Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V. Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate. (English) Zbl 1510.35178 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 18, 32 p. (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L45 35L60 35R09 76A30 PDFBibTeX XMLCite \textit{M. Colombo} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 18, 32 p. (2023; Zbl 1510.35178) Full Text: DOI arXiv
Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V. An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate. arXiv:2311.14528 Preprint, arXiv:2311.14528 [math.AP] (2023). MSC: 35L65 BibTeX Cite \textit{M. Colombo} et al., ``An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate'', Preprint, arXiv:2311.14528 [math.AP] (2023) Full Text: arXiv OA License
Coclite, Giuseppe Maria; Colombo, Maria; Crippa, Gianluca; De Nitti, Nicola; Keimer, Alexander; Marconi, Elio; Pflug, Lukas; Spinolo, Laura V. Oleĭnik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit. arXiv:2304.01309 Preprint, arXiv:2304.01309 [math.AP] (2023). BibTeX Cite \textit{G. M. Coclite} et al., ``Ole\u{\i}nik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit'', Preprint, arXiv:2304.01309 [math.AP] (2023) Full Text: arXiv OA License
Colombo, Maria; Crippa, Gianluca; Graff, Marie; Spinolo, Laura V. On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws. (English) Zbl 07477259 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2705-2723 (2021). MSC: 65-XX 35L65 65M12 PDFBibTeX XMLCite \textit{M. Colombo} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2705--2723 (2021; Zbl 07477259) Full Text: DOI arXiv
Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V. Local limit of nonlocal traffic models: convergence results and total variation blow-up. (English) Zbl 1473.35360 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1653-1666 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35L45 35R09 76A30 PDFBibTeX XMLCite \textit{M. Colombo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1653--1666 (2021; Zbl 1473.35360) Full Text: DOI arXiv
Colombo, Maria; Crippa, Gianluca; Graff, Marie; Spinolo, Laura V. Recent results on the singular local limit for nonlocal conservation laws. (English) Zbl 1459.35284 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 369-376 (2020). MSC: 35L65 65M08 PDFBibTeX XMLCite \textit{M. Colombo} et al., AIMS Ser. Appl. Math. 10, 369--376 (2020; Zbl 1459.35284) Full Text: arXiv
Colombo, Maria; Crippa, Gianluca; Spinolo, Laura V. On the singular local limit for conservation laws with nonlocal fluxes. (English) Zbl 1415.35188 Arch. Ration. Mech. Anal. 233, No. 3, 1131-1167 (2019). MSC: 35L65 PDFBibTeX XMLCite \textit{M. Colombo} et al., Arch. Ration. Mech. Anal. 233, No. 3, 1131--1167 (2019; Zbl 1415.35188) Full Text: DOI arXiv Link
Choudhury, Anupam Pal; Crippa, Gianluca; Spinolo, Laura V. Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system. (English) Zbl 1382.35074 Z. Angew. Math. Phys. 68, No. 6, Paper No. 138, 21 p. (2017). MSC: 35F16 35L65 35A01 PDFBibTeX XMLCite \textit{A. P. Choudhury} et al., Z. Angew. Math. Phys. 68, No. 6, Paper No. 138, 21 p. (2017; Zbl 1382.35074) Full Text: DOI arXiv Link
Bianchini, Stefano; Colombo, Maria; Crippa, Gianluca; Spinolo, Laura V. Optimality of integrability estimates for advection-diffusion equations. (English) Zbl 1373.35155 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 33, 19 p. (2017). MSC: 35K10 35B45 35R05 58J35 PDFBibTeX XMLCite \textit{S. Bianchini} et al., NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 33, 19 p. (2017; Zbl 1373.35155) Full Text: DOI arXiv
Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura V. Initial-boundary value problems for continuity equations with BV coefficients. (English) Zbl 1292.35092 J. Math. Pures Appl. (9) 102, No. 1, 79-98 (2014). MSC: 35F16 35R05 35A02 PDFBibTeX XMLCite \textit{G. Crippa} et al., J. Math. Pures Appl. (9) 102, No. 1, 79--98 (2014; Zbl 1292.35092) Full Text: DOI arXiv
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. Existence and uniqueness results for the continuity equation and applications to the chromatography system. (English) Zbl 1248.35119 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 195-204 (2011). MSC: 35L65 35F10 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., IMA Vol. Math. Appl. 153, 195--204 (2011; Zbl 1248.35119) Full Text: DOI
Crippa, Gianluca; Spinolo, Laura V. An overview on some results concerning the transport equation and its applications to conservation laws. (English) Zbl 1205.35043 Commun. Pure Appl. Anal. 9, No. 5, 1283-1293 (2010). MSC: 35F10 35L65 PDFBibTeX XMLCite \textit{G. Crippa} and \textit{L. V. Spinolo}, Commun. Pure Appl. Anal. 9, No. 5, 1283--1293 (2010; Zbl 1205.35043) Full Text: DOI arXiv
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. (English) Zbl 1222.35060 SIAM J. Math. Anal. 41, No. 5, 1890-1920 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35F10 35L65 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., SIAM J. Math. Anal. 41, No. 5, 1890--1920 (2009; Zbl 1222.35060) Full Text: DOI arXiv