Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies

Thomas Chen¹ ; Nataša Pavlović¹

¹ University of Texas at Austin, Department of Mathematics, Austin, TX 78712, USA

Mathematical modelling of natural phenomena, Tome 5 (2010) no. 4, pp. 54-72.

Résumé

In this paper, we review some of our recent results in the study of the dynamics of interacting Bose gases in the Gross-Pitaevskii (GP) limit. Our investigations focus on the well-posedness of the associated Cauchy problem for the infinite particle system described by the GP hierarchy.

Détail

DOI : 10.1051/mmnp/20105403

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