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一类耗散的色散水波方程的指数吸引子

The Exponential Attractor for a Class of Nonlinearly Dispersive Wave Equation with Dissipation
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摘要 在一定边界条件下研究一类新的带耗散项的色散水波方程动力学行为,获得该方程指数吸引子的存在性. The dynamical behaviors of a class of nonlinearly dispersive wave equation with dissipation under the periodic boundary conditions are investigated. Therefore, the existence of exponential attractor of semi - group to solution is proved.
机构地区 江苏大学理学院
出处 《佳木斯大学学报(自然科学版)》 CAS 2007年第2期262-263,273,共3页 Journal of Jiamusi University:Natural Science Edition
基金 江苏省高校自然科学研究计划(05KJB110018)
关键词 色散水波方程 指数吸引子 挤压性 dispersive wave equation exponential attractors the squeezing property
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