HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Stochastic fluctuations in the Gross-Pitaevskii equation

Files in This Item:
pre842.pdf240.58 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83992

Title: Stochastic fluctuations in the Gross-Pitaevskii equation
Authors: De Bouard,Anne Browse this author
Fukuizumi, Reika Browse this author
Keywords: Nonlinear Schr¨odinger equation
stochastic partial differential equations
white noise
Issue Date: 2007
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 842
Start Page: 1
End Page: 25
Abstract: We study from a mathematical point of view a model equation for Bose Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time. We prove the existence of solutions in 1D and 2D in the energy space. The blow-up phenomenon is also discussed under critical and super critical nonlinear interactions in the attractive case.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69651
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University