8 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
Deterministic particle method for nonlinear nonlocal scalar balance equations
Emanuela Radici, Federico Stra
We study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with…
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…
Entropy solutions of non-local scalar conservation laws with congestion via deterministic particle method
Emanuela Radici, Federico Stra
We develop deterministic particle schemes to solve non-local scalar conservation laws with congestion. We show that the discrete approximations converge to the unique entropy solut…
First order expansion in the semiclassical limit of the Levy-Lieb functional
Maria Colombo, Simone Di Marino, Federico Stra
We prove the conjectured first order expansion of the Levy-Lieb functional in the semiclassical limit, arising from Density Functional Theory (DFT). This is accomplished by interpr…
Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data
Maria Colombo, Federico Stra
We disprove a conjecture in Density Functional Theory, relative to multimarginal optimal transport maps with Coulomb cost. We also provide examples of maps satisfying optimality co…