Speaker: Dr.Zhihui Xie，University of Texas at Austin Inviter: 尚在久 研究员 Title: Derivation of Nonlinear Schr?dinger equation (NLS) from many-body interactions Time & Venue: 2013.3.8 3:00pm S703 Abstract: 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.
