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

被引：7
|
作者：
Guo, Changhong [1 ]
Fang, Shaomei [1 ]
Guo, Boling [2 ]
机构：
[1] South China Agr Univ, Dept Math, Guangzhou 510640, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 403卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Global attractor; Modified Zakharov equations; Quantum correction; Finite Hausdorff and fractal dimensions;
D O I：
10.1016/j.jmaa.2013.01.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：183 / 192
页数：10
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