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Mathematical analysis of the collapse in Bose-Einstein Condensate
  • 期刊名称：Acta Mathematica Scientia, English Series
  • 时间：0
  • 页码：56-64
  • 语言：英文
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]Software Laboratory Sichuan Normal University College of Mathematics and Software Science Department of Mathematics and Statistics Curtin University of Technology
  • 相关基金：Supported by National Natural Science Foundation of China (10771151)
  • 相关项目：非线性波动系统整体存在的最佳条件与驻波的稳定性
作者： Wu Yonghong|张健|李晓光|
中文摘要：

In this article, the authors consider the collapse solutions of Cauchy problem for the nonlinear Schrdinger equation iψt + 1/2 △ψ - 1/2 ω2|x|2ψ + |ψ|2ψ = 0, x ∈ R2, which models the Bose-Einstein condensate with attractive interactions. The authors establish the lower bound of collapse rate as t → T . Furthermore, the L2-concentration property of the radially symmetric collapse solutions is obtained.

英文摘要：

In this article, the authors consider the collapse solutions of Cauchy problem for the nonlinear Schrdinger equation iψt + 1/2 △ ψ - 1/2 ω2|x|2ψ + |ψ|2ψ = 0, x ∈ R2, which models the Bose-Einstein condensate with attractive interactions. The authors establish the lower bound of collapse rate as t → T . Furthermore, the L2-concentration property of the radially symmetric collapse solutions is obtained.

同期刊论文项目
非线性波动系统整体存在的最佳条件与驻波的稳定性
期刊论文 57
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