一类临界复Gross-Pitaevskii方程解的无粘性极限

Nonviscous Limit of Solutions to a Class of Critical and Complex Gross-Pitaevskii Equations

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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. 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.

作者姜海波

机构地区湖北文理学院数学与计算机科学学院

出处《湖北文理学院学报》 2014年第11期8-13,共6页 Journal of Hubei University of Arts and Science

基金湖北省教育厅科学技术研究项目(B20122502)

关键词复Gross-Pitaevskii方程粘度系数耗散解的无粘性极限 The complexGross-Pitaevskii equation Viscosity coefficients Dissipation Nonviscous limit of solution

分类号 O175.23 [理学—基础数学]

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湖北文理学院学报

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一类临界复Gross-Pitaevskii方程解的无粘性极限

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