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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Contributed by Bo-ling GUO
Project supported by the National Natural Science Foundation of China (No. 11061003)
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Guo, Yf., Guo, Bl. & Li, Dl. Asymptotic behaviors of solutions for dissipative quantum Zakharov equations. Appl. Math. Mech.-Engl. Ed. 33, 511–524 (2012). https://doi.org/10.1007/s10483-012-1567-8
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DOI: https://doi.org/10.1007/s10483-012-1567-8