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Colombo, Rinaldo M.

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Published as: Colombo, Rinaldo M.; Colombo, R. M.
Homepage: http://rinaldo.unibs.it
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Serials

8 Journal of Differential Equations
6 Networks and Heterogeneous Media
5 Mathematical Methods in the Applied Sciences
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 Quarterly of Applied Mathematics
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 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

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,493 times in 730 Documents Cited by Year
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
87
2012
Hyperbolic phase transitions in traffic flow. Zbl 1037.35043
Colombo, Rinaldo M.
59
2002
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
51
2005
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
51
2011
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
49
2003
Nonlocal crowd dynamics models for several populations. Zbl 1265.35214
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
46
2012
The semigroup generated by \(2 \times 2\) conservation laws. Zbl 0849.35068
Bressan, Alberto; Colombo, Rinaldo M.
44
1995
Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046
Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola
37
2015
Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080
Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A.
37
2012
A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
35
2006
Optimal control in networks of pipes and canals. Zbl 1196.35135
Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V.
34
2009
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
32
2015
On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399
Colombo, Rinaldo M.; Garavello, Mauro
30
2008
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
30
2008
Continuous dependence for \(2 \times 2\) conservation laws with boundary. Zbl 0884.35091
Amadori, Debora; Colombo, Rinaldo M.
26
1997
Mixed systems: ODEs-balance laws. Zbl 1252.35193
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
26
2012
A 2-phase traffic model based on a speed bound. Zbl 1211.35183
Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel
25
2010
Unique solutions of \(2\times 2\) conservation laws with large data. Zbl 0852.35092
Bressan, Alberto; Colombo, Rinaldo M.
24
1995
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
24
2011
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
23
2010
A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087
Colombo, Rinaldo M.; Goatin, Paola
23
2007
Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
22
2009
On the stability of the standard Riemann semigroup. Zbl 1026.35073
Bianchini, Stefano; Colombo, Rinaldo M.
22
2002
A \(2\times 2\) hyperbolic traffic flow model. Zbl 0994.90021
Colombo, R. M.
22
2002
Continuous selections of solution sets of Lipschitzean differential inclusions. Zbl 0749.34008
Colombo, R. M.; Fryszkowski, A.; Rzežuchowski, T.; Staicu, V.
19
1991
Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360
Colombo, Rinaldo M.; Rosini, Massimiliano D.
19
2009
Continuous dependence in conservation laws with phase transitions. Zbl 0977.35085
Colombo, Rinaldo M.; Corli, Andrea
18
1999
Selective strategies in food webs. Zbl 0807.92025
Colombo, Rinaldo M.; Křivan, Vlastimil
17
1993
A Hölder continuous ODE related to traffic flow. Zbl 1052.34007
Colombo, Rinaldo M.; Marson, Andrea
17
2003
Differential equations in metric spaces with applications. Zbl 1171.34040
Colombo, Rinaldo M.; Guerra, Graziano
17
2009
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
16
2008
On general balance laws with boundary. Zbl 1196.35136
Colombo, Rinaldo M.; Guerra, Graziano
16
2010
Hyperbolic balance laws with a non local source. Zbl 1138.35059
Colombo, Rinaldo M.; Guerra, Graziano
16
2007
Decay of positive waves in nonlinear systems of conservation laws. Zbl 0906.35059
Bressan, Alberto; Colombo, Rinaldo M.
14
1998
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
14
2010
An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
14
2012
On the micro-macro limit in traffic flow. Zbl 1295.35314
Colombo, R. M.; Rossi, E.
14
2014
On the role of source terms in continuum traffic flow models. Zbl 1145.35426
Bagnerini, Patrizia; Colombo, Rinaldo M.; Corli, Andrea
13
2006
On the control of moving sets: positive and negative confinement results. Zbl 1279.34074
Colombo, R. M.; Pogodaev, N.
12
2013
Hyperbolic predators vs. parabolic prey. Zbl 1315.35062
Colombo, Rinaldo M.; Rossi, Elena
12
2015
On a class of hyperbolic balance laws. Zbl 1066.35055
Colombo, Rinaldo M.; Corli, Andrea
11
2004
Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038
Colombo, R. M.; Pogodaev, N.
11
2012
Minimising stop and go waves to optimise traffic flow. Zbl 1058.49011
Colombo, R. M.; Groli, A.
11
2004
Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082
Colombo, Rinaldo M.; Risebro, Nils H.
11
1998
Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202
Colombo, Rinaldo M.; Rossi, Elena
11
2015
A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209
Colombo, Rinaldo M.; Marcellini, Francesca
11
2015
Hyperbolic balance laws with a dissipative non local source. Zbl 1151.35398
Colombo, Rinaldo M.; Guerra, Graziano
10
2008
A semilinear structure on semigroups in a metric space. Zbl 1069.47065
Colombo, Rinaldo M.; Corli, Andrea
10
2004
Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Zbl 0910.35078
Amadori, Debora; Colombo, Rinaldo M.
10
1998
Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245
Colombo, Rinaldo M.; Marcellini, Francesca
10
2015
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
10
2007
On the modeling of moving populations through set evolution equations. Zbl 1311.34035
Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I.
10
2015
Nonlocal conservation laws in bounded domains. Zbl 1395.35143
Colombo, Rinaldo M.; Rossi, Elena
9
2018
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
9
2010
Non-local crowd dynamics. Zbl 1225.35053
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
8
2011
The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Zbl 1333.35169
Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika
8
2016
Differential equations modeling crowd interactions. Zbl 1327.35244
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne
8
2015
An age and space structured SIR model describing the covid-19 pandemic. Zbl 1469.92107
Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena
7
2020
Characterization of Riemann solvers for the two phase \(p\)-system. Zbl 1030.35117
Colombo, Rinaldo M.; Priuli, Fabio S.
7
2003
Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119
Colombo, Rinaldo M.; Schleper, Veronika
7
2012
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results. Zbl 1350.35114
Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena
7
2016
On the stability functional for conservation laws. Zbl 1157.35423
Colombo, Rinaldo M.; Guerra, Graziano
6
2008
Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141
Colombo, Rinaldo M.; Marcellini, Francesca
6
2010
Sonic and kinetic phase transitions with applications to Chapman-Jouguet deflagrations. Zbl 1047.35096
Colombo, Rinaldo M.; Corli, Andrea
6
2004
Non local balance laws in traffic models and crystal growth. Zbl 1117.35321
Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D.
6
2007
Modelling the dynamics of granular matter. Zbl 1251.35068
Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca
6
2012
Phase transitions in hyperbolic conservation laws. Zbl 1060.35523
Colombo, Rinaldo M.
5
2003
On the initial boundary value problem for Temple systems. Zbl 1058.35150
Colombo, Rinaldo M.; Groli, Alessandro
5
2004
Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328
Colombo, Rinaldo M.; Marcellini, Francesca
5
2010
A traffic model aware of real time data. Zbl 1339.35176
Colombo, Rinaldo M.; Marcellini, Francesca
5
2016
On the \(p\)-system at a junction. Zbl 1128.35071
Colombo, Rinaldo M.; Garavello, Mauro
5
2007
Well posedness for multilane traffic models. Zbl 1138.35361
Colombo, Rinaldo M.; Corli, Andrea
5
2006
Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr
5
2006
Stability and optimization in structured population models on graphs. Zbl 1320.92068
Colombo, Rinaldo M.; Garavello, Mauro
5
2015
On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
5
2013
Sonic hyperbolic phase transitions and Chapman-Jouguet detonations. Zbl 1024.35070
Colombo, Rinaldo M.; Corli, Andrea
5
2002
Wave front tracking in systems of conservation laws. Zbl 1099.35063
Colombo, Rinaldo M.
5
2004
Well posedness of balance laws with boundary. Zbl 1079.35061
Colombo, Rinaldo M.; Rosini, Massimiliano D.
4
2005
Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
4
2010
\(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301
Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca
4
2010
\(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics. Zbl 1168.35044
Calvo, Daniela; Colombo, Rinaldo M.; Frid, Hermano
4
2008
BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139
Colombo, Rinaldo M.; Guerra, Graziano
4
2016
Traffic flow models with phase transitions. Zbl 1134.90012
Colombo, Rinaldo M.; Goatin, Paola
4
2006
Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300
4
2008
A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. Zbl 1342.35232
Guerra, Graziano; Colombo, Rinaldo M.
3
2016
Stability of the Riemann semigroup with respect to the kinetic condition. Zbl 1071.35082
Colombo, Rinaldo M.; Corli, Andrea
3
2004
On the continuum modeling of crowds. Zbl 1190.35149
Colombo, Rinaldo M.; Facchi, Giancarlo; Maternini, Giulio; Rosini, Massimiliano D.
3
2009
Balance laws as quasidifferential equations in metric spaces. Zbl 1190.35150
Colombo, Rinaldo M.; Guerra, Graziano
3
2009
On the optimization of a conservation law. Zbl 1352.35079
Colombo, Rinaldo M.; Groli, Alessandro
3
2004
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
3
2016
Nonlocal sources in hyperbolic balance laws with applications. Zbl 1140.35517
Colombo, R. M.; Guerra, G.
3
2008
Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175
Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen
3
2012
Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114
Colombo, Rinaldo M.; Garavello, Mauro
3
2009
IBVPs for scalar conservation laws with time discontinuous fluxes. Zbl 1400.35179
Colombo, Rinaldo M.; Rossi, Elena
3
2018
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
3
2016
Control of biological resources on graphs. Zbl 1372.35306
Colombo, Rinaldo M.; Garavello, Mauro
3
2017
Phase transition model for traffic at a junction. Zbl 1305.90107
Colombo, R. M.; Garavello, M.
3
2014
Conservation versus balance laws in traffic flows. Zbl 1137.90392
Bagnerini, P.; Colombo, R. M.; Corli, A.; Pedretti, S.
3
2005
Modelling crowd movements in domains with boundaries. Zbl 1427.91190
Colombo, Rinaldo M.; Rossi, Elena
3
2019
Well posedness and control in a nonlocal SIR model. Zbl 1470.35232
Colombo, Rinaldo M.; Garavello, Mauro
2
2021
Well posedness and control in a nonlocal SIR model. Zbl 1470.35232
Colombo, Rinaldo M.; Garavello, Mauro
2
2021
An age and space structured SIR model describing the covid-19 pandemic. Zbl 1469.92107
Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena
7
2020
A modeling framework for biological pest control. Zbl 1470.92392
Colombo, Rinaldo M.; Rossi, Elena
2
2020
Optimizing vaccination strategies in an age structured SIR model. Zbl 1470.92185
Colombo, Rinaldo M.; Garavello, Mauro
1
2020
Special issue: Mathematical modeling with measures. Zbl 1477.00013
1
2020
Initial data identification in conservation laws and Hamilton-Jacobi equations. Zbl 1439.35128
Colombo, Rinaldo M.; Perrollaz, Vincent
1
2020
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
1
2020
On the 1D modeling of fluid flowing through a junction. Zbl 1452.35138
Colombo, Rinaldo M.; Garavello, Mauro
1
2020
Modelling crowd movements in domains with boundaries. Zbl 1427.91190
Colombo, Rinaldo M.; Rossi, Elena
3
2019
Nonlocal conservation laws in bounded domains. Zbl 1395.35143
Colombo, Rinaldo M.; Rossi, Elena
9
2018
IBVPs for scalar conservation laws with time discontinuous fluxes. Zbl 1400.35179
Colombo, Rinaldo M.; Rossi, Elena
3
2018
A multispecies traffic model based on the Lighthill-Whitham and Richards model. Zbl 1409.35138
Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine
2
2018
Optimization in structure population models through the escalator boxcar train. Zbl 1407.65237
Colombo, Rinaldo M.; Gwiazda, Piotr; Rosińska, Magdalena
1
2018
Control of biological resources on graphs. Zbl 1372.35306
Colombo, Rinaldo M.; Garavello, Mauro
3
2017
The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Zbl 1333.35169
Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika
8
2016
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results. Zbl 1350.35114
Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena
7
2016
A traffic model aware of real time data. Zbl 1339.35176
Colombo, Rinaldo M.; Marcellini, Francesca
5
2016
BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139
Colombo, Rinaldo M.; Guerra, Graziano
4
2016
A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. Zbl 1342.35232
Guerra, Graziano; Colombo, Rinaldo M.
3
2016
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
3
2016
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
3
2016
Characterization of the solutions to ODE-PDE systems. Zbl 1348.35135
Colombo, Rinaldo M.; Guerra, Graziano
2
2016
Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046
Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola
37
2015
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
32
2015
Hyperbolic predators vs. parabolic prey. Zbl 1315.35062
Colombo, Rinaldo M.; Rossi, Elena
12
2015
Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202
Colombo, Rinaldo M.; Rossi, Elena
11
2015
A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209
Colombo, Rinaldo M.; Marcellini, Francesca
11
2015
Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245
Colombo, Rinaldo M.; Marcellini, Francesca
10
2015
On the modeling of moving populations through set evolution equations. Zbl 1311.34035
Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I.
10
2015
Differential equations modeling crowd interactions. Zbl 1327.35244
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne
8
2015
Stability and optimization in structured population models on graphs. Zbl 1320.92068
Colombo, Rinaldo M.; Garavello, Mauro
5
2015
On the micro-macro limit in traffic flow. Zbl 1295.35314
Colombo, R. M.; Rossi, E.
14
2014
Phase transition model for traffic at a junction. Zbl 1305.90107
Colombo, R. M.; Garavello, M.
3
2014
On the control of moving sets: positive and negative confinement results. Zbl 1279.34074
Colombo, R. M.; Pogodaev, N.
12
2013
On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
5
2013
A hyperbolic model for the laser cutting process. Zbl 1426.74245
Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F.
2
2013
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
87
2012
Nonlocal crowd dynamics models for several populations. Zbl 1265.35214
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
46
2012
Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080
Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A.
37
2012
Mixed systems: ODEs-balance laws. Zbl 1252.35193
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
26
2012
An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
14
2012
Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038
Colombo, R. M.; Pogodaev, N.
11
2012
Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119
Colombo, Rinaldo M.; Schleper, Veronika
7
2012
Modelling the dynamics of granular matter. Zbl 1251.35068
Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca
6
2012
Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175
Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen
3
2012
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
51
2011
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
24
2011
Non-local crowd dynamics. Zbl 1225.35053
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
8
2011
Well posedness and control in models based on conservation laws. Zbl 1248.35120
Colombo, Rinaldo M.
2
2011
A 2-phase traffic model based on a speed bound. Zbl 1211.35183
Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel
25
2010
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
23
2010
On general balance laws with boundary. Zbl 1196.35136
Colombo, Rinaldo M.; Guerra, Graziano
16
2010
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
14
2010
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
9
2010
Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141
Colombo, Rinaldo M.; Marcellini, Francesca
6
2010
Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328
Colombo, Rinaldo M.; Marcellini, Francesca
5
2010
Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
4
2010
\(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301
Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca
4
2010
\(L^\infty\) solutions for \(2\times 2\) systems of conservation laws. Zbl 1223.35225
Bianchini, S.; Colombo, R. M.; Monti, F.
1
2010
Optimal control in networks of pipes and canals. Zbl 1196.35135
Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V.
34
2009
Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
22
2009
Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360
Colombo, Rinaldo M.; Rosini, Massimiliano D.
19
2009
Differential equations in metric spaces with applications. Zbl 1171.34040
Colombo, Rinaldo M.; Guerra, Graziano
17
2009
On the continuum modeling of crowds. Zbl 1190.35149
Colombo, Rinaldo M.; Facchi, Giancarlo; Maternini, Giulio; Rosini, Massimiliano D.
3
2009
Balance laws as quasidifferential equations in metric spaces. Zbl 1190.35150
Colombo, Rinaldo M.; Guerra, Graziano
3
2009
Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114
Colombo, Rinaldo M.; Garavello, Mauro
3
2009
Stability estimates on general scalar balance laws. Zbl 1160.35473
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
2
2009
On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399
Colombo, Rinaldo M.; Garavello, Mauro
30
2008
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
30
2008
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
16
2008
Hyperbolic balance laws with a dissipative non local source. Zbl 1151.35398
Colombo, Rinaldo M.; Guerra, Graziano
10
2008
On the stability functional for conservation laws. Zbl 1157.35423
Colombo, Rinaldo M.; Guerra, Graziano
6
2008
\(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics. Zbl 1168.35044
Calvo, Daniela; Colombo, Rinaldo M.; Frid, Hermano
4
2008
Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300
4
2008
Nonlocal sources in hyperbolic balance laws with applications. Zbl 1140.35517
Colombo, 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 1116.35087
Colombo, Rinaldo M.; Goatin, Paola
23
2007
Hyperbolic balance laws with a non local source. Zbl 1138.35059
Colombo, Rinaldo M.; Guerra, Graziano
16
2007
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
10
2007
Non local balance laws in traffic models and crystal growth. Zbl 1117.35321
Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D.
6
2007
On the \(p\)-system at a junction. Zbl 1128.35071
Colombo, Rinaldo M.; Garavello, Mauro
5
2007
On the operator splitting method: nonlinear balance laws and a generalization of Trotter-Kato formulas. Zbl 1123.35028
Colombo, Rinaldo M.; Corli, Andrea
1
2007
Well posedness of balance laws with non-characteristic boundary. Zbl 1180.35341
Colombo, Rinaldo M.; Rosini, Massimiliano D.
1
2007
A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
35
2006
On the role of source terms in continuum traffic flow models. Zbl 1145.35426
Bagnerini, Patrizia; Colombo, Rinaldo M.; Corli, Andrea
13
2006
Well posedness for multilane traffic models. Zbl 1138.35361
Colombo, Rinaldo M.; Corli, Andrea
5
2006
Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr
5
2006
Traffic flow models with phase transitions. Zbl 1134.90012
Colombo, Rinaldo M.; Goatin, Paola
4
2006
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
51
2005
Well posedness of balance laws with boundary. Zbl 1079.35061
Colombo, Rinaldo M.; Rosini, Massimiliano D.
4
2005
Conservation versus balance laws in traffic flows. Zbl 1137.90392
Bagnerini, P.; Colombo, R. M.; Corli, A.; Pedretti, S.
3
2005
Dynamic parameters identification in traffic flow modeling. Zbl 1153.35359
Colombo, Rinaldo M.; Corli, Andrea
2
2005
On a class of hyperbolic balance laws. Zbl 1066.35055
Colombo, Rinaldo M.; Corli, Andrea
11
2004
Minimising stop and go waves to optimise traffic flow. Zbl 1058.49011
Colombo, R. M.; Groli, A.
11
2004
A semilinear structure on semigroups in a metric space. Zbl 1069.47065
Colombo, Rinaldo M.; Corli, Andrea
10
2004
Sonic and kinetic phase transitions with applications to Chapman-Jouguet deflagrations. Zbl 1047.35096
Colombo, Rinaldo M.; Corli, Andrea
6
2004
On the initial boundary value problem for Temple systems. Zbl 1058.35150
Colombo, Rinaldo M.; Groli, Alessandro
5
2004
Wave front tracking in systems of conservation laws. Zbl 1099.35063
Colombo, Rinaldo M.
5
2004
Stability of the Riemann semigroup with respect to the kinetic condition. Zbl 1071.35082
Colombo, Rinaldo M.; Corli, Andrea
3
2004
On the optimization of a conservation law. Zbl 1352.35079
Colombo, Rinaldo M.; Groli, Alessandro
3
2004
...and 20 more Documents
all top 5

Cited by 802 Authors

72 Colombo, Rinaldo M.
39 Goatin, Paola
32 Garavello, Mauro
29 Herty, Michael Matthias
25 Piccoli, Benedetto
25 Rosini, Massimiliano Daniele
23 Göttlich, Simone
18 Bressan, Alberto
17 Bürger, Raimund
17 Marcellini, Francesca
17 Tosin, Andrea
16 Andreianov, Boris
16 Coclite, Giuseppe Maria
16 Corli, Andrea
16 Guerra, Graziano
16 Gwiazda, Piotr
15 Borsche, Raul
14 Rossi, Elena
13 Amadori, Debora
13 Gugat, Martin
13 Shen, Wen
12 Donadello, Carlotta
12 Keimer, Alexander
12 Křivan, Vlastimil
11 Klar, Axel
11 Villada, Luis Miguel
9 Mulet, Pep
9 Pflug, Lukas
9 Schleper, Veronika
8 Chalons, Christophe
8 Chiarello, Felisia Angela
8 Cristiani, Emiliano
8 Holden, Helge
8 Lorenz, Thomas
8 Spinolo, Laura V.
8 Wolfram, Marie-Therese
7 Ancona, Fabio
7 Delle Monache, Maria Laura
7 Lécureux-Mercier, Magali
7 Marciniak-Czochra, Anna K.
7 Risebro, Nils Henrik
7 Rohde, Christian
7 Vauchelet, Nicolas
6 Bianchini, Stefano
6 Carrillo de la Plata, José Antonio
6 Di Francesco, Marco
6 Kolb, Oliver
5 Ackleh, Azmy S.
5 Banda, Mapundi Kondwani
5 Berthelin, Florent
5 Crippa, Gianluca
5 Degond, Pierre
5 Di Ruvo, Lorenzo
5 Friedrich, Jan
5 Fryszkowski, Andrzej
5 Lagoutière, Frédéric
5 LeFloch, Philippe Gerard
5 Leugering, Günter
5 Pareschi, Lorenzo
5 Pogodaev, Nikolaĭ Il’ich
5 Saintier, Nicolas
5 Zanella, Mattia
4 Albi, Giacomo
4 Bellomo, Nicola
4 Bermúdez, Alfredo
4 Briani, Maya
4 Caravenna, Laura
4 Coron, Jean-Michel
4 D’Apice, Ciro
4 Donat, Rosa
4 Du, Qiang
4 Fagioli, Simone
4 Gabriel, Pierre
4 Hille, Sander Cornelis
4 James, François
4 López, Xián
4 Malaguti, Luisa
4 Meurer, Anne
4 Razafison, Ulrich
4 Sylla, Abraham
4 Tiwari, Sudarshan
4 Ulikowska, Agnieszka
4 Vázquez-Cendón, María Elena
4 Yu, Lei
3 Aggarwal, Aekta
3 Amorim, Paulo
3 Bayen, Alexandre M.
3 Benyahia, Mohamed
3 Blandin, Sébastien
3 Bretti, Gabriella
3 Cancès, Clément
3 Cernea, Aurelian
3 Chen, Geng
3 Chen, Gui-Qiang G.
3 Chiri, Maria Teresa
3 Chowell, Gerardo
3 Colombo, Maria
3 Costeseque, Guillaume
3 Dal Santo, Edda
3 De Nitti, Nicola
...and 702 more Authors
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Cited in 177 Serials

47 Journal of Differential Equations
43 Networks and Heterogeneous Media
37 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
26 Journal of Hyperbolic Differential Equations
22 Journal of Mathematical Analysis and Applications
21 SIAM Journal on Applied Mathematics
19 Archive for Rational Mechanics and Analysis
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Computational Physics
15 SIAM Journal on Mathematical Analysis
14 NoDEA. Nonlinear Differential Equations and Applications
13 Mathematical Biosciences and Engineering
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 SIAM Journal on Control and Optimization
10 Discrete and Continuous Dynamical Systems
10 Bulletin of the Brazilian Mathematical Society. New Series
9 Mathematical Methods in the Applied Sciences
9 Communications in Partial Differential Equations
8 Applied Mathematical Modelling
8 Discrete and Continuous Dynamical Systems. Series S
7 Applied Mathematics and Computation
7 Nonlinear Analysis. Real World Applications
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 Physica A
5 Automatica
5 Proceedings of the American Mathematical Society
5 Chinese Annals of Mathematics. Series B
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 Journal of Engineering Mathematics
4 Nonlinearity
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 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Journal of Computational and Applied Mathematics
3 Physica D
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Mathematical Problems in Engineering
3 Vietnam Journal of Mathematics
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Living Reviews in Relativity
3 Multiscale Modeling & Simulation
3 Journal of Statistical Mechanics: Theory and Experiment
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Optimization
2 BIT
2 Journal of Optimization Theory and Applications
2 Quarterly of Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Acta Mathematicae Applicatae Sinica. English Series
2 MCSS. Mathematics of Control, Signals, and Systems
2 Applications of Mathematics
2 Journal of Dynamics and Differential Equations
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 Optimization and Engineering
2 Set-Valued and Variational Analysis
2 Mathematical Control and Related Fields
2 ISRN Applied Mathematics
2 Minimax Theory and its Applications
2 Annales Henri Lebesgue
1 International Journal of Modern Physics B
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Physics Letters. A
1 Bulletin of Mathematical Biology
1 Advances in Mathematics
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Calcolo
...and 77 more Serials
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Cited in 41 Fields

521 Partial differential equations (35-XX)
224 Operations research, mathematical programming (90-XX)
185 Fluid mechanics (76-XX)
142 Numerical analysis (65-XX)
77 Biology and other natural sciences (92-XX)
65 Systems theory; control (93-XX)
63 Calculus of variations and optimal control; optimization (49-XX)
47 Ordinary differential equations (34-XX)
38 Statistical mechanics, structure of matter (82-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Probability theory and stochastic processes (60-XX)
21 Mechanics of deformable solids (74-XX)
17 Integral equations (45-XX)
15 Operator theory (47-XX)
12 Measure and integration (28-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 General topology (54-XX)
6 Statistics (62-XX)
6 Mechanics of particles and systems (70-XX)
6 Optics, electromagnetic theory (78-XX)
5 Real functions (26-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Relativity and gravitational theory (83-XX)
4 Functional analysis (46-XX)
4 Computer science (68-XX)
3 Combinatorics (05-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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