机构地区: 广州大学数学与信息科学学院数学系
出 处: 《数学物理学报(A辑)》 2003年第6期745-757,共13页
摘 要: 该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态 .证明了周期初值问题整体吸引子的存在性 ,用关于时间的一致先验估计获得整体吸引子的 H The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are obtained by means of uniform a priori estimates for time.