3 citations · 8 across the 8 of their papers we have counts for
10 papers · 1 filter
An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate
Maria Colombo, Gianluca Crippa, Elio Marconi +1
Consider a non-local (i.e., involving a convolution term) conservation law: when the convolution term converges to a Dirac delta, in the limit we formally recover a classical (or "…
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…
Generalized Characteristics for Finite Entropy Solutions of Burgers' Equation
Andres A. Contreras Hip, Xavier Lamy, Elio Marconi
We prove the existence of generalized characteristics for weak, not necessarily entropic, solutions of Burgers' equation \[ \partial_t u +\partial_x \frac{u^2}{2} =0, \] whose entr…
New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks
Simone Dovetta, Elio Marconi, Laura V. Spinolo
We focus on entropy admissible solutions of scalar conservation laws in one space dimension and establish new regularity results with respect to time. First, we assume that the flu…