Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. (English) Zbl 1375.35485 Ann. Henri Poincaré 8, No. 7, 1303-1331 (2007). Summary: 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. Cited in 2 ReviewsCited in 33 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 35B40 Asymptotic behavior of solutions to PDEs 76A25 Superfluids (classical aspects) 82D50 Statistical mechanics of superfluids PDFBibTeX XMLCite \textit{S. Gustafson} et al., Ann. Henri Poincaré 8, No. 7, 1303--1331 (2007; Zbl 1375.35485) Full Text: DOI arXiv