The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Rinaldo M. Colombo , Michael Herty , Magali Mercier
ESAIM: COCV, 17 2 (2011) 353-379
Published online: 2010-03-24
This article has been cited by the following article(s):
82 articles
Marco Inversi and Giorgio Stefani 809 123 (2025) https://doi.org/10.1090/conm/809/16205
An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate
Maria Colombo, Gianluca Crippa, Elio Marconi and Laura V. Spinolo Journées équations aux dérivées partielles 1 (2024) https://doi.org/10.5802/jedp.681
On the accuracy of the finite volume approximations to nonlocal conservation laws
Aekta Aggarwal, Helge Holden and Ganesh Vaidya Numerische Mathematik 156 (1) 237 (2024) https://doi.org/10.1007/s00211-023-01388-2
A non-local traffic flow model for 1-to-1 junctions with buffer
F. A. Chiarello, J. Friedrich and S. Göttlich Networks and Heterogeneous Media 19 (1) 405 (2024) https://doi.org/10.3934/nhm.2024018
Trajectory Stabilization of Nonlocal Continuity Equations by Localized Controls
Nikolay Pogodaev and Francesco Rossi SIAM Journal on Control and Optimization 62 (6) 3315 (2024) https://doi.org/10.1137/24M1644274
Well-posedness and error estimates for coupled systems of nonlocal conservation laws
Aekta Aggarwal, Helge Holden and Ganesh Vaidya IMA Journal of Numerical Analysis 44 (6) 3354 (2024) https://doi.org/10.1093/imanum/drad101
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux
Aekta Aggarwal and Ganesh Vaidya Mathematics of Computation (2024) https://doi.org/10.1090/mcom/3976
On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models
Felisia Angela Chiarello and Alexander Keimer Journal of Mathematical Analysis and Applications 537 (2) 128358 (2024) https://doi.org/10.1016/j.jmaa.2024.128358
Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation
E. A. Kolpakova Mathematical Notes 114 (3-4) 457 (2023) https://doi.org/10.1134/S0001434623090183
A unified non-local damage model for hydraulic fracture in porous media
Hongwei Zhang, Mostafa E. Mobasher, Zhenzhong Shen and Haim Waisman Acta Geotechnica 18 (10) 5083 (2023) https://doi.org/10.1007/s11440-023-01873-w
Alexander Keimer and Lukas Pflug 24 183 (2023) https://doi.org/10.1016/bs.hna.2022.11.001
A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux
Raimund Bürger, Harold Deivi Contreras and Luis Miguel Villada Networks and Heterogeneous Media 18 (2) 664 (2023) https://doi.org/10.3934/nhm.2023029
On the singular limit problem for a discontinuous nonlocal conservation law
Alexander Keimer and Lukas Pflug Nonlinear Analysis 237 113381 (2023) https://doi.org/10.1016/j.na.2023.113381
Позиционные стратегии в игровой задаче управления нелокальным уравнением неразрывности
Ekaterina Alekseevna Kolpakova Математические заметки 114 (4) 525 (2023) https://doi.org/10.4213/mzm13898
Convergence of a second-order scheme for non-local conservation laws
Veerappa Gowda G. D., Sudarshan Kumar Kenettinkara and Nikhil Manoj ESAIM: Mathematical Modelling and Numerical Analysis 57 (6) 3439 (2023) https://doi.org/10.1051/m2an/2023080
General renewal equations motivated by biology and epidemiology
R.M. Colombo, M. Garavello, F. Marcellini and E. Rossi Journal of Differential Equations 354 133 (2023) https://doi.org/10.1016/j.jde.2023.01.012
Kinetic Derivation of Aw–Rascle–Zhang-Type Traffic Models with Driver-Assist Vehicles
Giacomo Dimarco, Andrea Tosin and Mattia Zanella Journal of Statistical Physics 186 (1) (2022) https://doi.org/10.1007/s10955-021-02862-7
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
Alexandre Bayen, Jan Friedrich, Alexander Keimer, Lukas Pflug and Tanya Veeravalli SIAM Journal on Applied Dynamical Systems 21 (2) 1495 (2022) https://doi.org/10.1137/20M1366654
Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations
Carlos Esteve-Yagüe and Enrique Zuazua SIAM Journal on Mathematical Analysis 54 (5) 5388 (2022) https://doi.org/10.1137/22M1469353
Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity
Qiongyuan Li and Peipei Shang European Journal of Control 67 100716 (2022) https://doi.org/10.1016/j.ejcon.2022.100716
Nonlocal balance equations with parameters in the space of signed measures
N. I. Pogodaev and M. V. Staritsyn Sbornik: Mathematics 213 (1) 63 (2022) https://doi.org/10.1070/SM9516
Нелокальные уравнения баланса с параметром в пространстве знакопеременных мер
Nikolai Ilich Pogodaev and Maxim Vladimirovich Staritsyn Математический сборник 213 (1) 69 (2022) https://doi.org/10.4213/sm9516
Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model
Alexandre Bayen, Jean-Michel Coron, Nicola De Nitti, Alexander Keimer and Lukas Pflug Vietnam Journal of Mathematics 49 (3) 957 (2021) https://doi.org/10.1007/s10013-021-00506-7
Wind Forecasting in Railway Engineering
Hui Liu Wind Forecasting in Railway Engineering 69 (2021) https://doi.org/10.1016/B978-0-12-823706-9.00003-X
Local limit of nonlocal traffic models: Convergence results and total variation blow-up
Gianluca Crippa, Elio Marconi, Laura V. Spinolo and Maria Colombo Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38 (5) 1653 (2021) https://doi.org/10.1016/j.anihpc.2020.12.002
Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models
Felisia Angela Chiarello SEMA SIMAI Springer Series, Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models 12 79 (2021) https://doi.org/10.1007/978-3-030-66560-9_5
Well‐posedness and control in a hyperbolic–parabolic parasitoid–parasite system
Rinaldo M. Colombo and Elena Rossi Studies in Applied Mathematics 147 (3) 839 (2021) https://doi.org/10.1111/sapm.12402
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law
Xiaoqian Gong and Matthias Kawski SIAM Journal on Mathematical Analysis 53 (4) 4417 (2021) https://doi.org/10.1137/19M1309109
Modeling of crowds in regions with moving obstacles
Nadezhda Maltugueva and Nikolay Pogodaev Discrete & Continuous Dynamical Systems 41 (11) 5009 (2021) https://doi.org/10.3934/dcds.2021066
Crowd Dynamics, Volume 2
Rinaldo M. Colombo, Magali Lecureux-Mercier and Mauro Garavello Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 83 (2020) https://doi.org/10.1007/978-3-030-50450-2_5
Impulsive control of nonlocal transport equations
Nikolay Pogodaev and Maxim Staritsyn Journal of Differential Equations 269 (4) 3585 (2020) https://doi.org/10.1016/j.jde.2020.03.007
Well-posedness of the non-local conservation law by stochastic perturbation
Christian Olivera manuscripta mathematica 162 (3-4) 367 (2020) https://doi.org/10.1007/s00229-019-01129-6
A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws
N Chatterjee and U S Fjordholm IMA Journal of Numerical Analysis 40 (1) 405 (2020) https://doi.org/10.1093/imanum/dry074
Stability results for the continuity equation
Iasson Karafyllis and Miroslav Krstic Systems & Control Letters 135 104594 (2020) https://doi.org/10.1016/j.sysconle.2019.104594
On approximation of local conservation laws by nonlocal conservation laws
Alexander Keimer and Lukas Pflug Journal of Mathematical Analysis and Applications 475 (2) 1927 (2019) https://doi.org/10.1016/j.jmaa.2019.03.063
Optimal boundary control of a continuum model for a highly re-entrant manufacturing system
Bing Sun and Mi-Xia Wu Transactions of the Institute of Measurement and Control 41 (5) 1373 (2019) https://doi.org/10.1177/0142331218778100
Maximum Principle Satisfying CWENO Schemes for Nonlocal Conservation Laws
Jan Friedrich and Oliver Kolb SIAM Journal on Scientific Computing 41 (2) A973 (2019) https://doi.org/10.1137/18M1175586
Approximate and Exact Controllability of the Continuity Equation with a Localized Vector Field
Michel Duprez, Morgan Morancey and Francesco Rossi SIAM Journal on Control and Optimization 57 (2) 1284 (2019) https://doi.org/10.1137/17M1152917
Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles
Andrea Tosin and Mattia Zanella Multiscale Modeling & Simulation 17 (2) 716 (2019) https://doi.org/10.1137/18M1203766
On the Singular Local Limit for Conservation Laws with Nonlocal Fluxes
Maria Colombo, Gianluca Crippa and Laura V. Spinolo Archive for Rational Mechanics and Analysis 233 (3) 1131 (2019) https://doi.org/10.1007/s00205-019-01375-8
Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system
Jixun Chu, Peipei Shang and Zhiqiang Wang Nonlinear Analysis 189 111577 (2019) https://doi.org/10.1016/j.na.2019.111577
Analysis of a system of nonlocal balance laws with weighted work in progress
Alexander Keimer, Günter Leugering and Tanmay Sarkar Journal of Hyperbolic Differential Equations 15 (03) 375 (2018) https://doi.org/10.1142/S0219891618500145
Nonlocal Conservation Laws in Bounded Domains
Rinaldo M. Colombo and Elena Rossi SIAM Journal on Mathematical Analysis 50 (4) 4041 (2018) https://doi.org/10.1137/18M1171783
Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
Alexander Keimer, Lukas Pflug and Michele Spinola Journal of Mathematical Analysis and Applications 466 (1) 18 (2018) https://doi.org/10.1016/j.jmaa.2018.05.013
High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
Christophe Chalons, Paola Goatin and Luis M. Villada SIAM Journal on Scientific Computing 40 (1) A288 (2018) https://doi.org/10.1137/16M110825X
Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow
Alexander Keimer, Lukas Pflug and Michele Spinola SIAM Journal on Mathematical Analysis 50 (6) 6271 (2018) https://doi.org/10.1137/18M119817X
Optimal Control Problem for a Conveyor-Type Production Line
O. M. Pihnastyi and V. D. Khodusov Cybernetics and Systems Analysis 54 (5) 744 (2018) https://doi.org/10.1007/s10559-018-0076-2
The initial–boundary value problem for general non-local scalar conservation laws in one space dimension
Cristiana De Filippis and Paola Goatin Nonlinear Analysis 161 131 (2017) https://doi.org/10.1016/j.na.2017.05.017
On the global well-posedness of BV weak solutions to the Kuramoto–Sakaguchi equation
Debora Amadori, Seung-Yeal Ha and Jinyeong Park Journal of Differential Equations 262 (2) 978 (2017) https://doi.org/10.1016/j.jde.2016.10.004
Innovative Algorithms and Analysis
Debora Amadori, Seung-Yeal Ha and Jinyeong Park Springer INdAM Series, Innovative Algorithms and Analysis 16 1 (2017) https://doi.org/10.1007/978-3-319-49262-9_1
Existence, uniqueness and regularity results on nonlocal balance laws
Alexander Keimer and Lukas Pflug Journal of Differential Equations 263 (7) 4023 (2017) https://doi.org/10.1016/j.jde.2017.05.015
Global Feedback Stabilization for a Class of Nonlocal Transport Equations: The Continuous and Discrete Case
Wenbin Chen, Chang Liu and Zhiqiang Wang SIAM Journal on Control and Optimization 55 (2) 760 (2017) https://doi.org/10.1137/15M1048914
Performance bounds for the mean-field limit of constrained dynamics
Michael Herty and Mattia Zanella Discrete & Continuous Dynamical Systems - A 37 (4) 2023 (2017) https://doi.org/10.3934/dcds.2017086
Crowd dynamics through non-local conservation laws
Aekta Aggarwal and Paola Goatin Bulletin of the Brazilian Mathematical Society, New Series 47 (1) 37 (2016) https://doi.org/10.1007/s00574-016-0120-7
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
Sheila Scialanga and Paola Goatin Networks and Heterogeneous Media 11 (1) 107 (2016) https://doi.org/10.3934/nhm.2016.11.107
Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results
Elena Rossi, Francesca Marcellini and Rinaldo M. Colombo Networks and Heterogeneous Media 11 (1) 49 (2016) https://doi.org/10.3934/nhm.2016.11.49
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
Sebastien Blandin and Paola Goatin Numerische Mathematik 132 (2) 217 (2016) https://doi.org/10.1007/s00211-015-0717-6
On optimization of a highly re-entrant production system
Rosanna Manzo, Peter I. Kogut and Ciro D'Apice Networks and Heterogeneous Media 11 (3) 415 (2016) https://doi.org/10.3934/nhm.2016003
On the Numerical Integration of Scalar Nonlocal Conservation Laws
Paulo Amorim, Rinaldo M. Colombo and Andreia Teixeira ESAIM: Mathematical Modelling and Numerical Analysis 49 (1) 19 (2015) https://doi.org/10.1051/m2an/2014023
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks
Martin Gugat, Alexander Keimer, Günter Leugering and Zhiqiang Wang Networks & Heterogeneous Media 10 (4) 749 (2015) https://doi.org/10.3934/nhm.2015.10.749
Nonlocal Systems of Conservation Laws in Several Space Dimensions
Aekta Aggarwal, Rinaldo M. Colombo and Paola Goatin SIAM Journal on Numerical Analysis 53 (2) 963 (2015) https://doi.org/10.1137/140975255
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 73 (2014) https://doi.org/10.1007/978-3-319-06620-2_4
Trends in PDE Constrained Optimization
Michael Gröschel, Wolfgang Peukert and Günter Leugering International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 471 (2014) https://doi.org/10.1007/978-3-319-05083-6_30
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 137 (2014) https://doi.org/10.1007/978-3-319-06620-2_6
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 53 (2014) https://doi.org/10.1007/978-3-319-06620-2_3
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 3 (2014) https://doi.org/10.1007/978-3-319-06620-2_1
Hyperbolic Conservation Laws and Related Analysis with Applications
F. Betancourt, R. Bürger, R. Ruiz-Baier, H. Torres and C. A. Vega Springer Proceedings in Mathematics & Statistics, Hyperbolic Conservation Laws and Related Analysis with Applications 49 23 (2014) https://doi.org/10.1007/978-3-642-39007-4_2
Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity
Michael Gröschel, Alexander Keimer, Günter Leugering and Zhiqiang Wang SIAM Journal on Control and Optimization 52 (4) 2141 (2014) https://doi.org/10.1137/120873832
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 29 (2014) https://doi.org/10.1007/978-3-319-06620-2_2
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin MS&A, Multiscale Modeling of Pedestrian Dynamics 12 109 (2014) https://doi.org/10.1007/978-3-319-06620-2_5
Output Feedback Stabilization for a Scalar Conservation Law with a Nonlocal Velocity
Jean-Michel Coron and Zhiqiang Wang SIAM Journal on Mathematical Analysis 45 (5) 2646 (2013) https://doi.org/10.1137/120902203
Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
Gianluca Crippa and Magali Lécureux-Mercier Nonlinear Differential Equations and Applications NoDEA 20 (3) 523 (2013) https://doi.org/10.1007/s00030-012-0164-3
A hyperbolic model for the laser cutting process
R.M. Colombo, G. Guerra, M. Herty and F. Marcellini Applied Mathematical Modelling 37 (14-15) 7810 (2013) https://doi.org/10.1016/j.apm.2013.02.031
An Analytical Framework to Describe the Interactions Between Individuals and a Continuum
Rinaldo M. Colombo and Magali Lécureux-Mercier Journal of Nonlinear Science 22 (1) 39 (2012) https://doi.org/10.1007/s00332-011-9107-0
On a nonlocal hyperbolic conservation law arising from a gradient constraint problem
Paulo Amorim Bulletin of the Brazilian Mathematical Society, New Series 43 (4) 599 (2012) https://doi.org/10.1007/s00574-012-0028-9
Optimal Control of Mean Field Models for Phase Transitions
Sven-Joachim Kimmerle IFAC Proceedings Volumes 45 (2) 1107 (2012) https://doi.org/10.3182/20120215-3-AT-3016.00196
AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW
DEBORA AMADORI and WEN SHEN Journal of Hyperbolic Differential Equations 09 (01) 105 (2012) https://doi.org/10.1142/S0219891612500038
A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
RINALDO M. COLOMBO, MAURO GARAVELLO and MAGALI LÉCUREUX-MERCIER Mathematical Models and Methods in Applied Sciences 22 (04) (2012) https://doi.org/10.1142/S0218202511500230
Nonlocal Crowd Dynamics Models for Several Populations
Rinaldo M. Colombo and Magali Lécureux-Mercier Acta Mathematica Scientia 32 (1) 177 (2012) https://doi.org/10.1016/S0252-9602(12)60011-3
Controllability for a scalar conservation law with nonlocal velocity
Jean-Michel Coron and Zhiqiang Wang Journal of Differential Equations 252 (1) 181 (2012) https://doi.org/10.1016/j.jde.2011.08.042
Non-local crowd dynamics
Rinaldo M. Colombo, Mauro Garavello and Magali Lécureux-Mercier Comptes Rendus. Mathématique 349 (13-14) 769 (2011) https://doi.org/10.1016/j.crma.2011.07.005
Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system
Peipei Shang and Zhiqiang Wang Journal of Differential Equations 250 (2) 949 (2011) https://doi.org/10.1016/j.jde.2010.09.003