Long time behavior of the solutions for the dissipative modified Zakharov equations for plasmas with a quantum correction

In this paper, we study the long time behavior of the solutions for the dissipative modified Zakharov equations for plasmas with a quantum correction. Subsequent to our previous work (L.Y. Jin et al. 2012), where the existence of the global attractor A⊂L2(Ω)×(H2(Ω)∩H01(Ω))×(H3(Ω)∩H01(Ω)) is obtained via delicate a prior estimates, we are further going to investigate and obtain the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor.