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Colombo, Rinaldo M.

Author ID: colombo.rinaldo-m Recent zbMATH articles by "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
all top 5

Co-Authors

10 single-authored
30 Garavello, Mauro
21 Guerra, Graziano
18 Rossi, Elena
15 Corli, Andrea
15 Marcellini, Francesca
12 Rosini, Massimiliano Daniele
10 Goatin, Paola
6 Bianchini, Stefano
6 Lécureux-Mercier, Magali
6 Marson, Andrea
6 Perrollaz, Vincent
4 Borsche, Raul
4 Bressan, Alberto
4 Groli, Alessandro
4 Gwiazda, Piotr
4 Herty, Michael Matthias
4 LeFloch, Philippe Gerard
4 Monti, Francesca
4 Pogodaev, Nikolaĭ Il’ich
4 Sylla, Abraham
3 Ancona, Fabio
3 Cellina, Arrigo
3 Holden, Helge
3 Holle, Yannick
3 Mercier, Magali
3 Piccoli, Benedetto
3 Rohde, Christian
3 Schleper, Veronika
2 Amadori, Debora
2 Bagnerini, Patrizia
2 Benzoni-Gavage, Sylvie
2 Karlsen, Kenneth Hvistendahl
2 Lagoutière, Frédéric
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 Giuzzi, Luca
1 Gokieli, Maria
1 Hille, Sander Cornelis
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 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 Communications in Partial Differential Equations
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 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 Differential and Integral Equations
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

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 1,943 times in 937 Documents Cited by Year
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
115
2012
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
68
2011
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
66
2005
Hyperbolic phase transitions in traffic flow. Zbl 1037.35043
Colombo, Rinaldo M.
66
2002
Nonlocal crowd dynamics models for several populations. Zbl 1265.35214
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
64
2012
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
56
2003
Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046
Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola
55
2015
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
55
2015
The semigroup generated by \(2 \times 2\) conservation laws. Zbl 0849.35068
Bressan, Alberto; Colombo, Rinaldo M.
50
1995
A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
44
2006
Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080
Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A.
44
2012
Optimal control in networks of pipes and canals. Zbl 1196.35135
Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V.
43
2009
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
39
2008
On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399
Colombo, Rinaldo M.; Garavello, Mauro
38
2008
A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087
Colombo, Rinaldo M.; Goatin, Paola
36
2007
Continuous dependence for \(2 \times 2\) conservation laws with boundary. Zbl 0884.35091
Amadori, Debora; Colombo, Rinaldo M.
29
1997
A 2-phase traffic model based on a speed bound. Zbl 1211.35183
Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel
29
2010
Mixed systems: ODEs-balance laws. Zbl 1252.35193
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
29
2012
Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
28
2009
Unique solutions of \(2\times 2\) conservation laws with large data. Zbl 0852.35092
Bressan, Alberto; Colombo, Rinaldo M.
26
1995
On the stability of the standard Riemann semigroup. Zbl 1026.35073
Bianchini, Stefano; Colombo, Rinaldo M.
26
2002
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
26
2011
An age and space structured SIR model describing the covid-19 pandemic. Zbl 1469.92107
Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena
26
2020
On general balance laws with boundary. Zbl 1196.35136
Colombo, Rinaldo M.; Guerra, Graziano
24
2010
A \(2\times 2\) hyperbolic traffic flow model. Zbl 0994.90021
Colombo, R. M.
24
2002
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
24
2010
Continuous selections of solution sets of Lipschitzean differential inclusions. Zbl 0749.34008
Colombo, R. M.; Fryszkowski, A.; Rzežuchowski, T.; Staicu, V.
21
1991
A Hölder continuous ODE related to traffic flow. Zbl 1052.34007
Colombo, Rinaldo M.; Marson, Andrea
21
2003
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
20
2008
Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360
Colombo, Rinaldo M.; Rosini, Massimiliano D.
20
2009
Selective strategies in food webs. Zbl 0807.92025
Colombo, Rinaldo M.; Křivan, Vlastimil
19
1993
On the micro-macro limit in traffic flow. Zbl 1295.35314
Colombo, R. M.; Rossi, E.
19
2014
Nonlocal conservation laws in bounded domains. Zbl 1395.35143
Colombo, Rinaldo M.; Rossi, Elena
19
2018
Differential equations in metric spaces with applications. Zbl 1171.34040
Colombo, Rinaldo M.; Guerra, Graziano
18
2009
Continuous dependence in conservation laws with phase transitions. Zbl 0977.35085
Colombo, Rinaldo M.; Corli, Andrea
18
1999
Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202
Colombo, Rinaldo M.; Rossi, Elena
17
2015
On the control of moving sets: positive and negative confinement results. Zbl 1279.34074
Colombo, R. M.; Pogodaev, N.
17
2013
Hyperbolic balance laws with a non local source. Zbl 1138.35059
Colombo, Rinaldo M.; Guerra, Graziano
17
2007
Decay of positive waves in nonlinear systems of conservation laws. Zbl 0906.35059
Bressan, Alberto; Colombo, Rinaldo M.
16
1998
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
16
2010
An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
16
2012
Initial data identification in conservation laws and Hamilton-Jacobi equations. Zbl 1439.35128
Colombo, Rinaldo M.; Perrollaz, Vincent
16
2020
A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209
Colombo, Rinaldo M.; Marcellini, Francesca
14
2015
On the modeling of moving populations through set evolution equations. Zbl 1311.34035
Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I.
14
2015
Hyperbolic predators vs. parabolic prey. Zbl 1315.35062
Colombo, Rinaldo M.; Rossi, Elena
14
2015
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
13
2007
On the role of source terms in continuum traffic flow models. Zbl 1145.35426
Bagnerini, Patrizia; Colombo, Rinaldo M.; Corli, Andrea
13
2006
Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038
Colombo, R. M.; Pogodaev, N.
13
2012
Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082
Colombo, Rinaldo M.; Risebro, Nils H.
12
1998
Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245
Colombo, Rinaldo M.; Marcellini, Francesca
12
2015
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
12
2010
On a class of hyperbolic balance laws. Zbl 1066.35055
Colombo, Rinaldo M.; Corli, Andrea
12
2004
Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Zbl 0910.35078
Amadori, Debora; Colombo, Rinaldo M.
11
1998
Differential equations modeling crowd interactions. Zbl 1327.35244
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne
11
2015
The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Zbl 1333.35169
Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika
11
2016
Minimising stop and go waves to optimise traffic flow. Zbl 1058.49011
Colombo, R. M.; Groli, A.
11
2004
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
Well posedness and control in a nonlocal SIR model. Zbl 1470.35232
Colombo, Rinaldo M.; Garavello, Mauro
9
2021
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
9
2016
Non local balance laws in traffic models and crystal growth. Zbl 1117.35321
Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D.
8
2007
Characterization of Riemann solvers for the two phase \(p\)-system. Zbl 1030.35117
Colombo, Rinaldo M.; Priuli, Fabio S.
8
2003
Well posedness of balance laws with boundary. Zbl 1079.35061
Colombo, Rinaldo M.; Rosini, Massimiliano D.
8
2005
Optimizing vaccination strategies in an age structured SIR model. Zbl 1470.92185
Colombo, Rinaldo M.; Garavello, Mauro
8
2020
A modeling framework for biological pest control. Zbl 1470.92392
Colombo, Rinaldo M.; Rossi, Elena
8
2020
Non-local crowd dynamics. Zbl 1225.35053
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
8
2011
Conservation laws and Hamilton-Jacobi equations with space inhomogeneity. Zbl 1518.35228
Colombo, Rinaldo M.; Perrollaz, Vincent; Sylla, Abraham
8
2023
On the \(p\)-system at a junction. Zbl 1128.35071
Colombo, Rinaldo M.; Garavello, Mauro
7
2007
On the initial boundary value problem for Temple systems. Zbl 1058.35150
Colombo, Rinaldo M.; Groli, Alessandro
7
2004
Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141
Colombo, Rinaldo M.; Marcellini, Francesca
7
2010
Modelling the dynamics of granular matter. Zbl 1251.35068
Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca
7
2012
Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119
Colombo, Rinaldo M.; Schleper, Veronika
7
2012
Stability and optimization in structured population models on graphs. Zbl 1320.92068
Colombo, Rinaldo M.; Garavello, Mauro
7
2015
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
6
2008
Sonic and kinetic phase transitions with applications to Chapman-Jouguet deflagrations. Zbl 1047.35096
Colombo, Rinaldo M.; Corli, Andrea
6
2004
On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
6
2013
A traffic model aware of real time data. Zbl 1339.35176
Colombo, Rinaldo M.; Marcellini, Francesca
6
2016
BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139
Colombo, Rinaldo M.; Guerra, Graziano
6
2016
Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328
Colombo, Rinaldo M.; Marcellini, Francesca
6
2010
Well posedness for multilane traffic models. Zbl 1138.35361
Colombo, Rinaldo M.; Corli, Andrea
6
2006
Modelling crowd movements in domains with boundaries. Zbl 1427.91190
Colombo, Rinaldo M.; Rossi, Elena
6
2019
Sonic hyperbolic phase transitions and Chapman-Jouguet detonations. Zbl 1024.35070
Colombo, Rinaldo M.; Corli, Andrea
5
2002
Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114
Colombo, Rinaldo M.; Garavello, Mauro
5
2009
Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr
5
2006
Phase transitions in hyperbolic conservation laws. Zbl 1060.35523
Colombo, Rinaldo M.
5
2003
Control of biological resources on graphs. Zbl 1372.35306
Colombo, Rinaldo M.; Garavello, Mauro
5
2017
\(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301
Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca
5
2010
Wave front tracking in systems of conservation laws. Zbl 1099.35063
Colombo, Rinaldo M.
5
2004
Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300
5
2008
A hyperbolic model for the laser cutting process. Zbl 1426.74245
Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F.
5
2013
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
4
2016
On the optimization of the initial boundary value problem for a conservation law. Zbl 1041.35037
Colombo, Rinaldo M.; Groli, Alessandro
4
2004
Stability estimates on general scalar balance laws. Zbl 1160.35473
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
4
2009
Special issue: Mathematical modeling with measures. Zbl 1477.00013
4
2020
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
4
2020
Traffic flow models with phase transitions. Zbl 1134.90012
Colombo, Rinaldo M.; Goatin, Paola
4
2006
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
4
2016
Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175
Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen
4
2012
Conservation laws and O.D.E.s. A traffic problem. Zbl 1058.90015
Colombo, Rinaldo M.; Marson, Andrea
4
2003
Conservation laws and Hamilton-Jacobi equations with space inhomogeneity. Zbl 1518.35228
Colombo, Rinaldo M.; Perrollaz, Vincent; Sylla, Abraham
8
2023
General renewal equations motivated by biology and epidemiology. Zbl 1510.35181
Colombo, R. M.; Garavello, M.; Marcellini, F.; Rossi, E.
2
2023
Examples and conjectures on the regularity of solutions to balance laws. Zbl 1517.35134
Ancona, Fabio; Bianchini, Stefano; Bressan, Alberto; Colombo, Rinaldo M.; Nguyen, Khai T.
1
2023
On the coupling of well posed differential models. Zbl 1518.35230
Colombo, R. M.; Garavello, M.; Tandy, M.
1
2023
Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084
Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena
3
2022
Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846
1
2022
Non conservative products in fluid dynamics. Zbl 1508.35064
Colombo, Rinaldo M.; Guerra, Graziano; Holle, Yannick
1
2022
Well posedness and control in a nonlocal SIR model. Zbl 1470.35232
Colombo, Rinaldo M.; Garavello, Mauro
9
2021
Well-posedness and control in a hyperbolic-parabolic parasitoid-parasite system. Zbl 1476.35101
Colombo, Rinaldo M.; Rossi, Elena
2
2021
Well posedness and control in renewal equations with nonlocal boundary conditions. Zbl 1473.35357
Colombo, Rinaldo M.; Garavello, Mauro
1
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
26
2020
Initial data identification in conservation laws and Hamilton-Jacobi equations. Zbl 1439.35128
Colombo, Rinaldo M.; Perrollaz, Vincent
16
2020
Optimizing vaccination strategies in an age structured SIR model. Zbl 1470.92185
Colombo, Rinaldo M.; Garavello, Mauro
8
2020
A modeling framework for biological pest control. Zbl 1470.92392
Colombo, Rinaldo M.; Rossi, Elena
8
2020
Special issue: Mathematical modeling with measures. Zbl 1477.00013
4
2020
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
4
2020
Crowd dynamics through conservation laws. Zbl 1471.90051
Colombo, Rinaldo M.; Lecureux-Mercier, Magali; Garavello, Mauro
2
2020
On the 1D modeling of fluid flowing through a junction. Zbl 1452.35138
Colombo, Rinaldo M.; Garavello, Mauro
2
2020
Modelling crowd movements in domains with boundaries. Zbl 1427.91190
Colombo, Rinaldo M.; Rossi, Elena
6
2019
Stability of the 1D IBVP for a non autonomous scalar conservation law. Zbl 1447.35217
Colombo, Rinaldo M.; Rossi, Elena
4
2019
Hyperbolic consensus games. Zbl 1426.35154
Colombo, Rinaldo M.; Garavello, Mauro
3
2019
Nonlocal conservation laws in bounded domains. Zbl 1395.35143
Colombo, Rinaldo M.; Rossi, Elena
19
2018
A multispecies traffic model based on the Lighthill-Whitham and Richards model. Zbl 1409.35138
Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine
3
2018
IBVPs for scalar conservation laws with time discontinuous fluxes. Zbl 1400.35179
Colombo, Rinaldo M.; Rossi, Elena
3
2018
Modeling crowd dynamics through hyperbolic-elliptic equations. Zbl 1402.35080
Colombo, Rinaldo M.; Gokieli, Maria; Rosini, Massimiliano D.
3
2018
Optimization in structure population models through the escalator boxcar train. Zbl 1407.65237
Colombo, Rinaldo M.; Gwiazda, Piotr; Rosińska, Magdalena
1
2018
Conservation laws with coinciding smooth solutions but different conserved variables. Zbl 1403.35167
Colombo, Rinaldo M.; Guerra, Graziano
1
2018
Control of biological resources on graphs. Zbl 1372.35306
Colombo, Rinaldo M.; Garavello, Mauro
5
2017
Polynomial profits in renewable resources management. Zbl 1405.91490
Colombo, Rinaldo M.; Garavello, Mauro
1
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
11
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
9
2016
A traffic model aware of real time data. Zbl 1339.35176
Colombo, Rinaldo M.; Marcellini, Francesca
6
2016
BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139
Colombo, Rinaldo M.; Guerra, Graziano
6
2016
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
4
2016
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
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
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
55
2015
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
55
2015
Rigorous estimates on balance laws in bounded domains. Zbl 1340.35202
Colombo, Rinaldo M.; Rossi, Elena
17
2015
A mixed ODE-PDE model for vehicular traffic. Zbl 1320.35209
Colombo, Rinaldo M.; Marcellini, Francesca
14
2015
On the modeling of moving populations through set evolution equations. Zbl 1311.34035
Colombo, Rinaldo M.; Lorenz, Thomas; Pogodaev, Nikolay I.
14
2015
Hyperbolic predators vs. parabolic prey. Zbl 1315.35062
Colombo, Rinaldo M.; Rossi, Elena
14
2015
Nonlocal systems of balance laws in several space dimensions with applications to laser technology. Zbl 1327.35245
Colombo, Rinaldo M.; Marcellini, Francesca
12
2015
Differential equations modeling crowd interactions. Zbl 1327.35244
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne
11
2015
Stability and optimization in structured population models on graphs. Zbl 1320.92068
Colombo, Rinaldo M.; Garavello, Mauro
7
2015
On the micro-macro limit in traffic flow. Zbl 1295.35314
Colombo, R. M.; Rossi, E.
19
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.
17
2013
On the interactions between a solid body and a compressible inviscid fluid. Zbl 1286.35159
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
6
2013
A hyperbolic model for the laser cutting process. Zbl 1426.74245
Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F.
5
2013
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
115
2012
Nonlocal crowd dynamics models for several populations. Zbl 1265.35214
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
64
2012
Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080
Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A.
44
2012
Mixed systems: ODEs-balance laws. Zbl 1252.35193
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
29
2012
An analytical framework to describe the interactions between individuals and a continuum. Zbl 1241.35208
Colombo, Rinaldo M.; Lécureux-Mercier, Magali
16
2012
Confinement strategies in a model for the interaction between individuals and a continuum. Zbl 1258.34038
Colombo, R. M.; Pogodaev, N.
13
2012
Modelling the dynamics of granular matter. Zbl 1251.35068
Colombo, Rinaldo M.; Guerra, Graziano; Monti, Francesca
7
2012
Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. Zbl 1254.76119
Colombo, Rinaldo M.; Schleper, Veronika
7
2012
Lipschitz semigroup for an integro-differential equation for slow erosion. Zbl 1250.35175
Colombo, Rinaldo M.; Guerra, Graziano; Shen, Wen
4
2012
A hyperbolic model for granular flow. Zbl 1327.76156
Cattani, Anna; Colombo, Rinaldo M.; Guerra, Graziano
1
2012
Smooth and discontinuous junctions in the \(p\)-system and in the \(3\times 3\) Euler system. Zbl 1260.35135
Colombo, Rinaldo M.; Marcellini, Francesca
1
2012
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
68
2011
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
26
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.
3
2011
A 2-phase traffic model based on a speed bound. Zbl 1211.35183
Colombo, Rinaldo M.; Marcellini, Francesca; Rascle, Michel
29
2010
On general balance laws with boundary. Zbl 1196.35136
Colombo, Rinaldo M.; Guerra, Graziano
24
2010
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. Zbl 1205.35170
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro
24
2010
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
16
2010
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
12
2010
Smooth and discontinuous junctions in the \(p\)-system. Zbl 1421.76141
Colombo, Rinaldo M.; Marcellini, Francesca
7
2010
Coupling conditions for the \(3 \times 3\) Euler system. Zbl 1284.35328
Colombo, Rinaldo M.; Marcellini, Francesca
6
2010
\(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301
Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca
5
2010
Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
3
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.
43
2009
Stability and total variation estimates on general scalar balance laws. Zbl 1183.35197
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
28
2009
Existence of nonclassical solutions in a pedestrian flow model. Zbl 1169.35360
Colombo, Rinaldo M.; Rosini, Massimiliano D.
20
2009
Differential equations in metric spaces with applications. Zbl 1171.34040
Colombo, Rinaldo M.; Guerra, Graziano
18
2009
Comparison among different notions of solution for the \(p\)-system at a junction. Zbl 1188.35114
Colombo, Rinaldo M.; Garavello, Mauro
5
2009
Stability estimates on general scalar balance laws. Zbl 1160.35473
Colombo, Rinaldo M.; Mercier, Magali; Rosini, Massimiliano D.
4
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
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
39
2008
On the Cauchy problem for the \(p\)-system at a junction. Zbl 1155.35399
Colombo, Rinaldo M.; Garavello, Mauro
38
2008
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
20
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
6
2008
Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300
5
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
36
2007
Hyperbolic balance laws with a non local source. Zbl 1138.35059
Colombo, Rinaldo M.; Guerra, Graziano
17
2007
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
13
2007
Non local balance laws in traffic models and crystal growth. Zbl 1117.35321
Colombo, Rinaldo M.; Corli, Andrea; Rosini, Massimiliano D.
8
2007
On the \(p\)-system at a junction. Zbl 1128.35071
Colombo, Rinaldo M.; Garavello, Mauro
7
2007
Well posedness of balance laws with non-characteristic boundary. Zbl 1180.35341
Colombo, Rinaldo M.; Rosini, Massimiliano D.
3
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
...and 37 more Documents
all top 5

Cited by 1,019 Authors

85 Colombo, Rinaldo M.
51 Goatin, Paola
40 Garavello, Mauro
39 Herty, Michael Matthias
33 Göttlich, Simone
31 Piccoli, Benedetto
30 Rosini, Massimiliano Daniele
24 Bressan, Alberto
21 Bürger, Raimund
21 Coclite, Giuseppe Maria
21 Marcellini, Francesca
21 Rossi, Elena
20 Borsche, Raul
20 Keimer, Alexander
19 Andreianov, Boris
19 Corli, Andrea
18 Guerra, Graziano
18 Gwiazda, Piotr
17 Klar, Axel
17 Tosin, Andrea
16 Pflug, Lukas
15 Gugat, Martin
14 Amadori, Debora
14 Chiarello, Felisia Angela
14 Shen, Wen
14 Villada, Luis Miguel
13 Křivan, Vlastimil
12 Donadello, Carlotta
12 Pareschi, Lorenzo
11 Cristiani, Emiliano
11 Friedrich, Jan
10 Ancona, Fabio
10 Holden, Helge
9 Lorenz, Thomas
9 Marciniak-Czochra, Anna K.
9 Mulet, Pep
9 Pogodaev, Nikolaĭ Il’ich
9 Schleper, Veronika
9 Spinolo, Laura V.
9 Zanella, Mattia
8 Albi, Giacomo
8 Chalons, Christophe
8 Delle Monache, Maria Laura
8 Kolb, Oliver
8 Leugering, Günter
8 Risebro, Nils Henrik
8 Rohde, Christian
8 Sylla, Abraham
8 Wolfram, Marie-Therese
8 Zuazua, Enrique
7 Bertaglia, Giulia
7 Bianchini, Stefano
7 Briani, Maya
7 De Nitti, Nicola
7 Du, Qiang
7 Lécureux-Mercier, Magali
7 Vauchelet, Nicolas
6 Banda, Mapundi Kondwani
6 Berthelin, Florent
6 Carrillo de la Plata, José Antonio
6 Crippa, Gianluca
6 Di Francesco, Marco
6 Di Ruvo, Lorenzo
6 Forcadel, Nicolas
6 Malaguti, Luisa
6 Müller, Siegfried
5 Ackleh, Azmy S.
5 Bellomo, Nicola
5 Benyahia, Mohamed
5 Chen, Gui-Qiang G.
5 Chiri, Maria Teresa
5 Coron, Jean-Michel
5 Degond, Pierre
5 Fagioli, Simone
5 Fryszkowski, Andrzej
5 Hille, Sander Cornelis
5 Lagoutière, Frédéric
5 Lambert, Wanderson J.
5 LeFloch, Philippe Gerard
5 Meurer, Anne
5 Perrollaz, Vincent
5 Razafison, Ulrich
5 Saintier, Nicolas
5 Tiwari, Sudarshan
5 Vega, Carlos A.
5 Yu, Lei
4 Abreu, Eduardo
4 Aggarwal, Aekta
4 Bayen, Alexandre M.
4 Bermúdez, Alfredo
4 Caravenna, Laura
4 Cardaliaguet, Pierre
4 Colombo, Maria
4 Dal Santo, Edda
4 Dimarco, Giacomo
4 Donat, Rosa
4 Fokken, Eike
4 Gabriel, Pierre
4 Holle, Yannick
4 Huang, Kuang
...and 919 more Authors
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Cited in 199 Serials

57 Networks and Heterogeneous Media
54 Journal of Differential Equations
46 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
30 Journal of Hyperbolic Differential Equations
26 Journal of Mathematical Analysis and Applications
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 SIAM Journal on Applied Mathematics
21 Archive for Rational Mechanics and Analysis
20 SIAM Journal on Mathematical Analysis
18 Journal of Computational Physics
18 Mathematical Methods in the Applied Sciences
16 NoDEA. Nonlinear Differential Equations and Applications
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Discrete and Continuous Dynamical Systems
15 Mathematical Biosciences and Engineering
13 SIAM Journal on Control and Optimization
11 Applied Mathematical Modelling
10 Communications in Partial Differential Equations
10 Nonlinear Analysis. Real World Applications
10 Bulletin of the Brazilian Mathematical Society. New Series
9 Applied Mathematics and Computation
9 Discrete and Continuous Dynamical Systems. Series S
8 Numerical Methods for Partial Differential Equations
8 Discrete and Continuous Dynamical Systems. Series B
7 Computers & Mathematics with Applications
7 Automatica
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Kinetic and Related Models
6 Nonlinearity
6 Physica A
6 SIAM Journal on Numerical Analysis
6 Theoretical Population Biology
6 Mathematical and Computer Modelling
6 Journal of Scientific Computing
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 SIAM Journal on Scientific Computing
6 Journal of Theoretical Biology
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
5 Computers and Fluids
5 Journal of Engineering Mathematics
5 Applied Mathematics and Optimization
5 Numerische Mathematik
5 Proceedings of the American Mathematical Society
5 Systems & Control Letters
5 Chinese Annals of Mathematics. Series B
5 Physica D
5 Applied Mathematics Letters
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Statistical Mechanics: Theory and Experiment
4 Communications in Mathematical Physics
4 International Journal for Numerical Methods in Fluids
4 Journal of Mathematical Biology
4 Journal of Optimization Theory and Applications
4 Acta Applicandae Mathematicae
4 Applied Numerical Mathematics
4 Journal of Dynamics and Differential Equations
4 Computational and Applied Mathematics
4 Vietnam Journal of Mathematics
4 Annales Henri Lebesgue
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Statistical Physics
3 Physics Letters. A
3 BIT
3 Journal of Computational and Applied Mathematics
3 Quarterly of Applied Mathematics
3 Optimal Control Applications & Methods
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 MCSS. Mathematics of Control, Signals, and Systems
3 European Journal of Applied Mathematics
3 Applications of Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Living Reviews in Relativity
3 Journal of Evolution Equations
3 Multiscale Modeling & Simulation
3 Oberwolfach Reports
3 Evolution Equations and Control Theory
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Nonlinear Science
2 Continuum Mechanics and Thermodynamics
2 Computational Optimization and Applications
2 Advances in Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Mathematical and Computer Modelling of Dynamical Systems
2 Optimization and Engineering
2 Set-Valued and Variational Analysis
2 Mathematical Control and Related Fields
2 Communications in Applied and Industrial Mathematics
2 ISRN Applied Mathematics
2 Journal of Computational Dynamics
...and 99 more Serials
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Cited in 38 Fields

670 Partial differential equations (35-XX)
275 Operations research, mathematical programming (90-XX)
245 Fluid mechanics (76-XX)
190 Numerical analysis (65-XX)
112 Biology and other natural sciences (92-XX)
92 Systems theory; control (93-XX)
87 Calculus of variations and optimal control; optimization (49-XX)
62 Ordinary differential equations (34-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
47 Statistical mechanics, structure of matter (82-XX)
27 Probability theory and stochastic processes (60-XX)
23 Integral equations (45-XX)
23 Mechanics of deformable solids (74-XX)
19 Operator theory (47-XX)
16 Measure and integration (28-XX)
12 Dynamical systems and ergodic theory (37-XX)
9 Real functions (26-XX)
8 Statistics (62-XX)
8 Computer science (68-XX)
7 Functional analysis (46-XX)
7 General topology (54-XX)
7 Mechanics of particles and systems (70-XX)
7 Optics, electromagnetic theory (78-XX)
7 Relativity and gravitational theory (83-XX)
5 Combinatorics (05-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematics education (97-XX)

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