78 citations · 481 across the 48 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
math-ph2008★ 7 cited
On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
Thomas Chen, Nataša Pavlović
We consider the dynamical Gross-Pitaevskii (GP) hierarchy on , , for cubic, quintic, focusing and defocusing interactions. For both the focusing and defocusing case,…
math-ph2008★ 3 cited
The quintic NLS as the mean field limit of a Boson gas with three-body interactions
Thomas Chen, Nataša Pavlović
We investigate the dynamics of a boson gas with three-body interactions in dimensions . We prove that in the limit of infinite particle number, the BBGKY hierarchy of -pa…