Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
Analysis of PDEs
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the linearized evolution.
Cite
@article{arxiv.math/0605655,
title = {Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions},
author = {S. Gustafson and K. Nakanishi and T. -P. Tsai},
journal= {arXiv preprint arXiv:math/0605655},
year = {2009}
}