| 一类临界复Gross-Pitaevskii方程解的无粘性极限 |
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| 引用本文： | 姜海波.一类临界复Gross-Pitaevskii方程解的无粘性极限[J].襄樊学院学报,2014(11):8-13. |
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| 作者姓名： | 姜海波 |
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| 作者单位： | 湖北文理学院数学与计算机科学学院,湖北襄阳,441053 |
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| 基金项目： | 湖北省教育厅科学技术研究项目 |
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| 摘 要： | 用 Duhamel 公式和 Strichartz 估计对一类具有三次方和五次方耗散非线性项的复Gross-Pitaevskii方程（CGPE）进行分析，得到方程不同粘度系数趋于零时解之间的关系，即此方程解的无粘性极限。
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| 关 键 词： | 复Gross-Pitaevskii方程 粘度系数 耗散 解的无粘性极限 |
Nonviscous Limit of Solutions to a Class of Critical and Complex Gross-Pitaevskii Equations |
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| JIANG Haibo.Nonviscous Limit of Solutions to a Class of Critical and Complex Gross-Pitaevskii Equations[J].Journal of Xiangfan University,2014(11):8-13. |
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| Authors: | JIANG Haibo |
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| Institution: | JIANG Haibo (College of Mathematical and Computer Sciences, Hubei University of Arts and Science, Xiangyang 441053, China) |
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| Abstract: | The complex Gross-Pitaevskii equation（CGPE） involving three power and five power dissipative nonlinear terms is studied, and we obtained the relationship of solutions to CGPE if viscosity coefficients tend to zero, that is, the nonviscous limit is obtained for CGPE by the Duhamel formula and Strichartz estimate. |
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| Keywords: | The complexGross-Pitaevskii equation Viscosity coefficients Dissipation Nonviscous limit of solution |
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