| 一类广义长短波方程组在无界区域上的整体吸引子 |
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| 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 |
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| 作者姓名： | 张瑞凤 郭柏灵 |
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| 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 |
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| 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.
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| 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 |
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| 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 |
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| 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. |
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| Keywords: | Long-Short wave equations a priori estimates global attractor |
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