GLOBAL SOLUTION AND ITS LONG TIME BEHAVIOR FOR THE GENERALIZED LONG-SHORT WAVE EQUATIONS  被引量:6

GLOBAL SOLUTION AND ITS LONG TIME BEHAVIOR FOR THE GENERALIZED LONG-SHORT WAVE EQUATIONS

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作  者:Zhang Ruifeng Guo Boling 

机构地区:[1]College of Mathematics and Information Science, Henan University, Kaifeng 475001 Beijing [2]Graduate School of Chinese Academy of Engineering Physics, Beijing 100088, China [3]Beijing Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

出  处:《Journal of Partial Differential Equations》2005年第3期206-218,共13页偏微分方程(英文版)

基  金:Supported by the Natural Science Foundation of Henan Educational Committee (2003110005) and Henan University (XK02069).

摘  要:The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a uniform a priori estimate for time. And also the dimensions of the global attractor are estimated.

关 键 词:The generalized long-short wave equations a uniform priori esti-mate global attractor Hausdorff dimension fractal dimension. 

分 类 号:O175[理学—数学]

 

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