Publications

Preprints

Fabio Ancona, Andrea Marson and Laura V. Spinolo, An informal account of recent results on initial-boundary value problems for systems of conservation laws, Submitted. Also ArXiv:2405.02096
Fabio Ancona, Andrea Marson and Laura V. Spinolo, Existence of vanishing physical viscosity solutions of characteristic initial-boundary value problems for systems of conservation laws, Submitted. Also ArXiv:2401.14865
Maria Colombo, Gianluca Crippa, Elio Marconi and Laura V. Spinolo, An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate, Submitted. Also ArXiv:2311.14528

Journal papers

Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa, Nicola De Nitti, Alexander Keimer, Elio Marconi, Lukas Pflug and Laura V. Spinolo, Oleǐnik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit, J. Hyper. Differential Equations. To appear. Also arXiv:2304.01309
Blanca Ayuso de Dios, Simone Dovetta and Laura V. Spinolo, On the continuum limit of epidemiological models on graphs: convergence and approximation results, Math. Models Methods Appl. Sci. 34 (2024), no. 8, 1483–1532.
Maria Colombo, Gianluca Crippa, Elio Marconi and Laura V. Spinolo, Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate, Arch. Ration. Mech. Anal. 247 (2023), no. 2, 18 (2023)
Simone Dovetta, Elio Marconi and Laura V. Spinolo, New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks, SIAM J. Math. Anal. 54 (2022), no. 3, 3019-3053
Simone Dovetta, Elio Marconi and Laura V. Spinolo, Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension, J. Differential Equations. 307 (2022), 250-296
Maria Colombo, Gianluca Crippa, Marie Graff and Laura V. Spinolo, On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws, ESAIM Math. Model. Numer. Anal. 55 (2021), no. 6, 2705-2723.
Maria Colombo, Gianluca Crippa, Elio Marconi and Laura V. Spinolo, Local limit of nonlocal traffic models: convergence results and total variation blow-up, Ann. Inst. Henri Poincarè, Anal. Non Linèaire 38, No. 5, 1653-1666 (2021).
Stefano Bianchini and Laura V. Spinolo, Characteristic boundary layers for mixed hyperbolic-parabolic systems in one space dimension, and applications to the Navier-Stokes and MHD equations, Comm. Pure Appl. Math .73, No. 10, 2180-2247 (2020)
Maria Colombo, Gianluca Crippa and Laura V. Spinolo, On the singular local limit for conservation laws with nonlocal fluxes, Arch. Ration. Mech. Anal. 233 (2019), no. 3, 1131-1167.
Goro Akagi, Giulio Schimperna, Antonio Segatti and Laura V. Spinolo, Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability, Commun. Math. Sci. 16 (2018), no. 4, 913-961
Giuseppe Maria Coclite, Mauro Garavello and Laura V. Spinolo, Optimal strategies for a time-dependent harvesting problem, Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 5, 865-900
Anupam Pal Choudhury, Gianluca Crippa and Laura V. Spinolo, Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system, Z. Angew. Math. Phys. 68 (2017), no. 6, 68:138
Giuseppe Maria Coclite, Mauro Garavello and Laura V. Spinolo, A mathematical model for piracy control through police response, NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 4, 24:48
Stefano Bianchini, Maria Colombo and Gianluca Crippa and Laura V. Spinolo, Optimality of integrability estimates for advection-diffusion equations, NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 4, 24:33
Laura Caravenna and Laura V. Spinolo, Schaeffer's regularity theorem for scalar conservation laws does not extend to systems, Indiana Univ. Math. J. 66 (2017) no. 1, 101-160.
Laura Caravenna and Laura V. Spinolo, New interaction estimates for the Baiti-Jenssen system, Netw. Heterog. Media 11 (2016), no. 2, 263-280
Siddhartha Mishra and Laura V. Spinolo, Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws, J. Hyper. Differential Equations 12 (2015), no. 1, pp. 61-86
Gianluca Crippa, Carlotta Donadello and Laura V. Spinolo, Initial-boundary value problems for continuity equations with BV coefficients, J. Math. Pures Appl. (9) 102 (2014), no. 1, 79-98.
Antoine Lemenant, Emmanouil Milakis and Laura V. Spinolo, On the extension property of Reifenberg-flat domains, Ann. Acad. Sci. Fenn. Math. 39 (2014), 51-71.
Cleopatra Christoforou and Laura V. Spinolo, Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems, Quart. Appl. Math. 71 (2013), 433-453.
Antoine Lemenant, Emmanouil Milakis and Laura V. Spinolo, Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains, J. Funct. Anal. 264 (2013), no. 9, 2097-2135
Cleopatra Christoforou and Laura V. Spinolo, A uniqueness criterion for viscous limits of boundary Riemann problems, J. Hyperbolic Differ. Equ. 8 (2011), no. 3, 507-544
Stefano Bianchini and Laura V. Spinolo, Invariant manifolds for a singular ordinary differential equation, J. Differential Equations 250 (2011), no. 4, 1788-1827.
Luigi Ambrosio, Gianluca Crippa, Alessio Figalli and Laura V. Spinolo, Some new well-posedness results for continuity and transport equations, and applications to the chromatography system, SIAM J. Math. Anal. 41 (2009), no. 5, 1890-1920.
Stefano Bianchini and Laura V. Spinolo, A connection between viscous profiles and singular ODEs, Rend. Istit. Mat. Univ. Trieste 41 (2009), 35-41
Stefano Bianchini and Laura V. Spinolo, The boundary Riemann solver coming from the real vanishing viscosity approximation, Arch. Ration. Mech. Anal. 191 (2009), no. 1, 1-96.
Laura V. Spinolo, Vanishing viscosity solutions of a 2x2 triangular hyperbolic system with Dirichlet conditions on two boundaries, Indiana Univ. Math. J. 56 (2007), no. 1, 279-364.

Proceedings

Maria Colombo, Gianluca Crippa, Marie Graff and Laura V. Spinolo, Recent results on the singular local limit for nonlocal conservation laws, Hyperbolic problems: theory, numerics and applications, pp. 369-376, AIMS Series on Appl. Math., 10.
Stefano Bianchini and Laura V. Spinolo, An overview on the approximation of boundary Riemann problems through physical viscosity, Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 1, 131-142.
Laura Caravenna and Laura V. Spinolo, A counter-example concerning regularity properties for systems of conservation laws, Proc. Appl. Math. Mech., 15: 625-626.
Gianluca Crippa, Carlotta Donadello and Laura V. Spinolo, A note on the initial-boundary value problem for continuity equations with rough coefficients, Hyperbolic problems: theory, numerics and applications, pp. 957-966, AIMS Series on Appl. Math., 8, 2014.
Cleopatra Christoforou and Laura V. Spinolo, On the physical and the self-similar viscous approximation of a boundary Riemann problem, Riv. Math. Univ. Parma (N.S.) 3 (2012), 41-54.
Luigi Ambrosio, Gianluca Crippa, Alessio Figalli and Laura V. Spinolo, Existence and uniqueness results for the continuity equation and applications to the chromatography system, Nonlinear conservation laws and applications, 195-204, IMA Vol. Math. Appl., 153, Springer, New York, 2011
Laura V. Spinolo, Notes on the study of the viscous approximation of hyperbolic problems via ODE analysis, Riv. Math. Univ. Parma (N.S.) 1 (2010), no. 1, 151-188.
Gianluca Crippa and Laura V. Spinolo, An overview on some results concerning the transport equation and its applications to conservation laws, Commun. Pure Appl. Anal. 9 (2010), no. 5, 1283-1293
Stefano Bianchini and Laura V. Spinolo, Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems, Hyperbolic problems: theory, numerics and applications, 419-428, Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI, 2009