On the Gross-Pitaevskii equation for trapped dipolar quantum gases

被引：79

作者：

Carles, Remi ^{[1
,2
]}

Markowich, Peter A. ^{[3
]}

Sparber, Christof ^{[3
]}

机构：

[1] CNRS, F-34095 Montpellier 5, France

[2] Univ Montpellier 2, F-34095 Montpellier 5, France

[3] CMS, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

NONLINEARITY | 2008年 / 21卷 / 11期

关键词：

D O I：

10.1088/0951-7715/21/11/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension reduction for this nonlinear and nonlocal Schrodinger equation.

引用

页码：2569 / 2590

页数：22

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