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

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Asymptotic behaviors of solutions for dissipative quantum Zakharov equations

Yan-feng GUO1,2, Bo-ling GUO2, Dong-long LI1   

  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
  • 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)

Abstract: 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.

2010 MSC Number: 

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