Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

doi:10.1007/s10483-012-1567-8

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (4): 511-524.doi: https://doi.org/10.1007/s10483-012-1567-8

Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

郭艳凤^1,2, 郭柏灵², 李栋龙¹

1. Department of Information and Computation of Science, Guangxi University of Technology, Liuzhou 545006, Nanning Province, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

收稿日期:2011-05-09 修回日期:2011-02-02 出版日期:2012-04-15 发布日期:2012-04-15
通讯作者: Yan-feng GUO,Associate Professor, Ph. D., E-mail:guoyan feng@yahoo.com.cn E-mail:guoyan feng@yahoo.com.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No.11061003)

Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

Yan-feng GUO^1,2, Bo-ling GUO², Dong-long LI¹

1. Department of Information and Computation of Science, Guangxi University of Technology, Liuzhou 545006, Nanning Province, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

Received:2011-05-09 Revised:2011-02-02 Online:2012-04-15 Published:2012-04-15
Contact: Yan-feng GUO,Associate Professor, Ph. D., E-mail:guoyan feng@yahoo.com.cn E-mail:guoyan feng@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No.11061003)

摘要/Abstract

摘要： The dissipative quantum Zakharov equations are mainly studied. The existence and uniqueness of the solutions for the dissipative quantum Zakharov equations are proved by the standard Galerkin approximation method on the basis of a priori estimate. Meanwhile, the asymptotic behavior of solutions and the global attractor which is constructed in the energy space equipped with the weak topology are also investigated.

中图分类号:

O175.2

郭艳凤;郭柏灵;李栋龙. Asymptotic behaviors of solutions for dissipative quantum Zakharov equations[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(4): 511-524.

Yan-feng GUO;Bo-ling GUO;Dong-long LI. Asymptotic behaviors of solutions for dissipative quantum Zakharov equations[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(4): 511-524.

参考文献

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Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

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