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Abstract
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The nonlinear dispersive equations attracted a lot of attention of mathematical community during the last decade, which emphasizes importance of making their derivation rigorous.
In this talk, we look at the derivation of a certain type of NLS from many-body interactions of bosonic particles with many-body interactions.
We establish convergence of the BBGKY to the (Gross-Pitaevskii) GP hierarchy by adapting the arguments originated from the work of Erd?s-Schlein-Yau.
While for the proof of uniqueness on factorized solutions to the infinite GP hierarchy, we expand the so called "board game" approach introduced by Klainerman-Machedon.
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