| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 4, 2010
Spectral problems. Issue dedicated to the memory of M. Birman
|
|
|---|---|---|
| Page(s) | 54 - 72 | |
| DOI | https://doi.org/10.1051/mmnp/20105403 | |
| Published online | 12 May 2010 | |
Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies
University of Texas at Austin, Department of Mathematics,
Austin, TX
78712, USA
* Corresponding author. E-mail:
tc@math.utexas.edu
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.
Mathematics Subject Classification: 35Q55 / 81V70
Key words: Bose gas / Gross-Pitaevskii limit / BBGKY hierarchy / nonlinear Schrödinger equations / mean field limit
© EDP Sciences, 2010
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