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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:403

Article

Guo, Changhong¹  Fang, Shaomei¹  Guo, Boling² 

[1] South China Agr Univ, Dept Math, Guangzhou 510640, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

关键词: Global attractor;    Modified Zakharov equations;    Quantum correction;    Finite Hausdorff and fractal dimensions;   

DOI  :  10.1016/j.jmaa.2013.01.058

来源: Elsevier

【 摘 要 】

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 subset of L-2 (Omega) x (H-2(Omega)boolean AND H-0(1)(Omega)) x (H-3(Omega) boolean AND H-0(1)(Omega)) 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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