaldo M.; Frid, Hermano 5 2008 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 5 2008 Nonlocal sources in hyperbolic balance laws with applications. Zbl 1140.35517Colombo, R. M.; Guerra, G. 3 2008 Mini-workshop: Hyperbolic aspects of phase transition dynamics. Abstracts from the mini-workshop held February 24 – March 1, 2008. Zbl 1177.35008 1 2008 A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087Colombo, Rinaldo M.; Goatin, Paola 26 2007 Hyperbolic balance laws with a non local source. Zbl 1138.35059Colombo, Rinaldo M.; Guerra, Graziano 16 2007 Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S. 12 2007 Non local balance laws in traffic models and crystal growth. Zbl 1117.35321Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D. 7 2007 On the \(p\)-system at a junction. Zbl 1128.35071Colombo, Rinaldo M.; Garavello, Mauro 6 2007 Well posedness of balance laws with non-characteristic boundary. Zbl 1180.35341Colombo, Rinaldo M.; Rosini, Massimiliano D. 1 2007 On the operator splitting method: nonlinear balance laws and a generalization of Trotter-Kato formulas. Zbl 1123.35028Colombo, Rinaldo M.; Corli, Andrea 1 2007 A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086Colombo, Rinaldo M.; Garavello, Mauro 40 2006 On the role of source terms in continuum traffic flow models. Zbl 1145.35426Bagnerini, Patrizia; Colombo, Rinaldo M.; Corli, Andrea 13 2006 Well posedness for multilane traffic models. Zbl 1138.35361Colombo, Rinaldo M.; Corli, Andrea 6 2006 Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr 5 2006 Traffic flow models with phase transitions. Zbl 1134.90012Colombo, Rinaldo M.; Goatin, Paola 4 2006 Pedestrian flows and non-classical shocks. Zbl 1108.90016Colombo, Rinaldo M.; Rosini, Massimiliano D. 57 2005 Well posedness of balance laws with boundary. Zbl 1079.35061Colombo, Rinaldo M.; Rosini, Massimiliano D. 6 2005 Conservation versus balance laws in traffic flows. Zbl 1137.90392Bagnerini, P.; Colombo, R. M.; Corli, A.; Pedretti, S. 3 2005 Dynamic parameters identification in traffic flow modeling. Zbl 1153.35359Colombo, Rinaldo M.; Corli, Andrea 2 2005 Minimising stop and go waves to optimise traffic flow. Zbl 1058.49011Colombo, R. M.; Groli, A. 11 2004 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 899 Authors 77 Colombo, Rinaldo M. 44 Goatin, Paola 35 Garavello, Mauro 33 Herty, Michael Matthias 30 Piccoli, Benedetto 27 Göttlich, Simone 27 Rosini, Massimiliano Daniele 22 Bressan, Alberto 20 Coclite, Giuseppe Maria 19 Marcellini, Francesca 18 Bürger, Raimund 18 Corli, Andrea 18 Tosin, Andrea 17 Andreianov, Boris 17 Gwiazda, Piotr 16 Guerra, Graziano 16 Keimer, Alexander 16 Rossi, Elena 15 Borsche, Raul 14 Amadori, Debora 14 Gugat, Martin 14 Shen, Wen 13 Klar, Axel 13 Pflug, Lukas 12 Donadello, Carlotta 12 Křivan, Vlastimil 12 Villada, Luis Miguel 10 Chiarello, Felisia Angela 10 Cristiani, Emiliano 10 Pareschi, Lorenzo 9 Lorenz, Thomas 9 Mulet, Pep 9 Schleper, Veronika 9 Spinolo, Laura V. 8 Ancona, Fabio 8 Chalons, Christophe 8 Holden, Helge 8 Leugering, Günter 8 Marciniak-Czochra, Anna K. 8 Pogodaev, Nikolaĭ Il’ich 8 Wolfram, Marie-Therese 8 Zuazua, Enrique 7 Albi, Giacomo 7 Berthelin, Florent 7 Bianchini, Stefano 7 De Nitti, Nicola 7 Delle Monache, Maria Laura 7 Friedrich, Jan 7 Kolb, Oliver 7 Lécureux-Mercier, Magali 7 Risebro, Nils Henrik 7 Rohde, Christian 7 Vauchelet, Nicolas 7 Zanella, Mattia 6 Banda, Mapundi Kondwani 6 Bertaglia, Giulia 6 Carrillo de la Plata, José Antonio 6 Crippa, Gianluca 6 Di Francesco, Marco 6 Di Ruvo, Lorenzo 5 Ackleh, Azmy S. 5 Bellomo, Nicola 5 Briani, Maya 5 Coron, Jean-Michel 5 Degond, Pierre 5 Du, Qiang 5 Fryszkowski, Andrzej 5 Hille, Sander Cornelis 5 Lagoutière, Frédéric 5 LeFloch, Philippe Gerard 5 Malaguti, Luisa 5 Meurer, Anne 5 Razafison, Ulrich 5 Saintier, Nicolas 5 Sylla, Abraham 5 Tiwari, Sudarshan 5 Yu, Lei 4 Bayen, Alexandre M. 4 Bermúdez, Alfredo 4 Caravenna, Laura 4 Chiri, Maria Teresa 4 Colombo, Maria 4 D’Apice, Ciro 4 Dimarco, Giacomo 4 Donat, Rosa 4 Fagioli, Simone 4 Fokken, Eike 4 Gabriel, Pierre 4 James, François 4 Liard, Thibault 4 López, Xián 4 Nguyen, Khai T. 4 Reigstad, Gunhild Allard 4 Ulikowska, Agnieszka 4 Vázquez-Cendón, María Elena 4 Vega, Carlos A. 4 Wang, Zhiqiang 3 Aggarwal, Aekta 3 Aguillon, Nina 3 Amorim, Paulo ...and 799 more Authors all top 5 Cited in 186 Serials 52 Journal of Differential Equations 48 Networks and Heterogeneous Media 40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 28 Journal of Hyperbolic Differential Equations 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Journal of Mathematical Analysis and Applications 21 SIAM Journal on Applied Mathematics 20 Archive for Rational Mechanics and Analysis 18 Journal of Computational Physics 18 SIAM Journal on Mathematical Analysis 15 Mathematical Biosciences and Engineering 14 NoDEA. Nonlinear Differential Equations and Applications 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 SIAM Journal on Control and Optimization 11 Discrete and Continuous Dynamical Systems 10 Applied Mathematical Modelling 10 Nonlinear Analysis. Real World Applications 10 Bulletin of the Brazilian Mathematical Society. New Series 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics and Computation 9 Communications in Partial Differential Equations 8 Discrete and Continuous Dynamical Systems. Series S 7 Automatica 7 Discrete and Continuous Dynamical Systems. Series B 6 Computers & Mathematics with Applications 6 Theoretical Population Biology 6 Mathematical and Computer Modelling 6 Journal of Scientific Computing 6 SIAM Journal on Scientific Computing 6 Kinetic and Related Models 5 Computers and Fluids 5 Journal of Engineering Mathematics 5 Nonlinearity 5 Physica A 5 Proceedings of the American Mathematical Society 5 Chinese Annals of Mathematics. Series B 5 Physica D 5 Applied Mathematics Letters 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Theoretical Biology 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 4 Communications in Mathematical Physics 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Systems & Control Letters 4 Acta Applicandae Mathematicae 4 Applied Numerical Mathematics 4 Numerical Methods for Partial Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Vietnam Journal of Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Statistical Mechanics: Theory and Experiment 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Biology 3 Journal of Statistical Physics 3 Applied Mathematics and Optimization 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 European Journal of Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Living Reviews in Relativity 3 Multiscale Modeling & Simulation 2 Physics Letters. A 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 BIT 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Acta Mathematicae Applicatae Sinica. English Series 2 MCSS. Mathematics of Control, Signals, and Systems 2 Applications of Mathematics 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Computational Optimization and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Mathematical and Computer Modelling of Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 Journal of Evolution Equations 2 Set-Valued and Variational Analysis 2 Mathematical Control and Related Fields 2 Communications in Applied and Industrial Mathematics 2 ISRN Applied Mathematics 2 Evolution Equations and Control Theory 2 Minimax Theory and its Applications 2 Annales Henri Lebesgue 2 SN Partial Differential Equations and Applications 2 Foundations of Data Science 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 International Journal of Control ...and 86 more Serials all top 5 Cited in 37 Fields 580 Partial differential equations (35-XX) 246 Operations research, mathematical programming (90-XX) 209 Fluid mechanics (76-XX) 154 Numerical analysis (65-XX) 95 Biology and other natural sciences (92-XX) 77 Systems theory; control (93-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 53 Ordinary differential equations (34-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Probability theory and stochastic processes (60-XX) 22 Mechanics of deformable solids (74-XX) 17 Integral equations (45-XX) 16 Operator theory (47-XX) 13 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Statistics (62-XX) 7 General topology (54-XX) 7 Optics, electromagnetic theory (78-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.