14 citations · 14 across the 2 of their papers we have counts for
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From the Hartree to the Vlasov dynamics: conditional strong convergence
Chiara Saffirio
We review the recent results [45, 46] concerning the semiclassical limit from the Hartree dynamics to the Vlasov equation with singular potentials and extend them to the case of mo…
Semiclassical limit to the Vlasov equation with inverse power law potentials
Chiara Saffirio
We consider mixed quasi-free states describing fermions in the mean-field limit. In this regime, the time evolution is governed by the nonlinear Hartree equation. In the large…
From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states
Chiara Saffirio
We consider the evolution of fermions interacting through a Coulomb or gravitational potential in the mean-field limit as governed by the nonlinear Hartree equation with Coulom…
Mean-field evolution of fermions with singular interaction
Chiara Saffirio
We consider a system of N fermions in the mean-field regime interacting though an inverse power law potential , for . We prove the convergence of a solutio…
Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond
Chiara Saffirio
We review some results concerning the derivation of the Boltzmann equation starting from the many-body classical Hamiltonian dynamics. In particular, the celebrated paper by O. E.…