Preprints
E.M. - L.V. Spinolo, Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit, arXiv (2025)
E.M. - L.V. Spinolo, Well-posedness results for the Generalized Aw-Rascle-Zhang model, arXiv (2025)
A. Bressan - E. M. - G. Vaidya, Uniqueness domains for L∞ solutions of 2x2 hyperbolic conservation laws, arXiv (2025)
F. Ancona - E. M. - L. Talamini, Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws, arXiv (2025)
S. Bianchini - P. Bonicatto - E. M., A Lagrangian approach for scalar multidimensional conservation laws. preprint (2017)
Published/accepted papers
The preprint version of the papers can be found on the preprint servers arXiv and cvmgt.
F. Ancona - A. Bressan - E. M. - L. Talamini, Intermediate domains for scalar conservation laws. Journal of Differential Equations, 2025, 422, pp. 215-250
L. Caravenna - E. M. - A. Pinamonti, Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group. SIAM Journal on Mathematical Analysis, 2025, 57(1), pp. 979-995
E. M. - E. Radici - F. Stra, Stability of quasi-entropy solutions of non-local scalar conservation laws. Calculus of Variations and Partial Differential Equations, 2025, 64(3)
G. M. Coclite - M. Colombo - G. Crippa - N. De Nitti - A. Keimer - E. M. - L. Pflug - L. V. Spinolo, Oleĭnik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit. Journal of Hyperbolic Differential Equations, 2024, 21(3), pp. 681-705
E. Bruè - M. Coti Zelati - E. M., Enhanced dissipation for two-dimensional Hamiltonian flows. Archive for Rational Mechanics and Analysis 2024, 248(84)
M. Colombo - G. Crippa - E. M. - L. V. Spinolo, Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate. Archive for Rational Mechanics and Analysis 2023, 247(2), 18
X. Lamy - E. M., Stability of the vortex in micromagnetics and related models. Ann. Sc. Norm. Super. Pisa Cl. Sci. 2023
X. Lamy - E. M., On Lebesgue points of entropy solutions to the eikonal equation. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023, 8
M. Colombo - G. Crippa - E. M. - L. V. Spinolo, Local limit of nonlocal traffic models: convergence results and total variation blow-up. Annales de l’institut Henri Poincaré C, analyse non linéaire 2021, Vol. 38, Issue 5, pp. 1653-1666
E. M., Characterization of minimizers of Aviles-Giga functionals on special domains. Archive for Rational Mechanics and Analysis 2021, 242(2), pp. 1289–1316
E. M., Differentiability properties of the flow of 2d autonomous vector fields. Journal of Differential Equations, 2021, 301, pp. 330–352
S. Dovetta - E. M. - L. V. Spinolo, Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension. Journal of Differential Equations, 2022, 307, pp. 250–296
A. A. Contreras Hip - X. Lamy - E. M., Generalized Characteristics for Finite Entropy Solutions of Burgers' Equation. Nonlinear Analysis, Theory, Methods and Applications 2022, 219, 112804
S. Dovetta - E. M. - L. V. Spinolo, New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks. SIAM Journal on Mathematical Analysis, 2022, 54(3), pp. 3019–3053
E. M., Rectifiability of entropy defect measures in a micromagnetics model. Advances in Calculus of Variations 2023, 16(1), pp. 233–257
E. M., The rectifiability of the entropy defect measure for Burgers equation. Journal of Functional Analysis 2022, 283(6), 109568
P. Bonicatto - E. M., Regularity estimates for the flow of BV autonomous divergence free vector fields in R^2. Communications in Partial Differential Equations 2021, 46-12, pp. 2235-2267
E. M., On the structure of weak solutions to scalar conservation laws with finite entropy production Calculus of Variations and Partial Differential Equations, 2022, 61(1), 32
E. M., Regularity estimates for scalar conservation laws in one space dimension. Journal of Hyperbolic Differential Equations 2018, Vol. 15, No. 04, pp. 623-691
S. Bianchini - E. M., On the structure of L^∞ entropy solutions to scalar conservation laws in one-space dimension. Archive for Rational Mechanics and Analysis 2017, Volume 226, Number 1, Page 441-493
S. Bianchini - E. M., On the concentration of entropy for scalar conservation laws. Discrete and continuous dynamical systems - S 2016, vol 9, 73 - 88
Proceedings
M. Colombo - G. Crippa - E. M. - L. V. Spinolo, An overwiew of the local limit of non-local conservation laws, and a new proof of a compactness estimate, J. É. D. P. , Exposé no XI, 14 p. (2023); arXiv
E.M., Structure of non entropy solutions to scalar conservation laws, Oberwolfach report of the workshop ”Control methods in Hyperbolic PDEs” (2023);
E.M., On the structure of the kinetic measure for the eikonal equation, proceeding of the MPDSIDA conference in Moscow (2021);
E.M., Rectifiability of entropy defect measures for Burgers equation and applications to a variational problem, Oberwolfach report of the workshop ”Hyperbolic Balance Laws: modeling, analysis, and numerics” (2021);
E.M., Structure and regularity of solutions to 1d scalar conservation laws, Proceedings of the 17-th Conference on Hyperbolic Problems, (2019);
E.M., Lagrangian representations between linear transport and scalar conservation laws (with S. Bianchini and P. Bonicatto), Journal of Mathematical Sciences, Vol. 253, No. 5, March, (2021); english translation from Contemporary Mathematics. Fundamental Directions, Vol. 63, No. 3 (2017);
S. Bianchini, E.M., A Lagrangian approach to scalar conservation laws, proceeding, Theory, Numerics and Applications of Hyperbolic Problems I, pp. 179-190. (2017);
Collaborators
F. Ancona, S. Bianchini, P. Bonicatto, A. Bressan, E. Bruè, L. Caravenna, G.M. Coclite, M. Colombo, A.A. Contreras Hip, M. Coti Zelati, G. Crippa, N. De Nitti, S. Dovetta, A. Keimer, X. Lamy, A. Pinamonti, L. Pflug, E. Radici, L.V. Spinolo, F. Stra, L. Talamini, G. Vaidya.