Goatin, Paola; Daini, Chiara; Delle Monache, Maria Laura; Ferrara, Antonella Interacting moving bottlenecks in traffic flow. (English) Zbl 07818906 Netw. Heterog. Media 18, No. 2, 930-945 (2023). MSC: 90B20 PDFBibTeX XMLCite \textit{P. Goatin} et al., Netw. Heterog. Media 18, No. 2, 930--945 (2023; Zbl 07818906) Full Text: DOI
Goatin, Paola Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles. (English) Zbl 1517.35135 Commun. Appl. Ind. Math. 14, No. 1, 1-16 (2023). MSC: 35L65 76A30 82B21 90B20 PDFBibTeX XMLCite \textit{P. Goatin}, Commun. Appl. Ind. Math. 14, No. 1, 1--16 (2023; Zbl 1517.35135) Full Text: DOI
Borsche, R.; Eimer, M.; Garavello, M.; Rossi, E. Analysis of district heating networks. (English) Zbl 1514.35330 Appl. Math. Optim. 87, No. 3, Paper No. 38, 36 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35L35 35M13 35B35 35A24 35A01 35A02 35R02 76B75 93C20 PDFBibTeX XMLCite \textit{R. Borsche} et al., Appl. Math. Optim. 87, No. 3, Paper No. 38, 36 p. (2023; Zbl 1514.35330) Full Text: DOI
Bayen, Alexandre; Friedrich, Jan; Keimer, Alexander; Pflug, Lukas; Veeravalli, Tanya Modeling multilane traffic with moving obstacles by nonlocal balance laws. (English) Zbl 1497.35315 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1495-1538 (2022). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L45 35D30 35L65 35L03 76A30 PDFBibTeX XMLCite \textit{A. Bayen} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1495--1538 (2022; Zbl 1497.35315) Full Text: DOI
Angeles, Gervy Marie; Peralta, Gilbert Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems. (English) Zbl 1486.35044 Evol. Equ. Control Theory 11, No. 1, 199-224 (2022). MSC: 35B40 35L50 47D03 93D20 PDFBibTeX XMLCite \textit{G. M. Angeles} and \textit{G. Peralta}, Evol. Equ. Control Theory 11, No. 1, 199--224 (2022; Zbl 1486.35044) Full Text: DOI
Laurent-Brouty, Nicolas; Costeseque, Guillaume; Goatin, Paola A macroscopic traffic flow model accounting for bounded acceleration. (English) Zbl 1461.35152 SIAM J. Appl. Math. 81, No. 1, 173-189 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{N. Laurent-Brouty} et al., SIAM J. Appl. Math. 81, No. 1, 173--189 (2021; Zbl 1461.35152) Full Text: DOI
Colombo, Rinaldo M.; Lecureux-Mercier, Magali; Garavello, Mauro Crowd dynamics through conservation laws. (English) Zbl 1471.90051 Gibelli, Livio (ed.), Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 83-110 (2020). MSC: 90B20 35L65 91C99 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., in: Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. 83--110 (2020; Zbl 1471.90051) Full Text: DOI
Borsche, R.; Kocoglu, D.; Trenn, S. A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs. (English) Zbl 1458.93117 Math. Control Signals Syst. 32, No. 4, 455-487 (2020). MSC: 93C20 93C30 93C05 PDFBibTeX XMLCite \textit{R. Borsche} et al., Math. Control Signals Syst. 32, No. 4, 455--487 (2020; Zbl 1458.93117) Full Text: DOI
Garavello, Mauro; Goatin, Paola; Liard, Thibault; Piccoli, Benedetto A multiscale model for traffic regulation via autonomous vehicles. (English) Zbl 1439.90025 J. Differ. Equations 269, No. 7, 6088-6124 (2020). MSC: 90B20 35L65 PDFBibTeX XMLCite \textit{M. Garavello} et al., J. Differ. Equations 269, No. 7, 6088--6124 (2020; Zbl 1439.90025) Full Text: DOI arXiv
Pogodaev, N. I. Bang-bang theorem for a coupled ODE-PDE control system. (English. Russian original) Zbl 1429.49010 J. Math. Sci., New York 239, No. 2, 146-158 (2019); translation from Probl. Mat. Anal. 96, 33-42 (2019). Reviewer: Mihail Voicu (Iaşi) MSC: 49J30 49J15 35L65 PDFBibTeX XMLCite \textit{N. I. Pogodaev}, J. Math. Sci., New York 239, No. 2, 146--158 (2019; Zbl 1429.49010); translation from Probl. Mat. Anal. 96, 33--42 (2019) Full Text: DOI
Menci, Marta; Papi, Marco Global solutions for a path-dependent hybrid system of differential equations under parabolic signal. (English) Zbl 1421.34013 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 172-192 (2019). MSC: 34A38 34A12 35K15 PDFBibTeX XMLCite \textit{M. Menci} and \textit{M. Papi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 172--192 (2019; Zbl 1421.34013) Full Text: DOI
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D. Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux. (English. French summary) Zbl 1404.35282 J. Math. Pures Appl. (9) 116, 309-346 (2018). MSC: 35L65 90B20 65M12 76M12 PDFBibTeX XMLCite \textit{B. Andreianov} et al., J. Math. Pures Appl. (9) 116, 309--346 (2018; Zbl 1404.35282) Full Text: DOI HAL
Neusser, J.; Schleper, V. Numerical schemes for the coupling of compressible and incompressible fluids in several space dimensions. (English) Zbl 1411.76092 Appl. Math. Comput. 304, 65-82 (2017). MSC: 76M12 65M08 76T10 PDFBibTeX XMLCite \textit{J. Neusser} and \textit{V. Schleper}, Appl. Math. Comput. 304, 65--82 (2017; Zbl 1411.76092) Full Text: DOI arXiv
Colombo, Rinaldo M.; Guerra, Graziano Uniqueness of the 1D compressible to incompressible limit. (English) Zbl 1382.35213 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 52, 15 p. (2017). MSC: 35Q35 35L65 76N99 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{G. Guerra}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 52, 15 p. (2017; Zbl 1382.35213) Full Text: DOI arXiv
Mišur, Marin; Mitrović, Darko; Novak, Andrej On the Dirichlet-Neumann boundary problem for scalar conservation laws. (English) Zbl 1488.35356 Math. Model. Anal. 21, No. 5, 685-698 (2016). MSC: 35L65 65N99 PDFBibTeX XMLCite \textit{M. Mišur} et al., Math. Model. Anal. 21, No. 5, 685--698 (2016; Zbl 1488.35356) Full Text: DOI
Borsche, Raul; Kall, Jochen High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models. (English) Zbl 1373.35192 J. Comput. Phys. 327, 678-699 (2016). MSC: 35L65 35L40 35R37 PDFBibTeX XMLCite \textit{R. Borsche} and \textit{J. Kall}, J. Comput. Phys. 327, 678--699 (2016; Zbl 1373.35192) Full Text: DOI arXiv
Colombo, Rinaldo M.; Guerra, Graziano Characterization of the solutions to ODE-PDE systems. (English) Zbl 1348.35135 Appl. Math. Lett. 62, 69-75 (2016). MSC: 35L50 35L65 35A02 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{G. Guerra}, Appl. Math. Lett. 62, 69--75 (2016; Zbl 1348.35135) Full Text: DOI
Borsche, Raul Numerical schemes for networks of hyperbolic conservation laws. (English) Zbl 1346.65040 Appl. Numer. Math. 108, 157-170 (2016). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{R. Borsche}, Appl. Numer. Math. 108, 157--170 (2016; Zbl 1346.65040) Full Text: DOI Link
Guerra, Graziano; Schleper, Veronika A coupling between a 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. (English) Zbl 1341.35116 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 381-396 (2016). MSC: 35Q35 35L65 76N99 PDFBibTeX XMLCite \textit{G. Guerra} and \textit{V. Schleper}, Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 381--396 (2016; Zbl 1341.35116) Full Text: DOI
Guerra, Graziano; Colombo, Rinaldo M. A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. (English) Zbl 1342.35232 Netw. Heterog. Media 11, No. 2, 313-330 (2016). MSC: 35Q31 35L65 35Q35 76N99 PDFBibTeX XMLCite \textit{G. Guerra} and \textit{R. M. Colombo}, Netw. Heterog. Media 11, No. 2, 313--330 (2016; Zbl 1342.35232) Full Text: DOI
Colombo, Rinaldo M.; Guerra, Graziano; Schleper, Veronika The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. (English) Zbl 1333.35169 Arch. Ration. Mech. Anal. 219, No. 2, 701-718 (2016). MSC: 35Q31 76N99 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., Arch. Ration. Mech. Anal. 219, No. 2, 701--718 (2016; Zbl 1333.35169) Full Text: DOI arXiv
Borsche, Raul; Colombo, Rinaldo M.; Garavello, Mauro; Meurer, Anne Differential equations modeling crowd interactions. (English) Zbl 1327.35244 J. Nonlinear Sci. 25, No. 4, 827-859 (2015). MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{R. Borsche} et al., J. Nonlinear Sci. 25, No. 4, 827--859 (2015; Zbl 1327.35244) Full Text: DOI arXiv
Evers, Joep H. M.; Hille, Sander C.; Muntean, Adrian Mild solutions to a measure-valued mass evolution problem with flux boundary conditions. (English) Zbl 1315.35057 J. Differ. Equations 259, No. 3, 1068-1097 (2015). MSC: 35F16 45D05 46E27 PDFBibTeX XMLCite \textit{J. H. M. Evers} et al., J. Differ. Equations 259, No. 3, 1068--1097 (2015; Zbl 1315.35057) Full Text: DOI arXiv
Delle Monache, Maria Laura Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints. (English. French summary) Zbl 1401.90057 ESAIM, Proc. Surv. 45, 456-466 (2014). MSC: 90B20 35L65 34A37 34A40 PDFBibTeX XMLCite \textit{M. L. Delle Monache}, ESAIM, Proc. Surv. 45, 456--466 (2014; Zbl 1401.90057) Full Text: DOI
Peralta, Gilbert; Propst, Georg Local well-posedness of a class of hyperbolic PDE-ODE systems on a bounded interval. (English) Zbl 1316.35176 J. Hyperbolic Differ. Equ. 11, No. 4, 705-747 (2014). MSC: 35L50 35F61 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{G. Propst}, J. Hyperbolic Differ. Equ. 11, No. 4, 705--747 (2014; Zbl 1316.35176) Full Text: DOI
Delle Monache, M. L.; Goatin, P. Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result. (English) Zbl 1302.35248 J. Differ. Equations 257, No. 11, 4015-4029 (2014). MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{M. L. Delle Monache} and \textit{P. Goatin}, J. Differ. Equations 257, No. 11, 4015--4029 (2014; Zbl 1302.35248) Full Text: DOI
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto Flows on networks: recent results and perspectives. (English) Zbl 1301.35193 EMS Surv. Math. Sci. 1, No. 1, 47-111 (2014). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 35R02 35L65 34H05 93C20 93C15 93B05 49K15 49K20 PDFBibTeX XMLCite \textit{A. Bressan} et al., EMS Surv. Math. Sci. 1, No. 1, 47--111 (2014; Zbl 1301.35193) Full Text: DOI
Delle Monache, Maria Laura; Goatin, Paola A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow. (English) Zbl 1292.90078 Discrete Contin. Dyn. Syst., Ser. S 7, No. 3, 435-447 (2014). MSC: 90B20 65K05 35L65 65M99 PDFBibTeX XMLCite \textit{M. L. Delle Monache} and \textit{P. Goatin}, Discrete Contin. Dyn. Syst., Ser. S 7, No. 3, 435--447 (2014; Zbl 1292.90078) Full Text: DOI
Colombo, Rinaldo M.; Schleper, Veronika Two-phase flows: non-smooth well posedness and the compressible to incompressible limit. (English) Zbl 1254.76119 Nonlinear Anal., Real World Appl. 13, No. 5, 2195-2213 (2012). MSC: 76N10 35B30 35Q35 76T99 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{V. Schleper}, Nonlinear Anal., Real World Appl. 13, No. 5, 2195--2213 (2012; Zbl 1254.76119) Full Text: DOI