程洁, 戴正德. 耗散广义对称正则长波方程的指数吸引子[J]. 云南大学学报(自然科学版), 2004, 26(1): 15-19.
引用本文: 程洁, 戴正德. 耗散广义对称正则长波方程的指数吸引子[J]. 云南大学学报(自然科学版), 2004, 26(1): 15-19.
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CHENG Jie, DAI Zheng-de. Exponential attractor for dissipative generalized symmetric regularized long wave equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(1): 15-19.
Citation: CHENG Jie, DAI Zheng-de. Exponential attractor for dissipative generalized symmetric regularized long wave equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(1): 15-19.
shu

耗散广义对称正则长波方程的指数吸引子

Exponential attractor for dissipative generalized symmetric regularized long wave equation

    摘要
  • 摘要: 该文考虑了带有耗散项的广义对称正则长波方程,用谱分解方法证明了指数吸引子的存在性,并得到了指数吸引子的分形维数的上界估计.

     

    Abstract: The dissipative generalized symmetric regularized long wave equation is considered.The existence of exponetially attractor is showed by using spectral decomposition method.The upper bounds of it’s fractal dimension is obtained.

     

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