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

Published online by Cambridge University Press:  12 May 2010

Thomas Chen  and
Nataša Pavlović
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Abstract

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

Keywords

Bose gasGross-Pitaevskii limitBBGKY hierarchynonlinear Schrödinger equationsmean field limit
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 4: Spectral problems. Issue dedicated to the memory of M. Birman , 2010 , pp. 54 - 72
Copyright
© EDP Sciences, 2010

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