36 citations · 140 across the 28 of their papers we have counts for
5 papers · 1 filter
On Lebesgue points of entropy solutions to the eikonal equation
Xavier Lamy, Elio Marconi
We consider entropy solutions to the eikonal equation in two space dimensions. These solutions are motivated by a class of variational problems and fail in general t…
Enhanced dissipation for two-dimensional Hamiltonian flows
Elia Bruè, Michele Coti Zelati, Elio Marconi
Let be an autonomous, non-constant Hamiltonian on a compact -dimensional manifold, generating an incompressible velocity field . We give…
Stability of quasi-entropy solutions of non-local scalar conservation laws
Elio Marconi, Emanuela Radici, Federico Stra
We prove the stability of entropy solutions of nonlinear conservation laws with respect to perturbations of the initial datum, the space-time dependent flux and the entropy inequal…
Stability of the vortex in micromagnetics and related models
Xavier Lamy, Elio Marconi
We consider line-energy models of Ginzburg-Landau type in a two-dimensional simply-connected bounded domain. Configurations of vanishing energy have been characterized by Jabin, Ot…
Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate
Maria Colombo, Gianluca Crippa, Elio Marconi +1
Nonlocal conservation laws (the signature feature being that the flux function depends on the solution through the convolution with a given kernel) are extensively used in the mode…