Francesco, Marco Di; Stivaletta, Graziano The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws. (English) Zbl 1517.35130 J. Hyperbolic Differ. Equ. 19, No. 4, 775-807 (2022). MSC: 35L03 35L65 35A24 35A35 35Q70 65N75 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{G. Stivaletta}, J. Hyperbolic Differ. Equ. 19, No. 4, 775--807 (2022; Zbl 1517.35130) Full Text: DOI arXiv
Di Francesco, Marco; Stivaletta, Graziano Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux. (English) Zbl 1430.35155 Discrete Contin. Dyn. Syst. 40, No. 1, 233-266 (2020). MSC: 35L65 35F25 82C22 90B20 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{G. Stivaletta}, Discrete Contin. Dyn. Syst. 40, No. 1, 233--266 (2020; Zbl 1430.35155) Full Text: DOI arXiv
Di Francesco, M.; Fagioli, S.; Rosini, M. D. Deterministic particle approximation of scalar conservation laws. (English) Zbl 1382.35160 Boll. Unione Mat. Ital. 10, No. 3, 487-501 (2017). MSC: 35L65 90B20 35L03 35Q70 PDFBibTeX XMLCite \textit{M. Di Francesco} et al., Boll. Unione Mat. Ital. 10, No. 3, 487--501 (2017; Zbl 1382.35160) Full Text: DOI arXiv
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe Condensation phenomena in nonlinear drift equations. (English) Zbl 1355.35134 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, Spec. Iss., 145-171 (2016). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35B40 35B44 35Q40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, 145--171 (2016; Zbl 1355.35134) Full Text: DOI arXiv
Di Francesco, M.; Rosini, M. D. Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit. (English) Zbl 1329.35196 Arch. Ration. Mech. Anal. 217, No. 3, 831-871 (2015). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35L65 90B20 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{M. D. Rosini}, Arch. Ration. Mech. Anal. 217, No. 3, 831--871 (2015; Zbl 1329.35196) Full Text: DOI arXiv
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese On the Hughes’ model for pedestrian flow: the one-dimensional case. (English) Zbl 1229.35139 J. Differ. Equations 250, No. 3, 1334-1362 (2011). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35D40 92D50 PDFBibTeX XMLCite \textit{M. Di Francesco} et al., J. Differ. Equations 250, No. 3, 1334--1362 (2011; Zbl 1229.35139) Full Text: DOI
di Francesco, Marco; Fellner, Klemens; Liu, Hailiang A nonlocal conservation law with nonlinear “radiation” inhomogeneity. (English) Zbl 1158.35063 J. Hyperbolic Differ. Equ. 5, No. 1, 1-23 (2008). Reviewer: Philippe Laurençot (Toulouse) MSC: 35L65 35B40 35L67 45K05 35F25 35A05 PDFBibTeX XMLCite \textit{M. di Francesco} et al., J. Hyperbolic Differ. Equ. 5, No. 1, 1--23 (2008; Zbl 1158.35063) Full Text: DOI
di Francesco, Marco Initial value problem and relaxation limits of the hamer model for radiating gases in several space variables. (English) Zbl 1132.35061 NoDEA, Nonlinear Differ. Equ. Appl. 13, No. 5-6, 531-562 (2007). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35L65 35B05 35L45 PDFBibTeX XMLCite \textit{M. di Francesco}, NoDEA, Nonlinear Differ. Equ. Appl. 13, No. 5--6, 531--562 (2007; Zbl 1132.35061) Full Text: DOI
Di Francesco, Marco; Lattanzio, Corrado Optimal \(L^{1}\) rate of decay to diffusion waves for the Hamer model of radiating gases. (English) Zbl 1116.35088 Appl. Math. Lett. 19, No. 10, 1046-1052 (2006). MSC: 35L65 35B40 76N15 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{C. Lattanzio}, Appl. Math. Lett. 19, No. 10, 1046--1052 (2006; Zbl 1116.35088) Full Text: DOI