Asymptotic behaviors of solutions for dissipative quantum Zakharov equations |
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| Authors: | Yan-feng Guo Bo-ling Guo Dong-long Li |
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| Institution: | 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) |
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| 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. |
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| Keywords: | quantum Zakharov equation absorbing set global attractor |
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