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Bose-Einstein凝聚中一类非线性Schrdinger方程的门槛条件 被引量：2

Threshold of a Class of Nonlinear Schrdinger Equations in Bose-Einstein Condensate
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摘要 本文考虑Bose-Einstein凝聚中一类非线性Schrdinger方程.通过构造一类强制变分问题和建立两个不变发展流,解决了该方程整体解和爆破解存在所依赖的初始值的门槛条件. We investigate a class of nonlinear Schrodinger equations in Bose-Einstein condensate. By constructing a constrained variational problem and establishing two invariant evolution flows, we obtain the threshold of global existence and blowup of the system.
作者 黄欣 蒲志林
机构地区 四川财经职业学院人文科学系 四川师范大学数学与软件科学学院
出处 《应用数学》 CSCD 北大核心 2008年第4期650-655,共6页 Mathematica Applicata
基金 国家自然科学基金(10726033 10771151) 四川省教育厅重点科研项目(2006A063) 四川省科技厅应用基础科研项目(07JY029-012)
关键词 BOSE-EINSTEIN凝聚 非线性SCHRODINGER方程 门槛条件 整体存在 爆破 Bose-Einstein condensate Nonlinear Schrodinger equation Threshold Global existence Blowup.
分类号 O175.24 [理学—基础数学]
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参考文献13

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共引文献2

同被引文献18

  • 1王明亮,李向正,韩淑霞.Nizhnik方程组的一个非线性变换和多重孤子解(英文)[J].应用数学,2005,18(2):225-231. 被引量：4
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应用数学
2008年 第4期

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