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混合Bose-Einstein凝聚的解的整体稳定性 被引量：3

Global Stability of Solutions for Mixed Bose-Einstein Condensates
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摘要 在三维空间中研究描述混合Bose Einstein凝聚(BEC)的耦合Gross Pitaevskii(GP)方程组,讨论了其Cauchy问题解的局部适定性,建立了由GP方程组产生的流形下的不变集合,利用不变集理论得到了Cauchy问题解的整体稳定性的一个充分条件. This paper deals with the coupled GrossPitaevskii(GP) equations which describe the mixed BoseEinstein condensates. The local wellposedness of the solutions for the Cauchy problem is discussed. The invariant set generated under the flow by the GP equations is established, and a sufficient condition of the global stability of the solutions for the Cauchy problem is obtained by using the invariant set theory.
作者 邓艳萍 张健
机构地区 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 2003年第3期225-227,共3页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金资助项目(19871059)
关键词 混合的Bose-Einstein凝聚 耦合 Gross-Pitaevakii方程组 整体稳定性 Mixed Bose-Einstein condensate Coupled Gross-Pitaevskii equations Global stability
分类号 O175.27 [理学—基础数学]
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参考文献17

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共引文献23

同被引文献38

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引证文献3

二级引证文献7

四川师范大学学报（自然科学版）
2003年 第3期

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