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带有阻尼项的广义对称正则长波方程的指数吸引子

尚亚东 郭柏灵

尚亚东, 郭柏灵. 带有阻尼项的广义对称正则长波方程的指数吸引子[J]. 应用数学和力学, 2005, 26(3): 259-266.
引用本文: 尚亚东, 郭柏灵. 带有阻尼项的广义对称正则长波方程的指数吸引子[J]. 应用数学和力学, 2005, 26(3): 259-266.
SHANG Ya-dong, GUO Bo-ling. Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term[J]. Applied Mathematics and Mechanics, 2005, 26(3): 259-266.
Citation: SHANG Ya-dong, GUO Bo-ling. Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term[J]. Applied Mathematics and Mechanics, 2005, 26(3): 259-266.

带有阻尼项的广义对称正则长波方程的指数吸引子

基金项目: 国家自然科学基金资助项目(10271034)
详细信息
    作者简介:

    尚亚东(1963- ),男,陕西周至人,教授,博士(联系人.Tel:+86-20-86232840;Fax:+86-20-86237565;E-mail:ydshang@263.net).

  • 中图分类号: O175.29

Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term

  • 摘要: 考虑了带有阻尼项的广义对称正则长波方程的整体快变动力学.证明了与该方程有关的非线性半群的挤压性质和指数吸引子的存在性.对指数吸引子的分形维数的上界也进行了估计.
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    [11] SHANG Ya-dong,GUO Bo-ling,FANG Shao-mei.Long time behavior of the dissipative generalized symmetric regularized long wave equations[J].Journal of Partial Differential Equations,2002,15(1):21—35.
    [12] SHANG Ya-dong,GUO Bo-ling. Finite dimensional behavior for the dissipative generalized symmetric regularized long wave equations[J].Journal of Systems Science and Complexity,2003,16(2):236—248.
    [13] Babin A V,Vishik M I.Regular attractors of semigroup and evolution equations[J].Journal of Mathematics Pure and Applications,1983,62(5):441—491.
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    [15] 戴正德,郭柏灵.惯性流形和近似惯性流形[M].北京:科学出版社,2000,226—242.
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出版历程
  • 收稿日期:  2003-09-22
  • 修回日期:  2004-11-27
  • 刊出日期:  2005-03-15

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