Rigorous derivation of the hydrodynamical equations for rotating superfluids

被引：5

作者：

Liu, Hailiang ^{[1
]}

Sparber, Christof ^{[2
,3
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Wolfgang Pauli Inst, A-1090 Vienna, Austria

[3] Ctr Math Sci, DAMTP, Cambridge CB3 0WA, England

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷 / 05期

基金：

美国国家科学基金会;

关键词：

semiclassical asympotics; nonlinear Schrodinger equation; Bose-Einstein condensates; rotational superfluids; Thomas-Fermi limit;

D O I：

10.1142/S0218202508002826

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a modified WKB approach, we present a rigorous semiclassical analysis for solutions of nonlinear Schrodinger equations with rotational forcing. This yields a rigorous justification for the hydrodynamical system of rotating superfluids. In particular, it is shown that global-in-time semiclassical convergence holds whenever the limiting hydrodynamical system has global smooth solutions and we also discuss the semiclassical dynamics of several physical quantities describing rotating superfluids.

引用

页码：689 / 706

页数：18

共 24 条

[1] Properties of vortices in Bose-Einstein condensates [J].