2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2018★ 2 cited
On well-posedness and uniqueness for general hierarchy equations of Gross-Pitaevskii and Hartree type
Zied Ammari, Quentin Liard, Clément Rouffort
Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs emerging naturally from the mean field theory of Bose gases. Their solutions are known to be related t…
math-ph2016
On the mean field approximation of many-boson dynamics
Quentin Liard
We show under general assumptions that the mean-field approximation for quan- tum many-boson systems is correct. Our contribution unifies and improves on most of the known results.…
math.AP2016★ 1 cited
On the uniqueness of probability measure solutions to Liouville's equation of Hamiltonian PDEs
Zied Ammari, Quentin Liard
In this paper, we give a uniqueness result to a transport equation fulfilled by probability measure on a infinite dimensional Hilbert space. Main arguments are based on projective…