[marconi]

researcher, Università di Padova

**Email:** *elio.marconi AT unipd.it*

**Home-page:** https://sites.google.com/view/eliomarconi/

- F. Ancona - A. Bressan - E. Marconi - L. Talamini (Preprint)

Intermediate domains for scalar conservation laws (2024) - L. Caravenna - E. Marconi - A. Pinamonti (Accepted Paper:
*SIAM J. Math. Anal.*)

Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group (2024) - G. M. Coclite - M. Colombo - G. Crippa - N. De Nitti - A. Keimer - E. Marconi - L. Pflug - L. V. Spinolo (Submitted Paper)

Oleĭnik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit (2023) - M. Colombo - G. Crippa - E. Marconi - L. V. Spinolo (Preprint)

Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate (2022) - X. Lamy - E. Marconi (Preprint)

Stability of the vortex in micromagnetics and related models (2022) - X. Lamy - E. Marconi (Preprint)

On Lebesgue points of entropy solutions to the eikonal equation (2022) - E. Marconi - E. Radici - F. Stra (Submitted Paper)

Stability of quasi-entropy solutions of non-local scalar conservation laws (2022) - E. Bruè - M. Coti Zelati - E. Marconi (Accepted Paper:
*Arch. Rat. Mech. Anal.*)

Enhanced dissipation for two-dimensional Hamiltonian flows (2022) - M. Colombo - G. Crippa - E. Marconi - L. V. Spinolo (Accepted Paper:
*Ann. de l'institute H. Poincaré, Analyse non linéaire*)

Local limit of nonlocal traffic models: convergence results and total variation blow-up (2021) - E. Marconi (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Characterization of minimizers of Aviles-Giga functionals on special domains (2021) - E. Marconi (Accepted Paper:
*Journal of Differential Equations*)

Differentiability properties of the flow of 2d autonomous vector fields (2021) - S. Dovetta - E. Marconi - L. V. Spinolo (Accepted Paper:
*Journal of Differential Equations*)

Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension (2021) - A. A. Contreras Hip - X. Lamy - E. Marconi (Accepted Paper:
*Nonlinear Analysis*)

Generalized Characteristics for Finite Entropy Solutions of Burgers' Equation (2021) - S. Dovetta - E. Marconi - L. V. Spinolo (Accepted Paper:
*SIAM J. of Math. Anal.*)

New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks (2021) - E. Marconi (Accepted Paper:
*Advances in Calc. Var.*)

Rectifiability of entropy defect measures in a micromagnetics model (2020) - E. Marconi (Accepted Paper:
*Journal of Functional Analysis*)

The rectifiability of the entropy defect measure for Burgers equation (2020) - P. Bonicatto - E. Marconi (Accepted Paper:
*Comm. in Partial Diff. Equations*)

Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$ (2019) - E. Marconi (Accepted Paper:
*Calc. Var. PDEs*)

On the structure of weak solutions to scalar conservation laws with finite entropy production (2019) - E. Marconi (
*Journal of Hyperbolic Differential Equations*)

Regularity estimates for scalar conservation laws in one space dimension (2018) - S. Bianchini - P. Bonicatto - E. Marconi (Preprint)

A Lagrangian approach for scalar multidimensional conservation laws (2017) - S. Bianchini - E. Marconi (
*Arch. Ration. Mech. Anal.*)

On the structure of $L^\infty$-entropy solutions to scalar conservation laws in one-space dimension (2017) - S. Bianchini - E. Marconi (
*Discrete and Continuous Dynamical Systems. Series S*)

On the concentration of entropy for scalar conservation laws (2016) - S. Bianchini - E. Marconi (proceeding)

A Lagrangian approach to scalar conservation laws (2016)

*4 jul 2022 - 6 jul 2022:*Calculus of Variations in Lille - 3rd edition

*9 sep 2024 - 13 sep 2024:*Summer school in fluid dynamics and nonlinear PDEs*8 jul 2019 - 10 jul 2019:*GMT and PDEs in Basel – A young researchers meeting