一类广义长短波方程组在无界区域上的整体吸引子 |
| |
引用本文: | 张瑞凤,郭柏灵. 一类广义长短波方程组在无界区域上的整体吸引子[J]. 数学学报, 2008, 51(4): 647-654. DOI: CNKI:SUN:SXXB.0.2008-04-004 |
| |
作者姓名: | 张瑞凤 郭柏灵 |
| |
作者单位: | 河南大学应用数学研究所,北京应用物理与计算数学研究所 开封 475001 河南大学数学与信息科学学院 开封 475001,北京 100088 |
| |
摘 要: | 研究了一类广义长短波方程组在无界区域上的解的长时间行为.通过引进加权空间,应用内插不等式和在加权空间的先验估计,证明了长短波方程组整体吸引子的存在性.
|
关 键 词: | 广义长短波方程组 先验估计 整体吸引子 |
收稿时间: | 2005-07-21 |
修稿时间: | 2007-07-17 |
Attractors for a Class of Generalized Long-Short Wave Equations in an Unbounded Domain |
| |
Affiliation: | Rui Feng ZHANG Institute of Applied Mathematics,He'nan University,Kaifeng 475001,P.R.China College of Mathematics and Information Science,He'nan University,Kaifeng 475001,P.R.China Bo Ling GUO Institute of Applied Physics and Computational Mathematics,Beijing 100088,P.R.China |
| |
Abstract: | A class of generalied Long-Short wave equations in an unbounded domain is studied.By introducing the weighted space,applying interpolation inequality and a priori estimate in weighted space,the existence of global solution for the Long- Short wave equations is obtained.Moreover,the existence of global attractor for these equations is established. |
| |
Keywords: | Long-Short wave equations a priori estimates global attractor |
|
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
|