四川师范大学学报（自然科学版）2003，Vol.26Issue(5)：441-444,4.
具阻尼的Gross-Pitaevskii(GP)方程的整体解
Global Existence for the Damped Gross-Pitaevskii (GP) Equation
摘要
Abstract
This paper considers a critical damped Gross-Pitaevskii(GP) equation iψt=-Δψ+|x|2ψ+g|ψ|4/Dψ+iaψ, t≥0, x∈RD, g＜0, a＜0, where D is the space dimension and this equation is well used to describe attractive Bose-Einstein Condensation (BEC). By rigorous theory of partial differential equation and variational arguments, a sufficient condition for global existence is obtained and this condition is in terms of a unique positive solution of nonlinear scalar field equation -Δu+(2)/(D)u-|u|4/Du=0.关键词
整体解/阻尼/Gross-Pitaevskii(GP)方程/玻色-爱因斯坦凝聚(BEC)/变分方法Key words
Global existence/Damped/Gross-Pitaevskii(GP) equation/Bose-Einstein Condensation (BEC)/Variational arguments分类
数理科学引用本文复制引用
张健,舒级,刘妍丽..具阻尼的Gross-Pitaevskii(GP)方程的整体解[J].四川师范大学学报（自然科学版）,2003,26(5):441-444,4.基金项目
国家自然科学基金(10271084)和四川省杰出青年学科带头人基金资助项目 （10271084）
